Abilities

This passive allows Ezreal to gain 10% attack speed for 6 seconds after hitting a target with his abilities

Ezreal fires a bolt of energy that deals 15/40/65/90/115 (+1.1 per attack damage) (+40% of ability power) physical damage and applies on hit effects. If it strikes an enemy unit it reduces all of Ezreal's cooldowns by 1.5 seconds

Ezreal fires a flactuating wave of energy at a targeted area. Any enemy champions it passes through take 70/115/160/205/250 (+80% of ability power) magic damage, while any allied champions [including Ezreal] it travels through have their attack speed increased by 20/25/30/35/40% for 5 seconds.
E:Arcane Shift

Ezreal teleports to a target nearby location and fires a homing arrow at the nearest enemy unit dealing 80/130/180/230/280 (+75% of ability power) (+0.5 per bonus attack damage) magic damage.
R: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 it passes through. However, it deals 10% less damage for each additional unit it hits. (minimum 30% damage)

Some Gameplay Tips

1. If your opponent laner is harassing you harder than you are harassing them, just play safe and try to get farms with your Mystic Shot so you won't die, trying to last hit that one minion.
2. Use your Trueshot Barrage to wave clear too! Your Mystic Shot will give you enough cooldown reduction if you hit your shots.
3. When you see that juicy 100hp Annie's booty don't just jump on her because she may be baiting you to a 5v1 (don't be Piper Perri, my dudes) which will result on you dying.
4. Try to ward often, it is your job too to, ward the brushes or gank paths this way the weight of your warding will be split so your support will be able to ward other brushes.
5. Ping when your laners aren't on bot lane! Are they maybe doing drake? Who knows if you don't ping it! This way you can also make your teammates start skirmishes or even team fights, just don't spam "missing enemy" though.
6. When team fighting, make sure your positioning isn't too far from the fight or too close to the fight, otherwise you'll get dived by a bruiser or an assassin.
7. Don't be afraid to use your Trueshot Barrage on drakes or Baron Nashor because you can never know if you will fail if you don't try it!
8. Never Arcane Shift offensively if you don't have any informative wards or at least 1 teammate alongside you.