# Show that the function $$f(x) = |x+2 |$$ is continuous at every $$x \in R$$ but fails to be differentiable at x = -2.

• If $f$ is a real function on a subset of the real numbers and $c$ a point in the domain of $f$, then $f$ is continous at $c$ if $\lim\limits_{x\to c} f(x) = f(c)$.
• Every polynomial function $f(x)$ is continuous.
$f(x)=\mid x+2\mid$