Is it true that if you straighten your hair everyday it will fall out? Because you are pulling on your roots?

I can't say that I've heard of this one... you are talking about with a straightener (electrical), right?
I have heard of chemical straighteners causing most of a persons hair to fall out, but not electric ones that are used like curling irons.
Talk to a cosmotologist/hair dresser. They should have a good idea as to whether that would happen or not.

You I was talking about the electrical ones.

That can't be true because for about 2 yrs.maybe more almost every day I used to straighten my hair so if that was true shouldn't I be bald?(im not)
As long as you use the right one it shouldn't be able to damage your hair at all

Just like anything, If you don't have good foundations you will be apt to damage. So yes naturally heat is damaging to your hair. But you can protect your hair with products that can prevent most damage. I suggest good shampoos and conditioners along with heat sealing products along with a good shine serum. Find what product line works for you. Paul Mitchell is a good start.

Look for a silicone based serum made to put on your hair before you straighten it - it will protect your hair from the heat. Without protection, you will damage your hair over time.