Power button on iPhone 5 stopped working?

I got the iPhone 5 for christmas this past year and since I got it the power button wouldn't work unless i pushed it down on the left side only. But now the other day it completely stopped working altogether. If i take it in to apple, will they give me a new one for free? Or am i gonna have to pay for repairs?
I don't wanna go in and not have my phone backed up on my computer if they decide to give me a new one.

Youll have to get if fixed

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