use the graph to determine (a) intervals on which the function is increasing, if any. (b) intervals on which…

Explanation:

Step1: Identify increasing intervals

A function is increasing when the graph goes up as we move from left - to - right. Looking at the graph, the function is increasing on the intervals $(-6,-4)$ and $(-2,0)$.

Step2: Identify decreasing intervals

A function is decreasing when the graph goes down as we move from left - to - right. The function is decreasing on the intervals $(-4,-2)$ and $(0,2)$.

Step3: Identify constant intervals

A function is constant when the $y$ - values do not change as the $x$ - values change. There are no such intervals on this graph.

Answer:

(a) $(-6,-4)$ and $(-2,0)$ (b) $(-4,-2)$ and $(0,2)$ (c) None