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Ezreal is a strong carry early-mid game due to the powerful mystic shot and a very strong late game carry due to W and his ridiculous amount of attack speed
Pros
=> Huge attack-speed late game
=> can shut down most carries (mainly early) if played correctly
=> Can escape ganks by blinking away
=> Can blink through the wall between Blue's golems and river
=> Steal neutral camp buffs / Baron /Dragon
=> Heavy poke early-mid game
=> Aoe Buff/debuff
=> Strong burst (consider hitting carry or weak support with ulti first to have less damage reduction on ulti)
=> Ulti has small CD in theory (as long as Ezreal keeps hitting with Q)
=> Secure kills by sniping people down (nothing like karthus ulti)
=> Main spammable ability is a fast projectile. Opposed to Caitlin's/Graves' pokes
=> Can get proper positioning by blinking
=> Check bushes without getting inside, he can also count how many targets are there
=> Ulti reveals the area around it while moving for a very brief time





Cons
=> Hella Squishy
=> Mana starved early on if he is forced to use E a lot
=> His ulti gets decreased damage the more hostile/neutral targets it hit.
=> Can be shut down if not played correctly
=> Falls behind without proper farm
=> Ulti does no damage if the first target has some form of shield such as Kayle's ulti, Sivir shield , Galio shield , Banshee's Veil
=> Small AA range
=> People Consider him and Taric lovers(No comment)
=> Only skillshots

Exhaust: Decreases damage done by the enemy , slows them down. Enemy takes more damage (mastery).If you lane with a support who runs CV exhaust , there is no need for it.I use it when i am against an aggressive duo. Great way to help your jungler gank properly and or secure a kill. Also useful when you start a team fight. exhaust the carry so it will do least damage possible.

====>If i am right, there is diminishing return. Which means, if you use 2exhausts and during the next 18 seconds a third, then the 3rd one will have less effect.

Ignite: Decreases healing received and deals true damage. (Gives you 5 ad 5 ap while its on cd)I tend to get this when the enemy has soraka. Use it when you have gotten the enemy below ~75% as most people will blow their summoner heal, soraka's heal and soraka's ulti.

Flash: Flash's range has been nerfed to reduce passive gameplay, still its great way to escape ganks if you are oom or your blink has cd. You can still flash through the wall from riven to double golems at both sides. I tested on botlane one.

Heal: A lot of people use summoner heal lately as they follow High elo players. I believe that sometimes heal is good, if you lane with a support who has no heal or sustain can sometimes turn a fight if used properly. Healing is reduced by ignite. It also applies a debuff for a time which decrease the healing you through other summoner heals.

Teleport: Great way to keep up with farm or even get in-front of everyone else.A good teleport can counter a gank at top lane/mid and turn the fight around.



Standard Ezreal
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Aggressive
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Defensive AKA very very safe
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Use these when the enemy team has good chase or CC.

Standard

Defensive

Aggressive

Standard
Armor penetration marks. Flat ad quints Manaregen /lvl seals and cdr glyphs.
This ensures you can stay in lane, have damage output mid-late game. Have damage output through mystic shot.
Aggressive
I usually play aggressive ezreal with the proper support. I get flat ad marks, quits and seals. As for glyphs, i get flat cooldown reduction.
This ensures my mystic shot rips the hp of the enemy carry.
Another way is to go Armor penetration marks quits, flat ad seals and CDR glyphs



Defensive
On the other hand, i will get armor seals , armor penetration marks and flat ad quints and if they have a heavy carry and mr glyphs to minimize the possible damage you may receive and keep up with mid game.

Mystic Shot
Ezreal fires a bolt of energy that deals 35 / 55 / 75 / 95 / 115 (+1.0 per attack damage) (+20% of ability power) physical damage and applies on-hit effects. If it strikes an enemy unit it reduces all of Ezreal's cooldowns by 1 second.

Explanation:
This is Ezreal's bread and butter though early until midgame. Its the best way to output damage and getting passive's stacks up. Keep in mind that mystic shot cancels AA, applies on hit effects, reduces ezreals cooldowns (including mystic shot and True barrage) but does NOT affect summoner spell cds.


Essence Flux
Ezreal fires a fluctuating wave of energy at a targeted area. Any enemy champions it passes through take 80 / 130 / 180 / 230 / 280 (+70% of ability power) magic damage and have their attack speed slowed by 20 / 25 / 30 / 35 / 40 % for 5 seconds, while any allied champions it travels through have their attack speed increased by 20 / 25 / 30 / 35 / 40 % for 5 seconds.

Explanation:
This is AD Ezreal's bread and butter lategame. A good essence flux can get you 5 stacks on passive instantly giving you great damage output.
note that you cant use EF and blink to it. This is a great way buff your team and debuff the enemy team.You should also aim EF at enemy carry to reduce his/her dps. A lot of people dont consider EF a useful spell and thus they barely use it and decrease their team's chances to win.



Arcane Shift
Ezreal teleports to a target nearby location and fires a homing arrow at the nearest enemy unit dealing 75 / 125 / 175 / 225 / 275 (+75% of ability power) magic damage.


Explanation: This is why people hate ezreal, portable high range flash. You can blink through walls. You can also blink through the wall between double golems and river. You can pull great kills this way.

For example, Annie is low health, she used her flash and all her spells are in cooldown. She is hiding into the top bush in mid lane. She is in blue team, you are in red. Use essence flux to see how many people are there. You get 1 passive stack so she is alone. You blink with E, hit with Q and if you have to , use ultimate. Bam , she is dead (^.^) .

Note, arcane shift can hit targets in steal mode.




Trueshot Barrage
Ezreal channels for 1 second to fire a powerful barrage of energy missiles, which deal 350 / 500 / 650 (+1.0 per bonus attack damage) (+90% of ability power) magic damage to each enemy unit they pass through. However, it deals 8% less damage for each additional unit it hits (30% minimum damage).


Explanation: True shot barrage is the strongest single target burst spell. You can secure kills, burst people to hell, steal buffs, steal dragons , steal baron nashor buffs.

People underestimate Ezreal because they dont know how strong he can be when he ulti them into the face. A lot of times, i use ulti to kill people who think they are safe and they recall.It is wise to be in direct line of the target. In other words, if you are in base and your target isnt recalling then move to the bush and then use the ulti. You have more chances of hitting the target.




^This is from my pros/cons part. Please do read it.

Another useful this you can do with ezreal is farm/push lanes. When you force the enemy duo out of the lane, push minions to turret. Shoot your ulti to destroy hp of coming minions so the lane is still pushed until you come, and the enemy will lose much xp from turret getting the minions who are stuck there.
Also you can ulti from base to a tower, to prevent people from destroying it.

Standard

• Max first by lvl 9 as it is your mid game damage output.
• [ Max it among with to avoid ganks without losing some great amount of damage output.
• Max it among with to keep up with damage output and help your team with baron/dragon attackspeed buff]
• Get it as soon as it is available, for obvious reasons.

Skill sequence

Aggressive

• Max first by lvl 9 as it is your mid game damage output.
• Max it by lvl 18 to avoid ganks easier. Get 1 point early for utility/escape mechanism
• Max it 2nd , by lvl 13 as it increases your damage output.
• Get it as soon as it is available, for obvious reasons.
  

Aggressive sequence


The sequence varies depending on what you want.
Defensive

• Max first by lvl 9 as it is your mid game damage output.
• Max it by lvl 13 to avoid ganks easier.
• Max it last as its useful late game, but taking 1 point early is useful for its utility.
• Get it as soon as it is available, for obvious reasons.
  

Defensive sequence:

First of all the items and how they help Ezreal.

Boots Boots of Speed is a tier 1 item, can be upgraded to tier 2 boots.
[*] Note that Boots of speed effects dont stack thus, buying more than 1 is useless.

Doran's Blade Doran's blade costs 475 gold same as your starting gold.
Doran's Blade Stacks with it's self as there are no unique passives/actives. Buying Doran's Blade is preferred to B.F Sword as it has sustain from lifesteal, a handy amount of damage (10 damage per blade) and some nice hp pull (80HP). It is suggested not to buy more than 2 as it can be a money sank. If you start with doran's blade once you go back buy another Doran's Blade and Boots as well as some potions.

Ezreal is a really fun champion to play. He is a high skill cap high reward champion. I enjoy playing him. Definitely check him out. You wont regret it.
Thanks for reading my guide, be sure to like it, share it. Post comments , ideas, suggestions.
Thanks ^^.