Answer
Decreasing on $(-\infty,0)$
Increasing on $(0,\infty)$
Work Step by Step
We are given the function:
$g(x)=\dfrac{1}{2}x^2-3$
Graph the function.
From the graph we find:
$g$ is decreasing on $(-\infty,0)$
$g$ is increasing on $(0,\infty)$
Check the result using a table of values:
