# Math Help - continuous/differentiable

1. ## continuous/differentiable

Would I be right in saying that the function

$f(x)=\left\{\begin{array}{ccc}1,&\mbox{ if }
{x}=0\\x+1, & \mbox{ if } -2

Is continuous everywhere but not differentiable at x=-2?
Thanks for any help

2. Originally Posted by hmmmm
Is continuous everywhere but not differentiable at x=-2?
Right. Besides:

$f'_+(-2)=1,\;f'_-(-2)=-1$ .

Regards.

Fernando Revilla

3. yeah that is what I looked at, thanks