My iPhone 5 has been acting up a lot?

Ok. So It said no network connection when I go to fb or safari when I have my Wi-Fi on. And Wi-Fi been turn off by itself. I got this phone about 1 week ago. It been pissing me off. Why this phone acting weird? It's said no network connection a lot of times. What should I do?

Go to Apple store and get help.

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