Answer
$g(-10)=2$
Work Step by Step
RECALL:
$g(a)$ represents the value of the function $g$ when $x=a$.
To find the value of $g(-10)$, look for the point on the graph where $x=-10$.
Notice that from $x=-4$ to the left, the function $g$ is represented by the horizontal line $y=2$.
This means that the value of the function $g$ in the interval $(-\infty, -4]$ is $2$.
Thus, $g(-10)=2$.