## Precalculus (10th Edition)

The graph of $f(x)=\frac{1}{x}$ is smooth where defined but not continuous at $x=0$. The graph of $g(x)=|x|$ is continuous everywhere but not smooth at $x=0$.
The graph of $f(x)=\frac{1}{x}$ is smooth where defined but not continuous at $x=0$. The graph of $g(x)=|x|$ is continuous everywhere but not smooth at $x=0$.