#### Answer

$g(x)$ is not one-to-one.

#### Work Step by Step

The function $g(x)=|x|$ is not one-to-one because it fails the horizontal line test (the graph has a V-shape). We can show that it has the same $y$ value for two different $x$ values:
$g(1)=|1|=1$
$g(-1)=|-1|=1$
Thus the function is not one-to-one.