I have a half moon next to my time when phone is unlocked

It is the new feature "do not disturb" go into settings - do not disturb - turn off.

Your welcome.

Thank you razmee209! I couldn't figure out how/why I was missing my phone calls and texts!!

No problem.

Hi, it mean Do Not Distrub we use that to silence calls, notifications, and alerts. Here all options for it:

http://iphonphone.blogspot.nl/2013/12/ios-7-tips-moon-symbol-on-iphone.html

more than a year old post and it already has been solved...Why are you repying to it?

Thank you for your help from an old Alzheimer's senior citizen

I can now receive phone calls and texts

Thought I was going to have to buy a carrier pigeon!!