Jax Build Guide by PH45
[11.23] PH45's In-depth guide to Jax, the Grandmaster!
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Runes: Read the notes
+10% Attack Speed
+9 Adaptive (5.4 AD or 9 AP)
+10% Attack Speed
+9 Adaptive (5.4 AD or 9 AP)
Ability Order Ability max order
Threats & Synergies
When facing Cho'Gath in lane, pay attention to his position when he uses Vorpal Spikes. Don't get hit by the spikes to avoid the slow and if he fights you with them make sure to dodge the damage with your Counter Strike. Key here is to dodge his Rupture and just all in him after that since he loses to you after that unless you are miles behind him (which shouldn't happen). Just be careful if you are low HP as he can quickly delete you with his Feast.
You need to play aggressively in lane early before she gets 6 since after that it's a lot harder to force on her. If you set her behind early you can keep abusing her. While playing against Illaoi it's important to dodge her Test of Spirit. After she misses that you are free to trade with her as she misses a good portion of her damage when she can't utilize the spirit from it. Your E also dodges her W, which can deny a good amount of damage from her. If she ults and you know you can't finish her at that moment Q away as she heals for a good amount when she deals damage in her ult. If you are having trouble with her healing buy a Bramble Vest or a Executioner's Calling.
Aatrox can be tricky depending on how good they are. Important thing in this matchup is to dodge his key points of his Q. It is also important to walk out of his W from the side before it retracts you to the middle as it basically guarantees him a key area hit on his Q if you stay in the area. Trade while he uses the first 2 procs and then quickly jump out before the 3rd one lands. Tabi and bramble are good items to get against him, or optionally Executioners. Late game you outscale. If he misses his Infernal Chains you can try to all in him. Just dance around his Q procs as they chunk you a lot. When his ult is down he is a lot easier to kill since he won't have his added mobility.
This matchup is often really annoying, but it's still winnable. Level 1 you can walk up to her since she can't utilize her empowered auto vs your E. Just be careful of her kiting out of your E and then re-engaging. Try to not eat too much poke from her Q and try to dodge her E since the 2nd proc will deal a lot of damage. When she uses shroud you should look to disengage or optionally utilize target champions only and try to click in the shroud if she emerges from it. Post 6 you need to be careful of her mobility since she has 3 dashes to avoid your E.
Can be a difficult lane but it's mostly whichever snowballs first. Important thing is to block his W with your E and don't let him get his passive to 5 stacks on you. If you can't run out of his Q circle Q on him so you will be in the inner ring, denying him his heal and extra damage. Early tabis also help quite a lot in this matchup. All in if he misses E, just be careful since most Darius's run Ghost so they will have kiting potential with it.
The new Mundo is quite threatening to Jax I feel since he can avoid Jax's stun with his passive and just chip you down with his Q's and E in lane. Antiheal will be important vs him since he heals quite a bit. You can destroy his canisters that his passive tosses out when he ignores CC, this will deny him the healing and also it won't lower his passives cooldown.
Fiora is an annoying but fun matchup. Be careful when using your E since if she ripostes it you will pretty much die to her as she stuns you with it as well as cripples you. It is best for you to try and upkeep your E for the maximum duration as most Fiora's will try to predict you to use your E's stun earlier than the end of the duration. If the vital is in a bad spot walk out of her vision so the vital reappears in a different spot. If she ults and you can't kill her quickly ward jump out since she deals true damage aswell as heals herself for quite a bit. Tabis are good in this matchup aswell, and Bramble vest is a really good buy against her too. Good thing to remember while she has ulted you is to hug a wall with one vital so she can't proc it, meaning she won't get her healing area.
Really passive lane for most part as GP tends to play pretty safe early on. You can try to cheese him in the furthest bush near his tower, when he goes for the wave. His Q poke can be annoying so you kind of have to kill him before he pokes you down. You can deny his Q poke with your E but you run out of mana quickly that way. Try to bait out his oranges and when it's on cooldown then all in him. While fighting him prioritize destroying his barrels as otherwise he will slow you and chunk you hard with them.
Most Garen's just run Ignite and play to win the lane during early. The key in this matchup is to not fight him while his E is up. You can also just dodge his Q with your E. After his E runs out you can engage on him, block his Q and wait out his W before finishing your stun for maximum stun duration. You have to remember to keep his passive down if you want to wither him down, as otherwise he will regen his hp back up quickly. Also at 6 be mindful of his true damage execute on his R.
You can't really kill him easily as he will just jump away if you engage on him. He will just poke you with his Q and his W's damage. Get Steelcaps and after he uses his jump then engage on him while it's on cooldown. While Gnar's jump is on cooldown he is a lot easier to deal with, just don't let him proc his W passive as that gives him movement speed to kite you. Also keep in mind that it's easier to fight mini Gnar due to how much squishier he is compared to mega form.
Really boring lane since if you try to jump on him or stun him, he will just E on you and negate your jump aswell as stun you briefly. Just farm and try not to fall for his bait's as he can set up for ganks quite well with his E and ult.
Dodge her stun blade and be careful of her Q'ing around. Keep track of her passive stacks as her fully stacked passive will deal a lot of damage.
One of the tougher matchups for Jax. He will poke you a lot and if you engage on him he will melee form E you away. Build Steelcaps and try to bait his E. The best moment to engage on him is when he swaps back to cannon form as then he cant knock you away. Jayce's are usually pretty squishy so if he gets caught he should be relatively easy to kill.
Be careful about his empowered W as that can hurt quite a bit when he combos in his other abilities. When he uses his E, Q behind him to be able to deal damage to him. You still outscale him so you should be fine if you don't int the lane. Early armor helps a decent bit.
He is really annoying and slippery. Will poke you early a lot so getting some sustain is a good idea. If you try to jump on him he will just stun you and E away. If his E is on cooldown and you are confident he can't kill you all in him then. Care for jungle ganks as his ult sets up ganks quite well.
Dodge his W's procs with E and you should do good. Avoid getting hit by his Q and you should win all ins against him. Careful however since he gets courage quickly when hes attacking a champion so back off if you are low hp since he get's quite a lot of hp back just by attacking you a couple of times.
Maybe one of the most annoying lanes you can face. He is weak in early levels so try to force him out early. If you try to trade with him after 3 he will just E and you probably can't finish one auto attack off before he runs out of range. He stacks armor too so your autoattacks won't do much damage to him. If he E's just jump away with Q so you wont take more damage from him. Beware at 6 since his ult is really strong cc that can enable the enemy jungler to get a free kill on you if you aren't careful. With Sunderer Wits build you should be able to duel him in later stages of the game, but lane phase will still be relatively rough.
Can be semi-difficult to kill as he has built in sustain and he can just Q you if you try to jump on him. After 6 and with a couple items he shouldn't be a problem to you though. Again, be careful since he can setup ganks quite well.
Try to make use of his weak early game. Try to force him away from minions early levels and try to get the wave to bounce to you while you cheater reset. If you play smart you can win this matchup but later on his W's attack speed and movespeed slow will make it hard for you to kill him. Ask your jungler for a gank or even a dive if you can kill him since he will eventually scale to a raid boss.
Don't let him get too many E's on to you as it deals true damage. He has quite a good sustain with his W so careful for that. He also gets more attackspeed the lower his HP gets so be careful of that. If he misses his Q and throws it far away from himself then you can try to fight him as he misses a lot of his damage without his axe spam. After 6 he can avoid your stun but he wont have his extra resistances from his ult either.
Her W will deny your jump so try to bait it out and jump on her when it's ended. She will get quite tanky and still deal good amount of damage so she might be hard to deal with especially early with her shield and stun. Try not to stand near walls as she can stun you with her E if she gets you against the wall.
Annoying poke and will just E away if you jump on her. You can't do much unless she misplays so sustain and farm what you can and wait for your jungler. Biggest chance you have to fight her is when her E is down since she cant get out of your E range then. Later on you can burst her down but early you should not have too big of a chance on killing her. Early Steelcaps will help in this matchup.
Lane bully, but winnable even during early parts of lane and you eventually outscale him. Be careful at early levels since if he has fury built up his w and q deal a lot of damage. Block his W with E and you should win the trade if you back off after. After 6 you should have quite an easy time against him with poking him with your ult + W proc. Tabis recommended in this matchup.
Abuse her cooldowns. She can burst you quite quickly with her combos and run away before you get a chance to trade. Very slippery so hard to kill once she gets some levels. If she misses her stun then try to fight her as she can't create distance as easily then. At 6 she gets a big spike in her damage so be mindful.
He can just force you out of lane with his flamespitter and harpoons. Get some magic resist and after 6 you can just auto minions twice, then Q onto rumble and auto + W for a lot of burst damage. Merc treads and early Negatron Cloak are a solid option in this matchup.
Shen deals a lot of damage with his Q so be careful about tanking too many hits from him. Also pay attention to his swords position as if he draws it through you he will deal more damage to you with his Q autos. Generally you want to E just before he taunts you so he doesn't get free damage on you. After 6 he will ult to other lanes and pressure in that way so either be ready to cancel his ult with your E or be ready to TP to help your team or if your TP is down the force down towers top and warn your team.
Teemo is a really annoying champion to face in lane due to him just poking you and blinding you whenever you engage on him. If you jump on him dont attack while he blinds you, instead just walk in front of him to close the gap and then auto him down after blind wears out. Be careful since most of them run ignite so they have a lot of early kill potential. You can also combine your W damage with Q in this matchup so it wont get blocked by his blind. After 6 keep track of where he places shrooms, you will outscale him eventually, mercury's treads are really good against him.
Block his Q with your E and be careful when he ults you as it removes some of your resists and drains your hp over time. Don't give him lead in lane and you should win him.
Don't get cheesed early by his crits. Save your Q for re-engaging him after he spins away. You outscale him, especially after you get Steelcaps and some levels. Early Sheen helps your burst trades a lot, after 6 you can just auto a creep, then Q on him and auto + W to chunk him. Most Tryndameres run Ghost so be careful of them running you down after your E runs out.
You have to bait his pool or he will just dodge your stun with it. While laning try to avoid getting hit by his strong Q poke since it deals quite hefty amount of damage. Stay behind minions so his E can't hit you. He scales hard so try to win lane of else he will become an issue.
Block his Q with your E and don't stand in his E area and you should win the lane. Your E also blocks his W, just keep in mind to let the mark run out before re-engaging unless you are certain you can kill him. Beware of his dive potential with his R since it disables your tower.
Very slippery once he has his E leveled. You can trade with him early but be mindful that he will dodge your E if you fight him in a minion wave. You can block his Q damage if his Q doesn't hit minions at the same time. After level 6 you should be able to outrade him with your Q + passive R proc. Steelcaps are good against him aswell.
Can be annoying, don't chase him unless you are confident you can kill him. This matchup overall is very low interaction matchup as they will most of the time go proxy so you have to stay at your tower to farm. Singed isn't in the best spot right now in terms of power so he shouldn't be too big of a threat during later stages of the game. Some run ignite on Singed so be careful of that as he deals surprising amounts of damage with or without it.
Dodge his Q and you should be fine. Gets pretty tanky so might be hard to kill until you get some items. After he dies run away as his passive form deals quite a lot of damage.
Play careful as he has quite a bit of burst damage. Also at level 1 most of them start E so don't blow your E until he has dashed in or you will lose the trade. Block his Q with your E and wait to stun him after he comes out of his stealth. At level 6 he will probably try to all in you so care for that. Steelcaps are important in this lane. Also keep in mind he can recast his ultimate for a second knockup so he can keep you CC'd for longer, which can setup ganks quite easily.
Seen rarely in top lane. Can be tricky to deal with since she can push you away with her E if you try to jump on her or stun her. Best advice is to get Steelcaps and after she has used her E then Q on her and chip her bit by bit. Careful at level 6 as she can stealth and move away from your stun and just throw you to a nearby wall and stun you.
Get's quite tanky and has somewhat of an advantage in lane with his forging items. After a certain point you won't probably be able to kill him since he get's tanky but you can try to shove him under his tower. Make sure to save your E for his W+auto combo.
Relies on autoattacking a lot, so you should be fine if you manage to block her Q, especially the true damage one. She can be difficult to gank if she has her E up since she can just hop over walls with it so if your jungler is coming for a gank try to bait her into using it. When she casts her W run towards her or Q onto her to deny her the healing and the slow. You can also cancel Camille's E, when her hook hits the wall and starts pulling Camille, stun her then and it will cancel the ability. At 6 be careful of her dodging your stun with her R, since that might cost you the fight.
Care for her empowered E auto and try to not trade when she has lowered your resistances with her Q. Smash her early so she won't get to her powerful late-game state since at that point you are pretty screwed. Post 6 she gets a bit more annoying due to becoming perma ranged.
Mordekaiser is a pretty simple matchup for Jax. Don't get chunked by his Q too much. You can deny him his passive proc with your E since he needs to damage you 3 times in order to proc it. Keep in mind his shield stored on his second bar when engaging. Main thing is to dodge the E so you can stay on top of him for the trade. You probably want to try and chunk him and back off bit by bit early since his passive is really strong. Also remember to ult only after he has ulted, otherwise he steals your extra resistances.
Early game might be tricky due to his bulkiness and damage on W. Dodge his Q with your E and path behind him or to the sides while he casts W to avoid the true damage and beat him down after that. Just be careful that he doesn't ult you under tower post-6. You outscale him decently quickly, though his W damage will still be very high once his grit builds up so be vary of that.
Runes: Lethal Tempo page
+10% Attack Speed
+9 Adaptive (5.4 AD or 9 AP)
+10% Attack Speed
+9 Adaptive (5.4 AD or 9 AP)
Champion Build Guide
Hello, I'm PH45, and this is my Jax Guide.
Hello and welcome to my Jax guide. I used to go by the username of PH45, but nowadays I go by the name Patrik. I am a long time League of Legends player (started back in Season 1). I'm a top lane main, and I picked up Jax as my main champion back in Season 5 and have played him mostly ever since. I've been Diamond since Season 7 until reaching Master in season 11 on EUW.
My currently played EUW account
I also got multiple other accounts but right now I'm mainly playing on the account I listed above.
Check out my YouTube channel where I occasionally post League related videos!
Now on to Jax. Jax is a bruiser style champion, who can really be very diverse with his builds and playstyles. You can play him as a splitpusher and duel almost anyone late game, or you can build him more tanky and peel for your carries, or just go all out and build him as a burster (although not recommended most of the time). Jax is a great champion to pickup as he isn't necessarily the most complex champion mechanics wise, but rather requires matchup knowledge. Knowing where to be and what to do at the right time as Jax is the key to utilizing him to his fullest potential.
Flash: Best summoner spell in the game. Flash gives you the capability of getting over walls or quickly getting in range with Leap Strike. Overall just no a no-brainer of a summoner spell.
Ignite: Ignite is a very powerful tool to have in lane phase since it has a relatively low cooldown, and it can give you a good edge in a duel in lane. Especially if the lane is snowbally, or your opponent has healing in their kit, this can make the difference during an all-in.
Teleport: Teleport is the second choice in 99% of cases in top lane for Jax. Most of the time it enables you to splitpush and teleport to teamfights or skirmishes if you aren't near the fight when it breaks out. It can also help you in tough matchups where you have to back a lot early.
Smite is mandatory for jungling so if you are jungling take it. Often I like to take red Smite when I'm jungling as Jax for the added dueling power, although blue Smite isn't bad either especially if you need the slow for certain kind of targets.
+ Excellent duelist
+ Can fight almost anyone late game
+ Really good scaling
+ Great splitpusher
+ Has a built-in escape with ward + Leap Strike
+ Has an auto-attack reset
+ Gets naturally tanky in fights when using Grandmaster's Might, as it gives you a good amount of resists
Jax is a very strong fighter once he picks up a couple items, and in late game he can be a monster in the right hands.
- Can be shut down by CC
- Hard to get back in the game if behind
- Requires matchup knowledge
- Has some difficult matchups
- Can sometimes struggle with teamfighting
- Can end up being a mana-hungry champ
Falling behind as Jax can be very punishing. It is really hard to get back to the game if you fall behind a lot and especially then if the enemy team keeps denying you XP and CS.
|Precision is arguably the best choice for Jax. It gives him a lot of things he wants like free damage, healing and also tenacity which is really important on a melee champion like Jax.|
As the keystone of choice I have picked Lethal Tempo. The recent change to Lethal Tempo made it a really strong choice on Jax, since he likes attack speed and it also increases attack speed range at max stacks. The effect also stays up if you can attack enemy champions constantly, so you can get a lot of value of this is if you can stick onto enemies.
|Next one on the list is Triumph. Short and sweet, it can save you in a clutch situation or just grant you some HP back in a intense teamfight. You can also run Presence of Mind to help with your mana problems, but often I find Triumph to be really good for surviving skirmishes and teamfights, or even just dives.|
|Next are the Legend tier runes, from which all are fine really, although I think Legend: Tenacity and Legend: Bloodline outweigh Legend: Alacrity. Legend: Tenacity helps a lot vs high CC comps, or even vs lower CC comps it can still be really valuable. You should alter your choice depending on your matchup and enemy comp. If your opponents have a lot of CC or lockdown then Legend: Tenacity should be an obvious choice. If however the enemy team has little-to-no CC then Legend: Bloodline is a great choice due to the sustain it offers, especially since my builds usually don't include lifesteal.|
|Lastly from the Precision tree we have either Coup de Grace or Last Stand. I like Last Stand on Jax since you'll be in the middle of the fight most of the time so you'll take damage anyways and deal more damage with it. With Coup de Grace your targets melt faster when you get them below 40% HP, which Jax can do relatively easily when snowballing. Both are fine but personally at this moment, I prefer Last Stand.|
|Inspiration helps you with early laning and trading as you get movement speed while using potions and some extra sustain with cookies.|
|Biscuit Delivery will help you to sustain in harder lanes if you are knocked low early. Also can be used to regen some mana and it also gives some permanent mana on consumption or when sold. Other option is Magical Footwear, which gives you free boots after a while, but you can't buy them. If you get takedowns, you get your boots quicker. The boots will also have +10 movement speed, which is always helpful.|
|When you activate a potion you will instantly heal for half of the total healing, and also get movement speed while the rest of the duration keeps running. Utilize this while trading to keep up with your opponent.|
|If you want to go for more defensive runes then take the Resolve tree.|
|For the first rune I would probably Bone Plating. It helps you in lane with your trades. After it procs it reduces the damage your opponents next 3 attacks/abilities deal to you. This is useful during trades in lane phase. If you are going into a poke lane then Second Wind will be more valuable.|
|Second rune choice is Unflinching. It gives Tenacity and slow resistance which is always really nice to have, especially in later parts of the game where picks can make a huge difference.|
Relentless Assault (Passive): Jax gains bonus attack speed for 2.5 seconds every time he lands a basic attack, stacking up to 8 times. This falls off one stack at a time. To utilize this passive in lane auto attack minions as much as you can before engaging the enemy so you have more attack speed to fight with.
Leap Strike (Q): Jax leaps to targeted enemy while dealing physical damage to the target. It can also be used to jump on wards, plants, Thresh lanterns etc. If you use your W before using Q the W's damage will be applied on top of your Q's damage.
Empower (W): Jax's next basic attack or Leap Strike within 10 seconds deals bonus magic damage. It is also an autoattack reset so after your auto attack has landed activate this for and immediate autoattack. It also adds 50 extra range on the empowered auto, which can make it easier to hit for a quick poke or trade.
Counter Strike (E): When activated the first time Jax will block all incoming auto attacks for 2 seconds aswell as will take 25% reduced damage from all area of effect abilities. At the end of the duration or when reactivated Jax stuns nearby enemies for 1 second and deals physical damage to them, increased by 20% for each attack dodged, up to a 100% increase. This is the key to winning melee matchups at level 1. Just auto minions for your passive and then auto the enemy while near his minion wave so your E's damage increases.
Grandmaster's Might (R): It's passive enables Jax to deal bonus magic damage on every third basic attack within 2.5 seconds of each other. When activated Jax gains bonus armor and bonus magic resistance for 8 seconds. Once you hit level 6 in lane auto minions twice and then Q onto your enemy and autoattack and follow with immediate W for a good amount of burst.
Trinity Force has always been a core item on Jax. It has nice boost on his attack speed, health, damage, Sheen proc and also ramp-up damage with the new Threefold Strikes passive, which increases your base AD when you hit enemy champions or structures. It gives some extra AD, AH and movement speed for your legendary items with its Mythic passive.
I really like this item on Jax, especially now that they buffed it. The reason it feels good is cause it gives you a big HP pool (400 bonus health), so you can frontline more early in the game, and the item stil gives you 35 AD and the 20 haste which are beneficial stats for Jax. On top of that the Moonflair Spellblade proc deals 12% of targets max health as physical damage on-hit and heals you for a bit if the target is a champion. The mythic passive also gives hybrid penetration which benefits Jax greatly. The only con is that it has no attack speed, which is why you pair it with an item like Wit's End or Blade of the Ruined King.
This item is just Ninja Tabi but renamed. Good for autoattack reliant matchups and also vs fed ADC's etc. Most of the time I go these boots unless the enemy comp has heavy CC which can be an issue.
Pretty self-explanatory, get this if the enemy laner or the whole enemy comp has a lot of CC as it can shut you down pretty well.
Ionian boots of Lucidity
I often like Plated Steelcaps or Mercury's Treads, but you can run these boots to have more ability haste. These will help you have your abilities up more often and your summoner spells have lower cooldown too. With more ability haste you will have your Counter Strike up more often, so you can block autos more often.
This item will offer you more power for applying pressure in a sidelane. You get good stats from it (50 AD and 400 HP + 150% base HP regen), and the passive gives you bonus armor and MR, and you deal 20% bonus damage against structures, if you have no allies near you. In addition, nearby allied siege and super minions will gain bonus resistances and deal 200% bonus damage to structures as well. Most of the time though, I find other items to be more valuable options.
Anathema's Chains was designed for tanks, but Jax for sure can utilize this item as well. Whether laning in sidelane or in a teamfight scenario, this item will be useful in the sense that it can make you take 30% less damage from a single threat on the enemy team (a fed adc for example), and the target enemy will also have 20% reduced Tenacity near you, which makes them more vulnerable to getting picked out. The item also gives a lot of HP and some ability haste as well (650 HP and 20 AH) which are both greats stats on Jax.
Actually a very nice item now, gives good amount of HP, some Ability Haste and AD, and the passive shreds enemies armor still. It also gives movement speed per stack on Carve for 2 seconds which helps you to stick onto targets.
If the opposing team has lot's of healing champions or just a fed AD champ with healing this is the perfect item. Taking basic attacks reflects magic damage back to attacker and applies a 40% Grievous Wound, and immobilizing enemies will apply a 60% Grievous Wound instead.
Good choice against AD champions, especially vs those who run crit. The active slow is nice, and it also reduces enemies attack damage by 10% and critical strike damage by 20% for 4 seconds. It also reduces incoming damage from basic attacks by up to 0.5% of your max health, capped at 40% of the attack's damage.
Still gives you nice waveclear and it also gives a nice amount of HP and 30 AD, and on top of that you get AD equal to 2% of you bonus health. Your basic attacks also deal additional physical damage to the target and to enemies behind the target, and the on-hit damage also applies on structures which helps you push faster. It has no active anymore though, so no auto reset.
Blade of the ruined king
This item is still decent vs high hp enemies. It gives AD, attack speed and lifesteal, and 10% target's current health damage as physical damage for melee's. It's active effect is now moved to it's passive. After basic attacking a champion 3 times it deals magic damage and steals 25% of their movement speed for 2 seconds. The problem I find with this item is that you are very squishy if you rush it, and before you finish it, you aren't going to be that strong.
I like to build this item in combination with Divine Sunderer since the item lacks attack speed. This item brings attack speed, but also movespeed on-hit and extra damage for your auto attacks. Also you get a good amount of magic resistance which is nice. This item feels definitely underrated currently for how good it is.
Frozen Heart is a really undervalued item. It's really cheap and it gives good stats like mana that Jax has issues with if you have to stay on the map for extended periods or long fights, armor which is always nice to have vs physical damage, and also Ability Haste. On top of that it gives you damage reduction vs basic attacks and slows nearby enemies attack speed by 20% which can be really huge. Great item to pickup vs a lot of physical damage, especially if you find yourself needing more mana.
His passive gives him more attack speed and he can take turrets down pretty fast after he get's Sheen. You just auto-attack and right as the attack has landed you use Empower for the auto attack reset and at the same time you get a Sheen proc. Also having Titanic Hydra or Ravenous Hydra helps splitpushing as your waveclear is improved by those items.
Jax is also a strong splitpusher since he can duel pretty much anyone in the later points of the game and if you are ahead splitpushing is a great way of giving the enemy team pressure around the map.
Also thanks to his mobility with Leap Strike, Jax can escape sticky situations with his ward hop mechanic which makes him somewhat slippery as he can jump over walls.
When to splitpush?
When splitpushing you are essentially leaving your team 4v5, so your team needs to be aware of what you are doing. The idea of splitpushing is to either attract attention to you, so the opponents send 1-2 or more champions to deal with you which leaves your team free to take objectives with the overpower they have. The other case is that the enemy leave you unnoticed and try to take down your team, in which case your team needs to be aware of the risk and back off before it's too late. When this happens you push the lane you are splitting as hard as you can as you can get surprisingly fast multiple towers down from a lane.
When splitpushing vision is a really important thing. Try to have vision around the area you are pushing so you know when to back off if the opponents try to gank you from the fog of war. Also keep an eye on the minimap to see how many of your opponents are visible, and where they are. Think of who you can solokill and who you can't, who you can possibly 1v2 etc.
If you have Teleport while splitpushing you can also consider Teleporting into teamfights. If your team can hold on the fight while your TP is channeling you can win the teamfight with the element of surprise if the opponents first thought it will be a 5v4 fight for them. Before you tp consider which option gives your team the most advantage. If the fight is already lost pretty hard, push as much as you can and back, remember to keep vision on objectives like Baron Nashor and Dragon depending on the lane you are pushing since if the opponents kill your team they are likely to do one of these objectives if possible.
When you reach 6 a common thing to do is auto minions twice, then Leap Strike on to your opponent, auto them and immediatly follow with Empower. This combo will do good amount of damage as your Grandmaster's Might 3rd proc + Empower do quite a lot of damage in a short burst.
You can also cancel your autoattack animation with your Counter Strike. When you have activated Counter Strike and you have autoattacked, right as the damage from your autoattack lands re-activate Counter Strike and this will cancel the rest of your autoattack. This is very useful if you want to do a fast combo with your W and Titanic Hydra for example.
Ward hopping and trinket choice
Sometimes after top laners and others switch to either Farsight Alteration or Oracle Lens but not on Jax. On Jax you keep Stealth Ward so you can ward hop and potentially escape from tough spots. It's extremely useful when splitpushing and there are multiple enemies coming at you you just wardhop over a wall.
You should also note you can use your Leap Strike on things like Jarvan IV flag, Thresh lantern and so on.
Jax is extremely good champion at taking advantage of an lead and carrying your team to victory! He can be difficult to play against comps with lots of heavy CC but even that can't stop the Grandmaster at arms in some cases.
Any feedback on this guide is highly appreciated, I will be updating this constantly whenever there is something to update or new ways of playing Jax are discovered
Have a great time splitpushing and smashing enemies as Jax!
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Thank you to @Jovy for the awesome banners made for this guide!
Also some of the code used in the making of this guide is from http://www.mobafire.com/league-of-legends/build/making-a-guide-101506#chapter11 @jhoijhoi