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

Explanation:

Step1: Identify increasing intervals

As we move from left - to - right on the graph, the function is increasing when the y - values are getting larger. We observe that the function is increasing on the intervals $(-5,-4)$ and $(-2,-1)$.

Step2: Identify decreasing intervals

The function is decreasing when the y - values are getting smaller as we move from left - to - right. Here, the function is decreasing on the intervals $(-6,-5)$ and $(-4,-2)$.

Step3: Identify constant intervals

The function is constant when the y - values do not change as we move from left - to - right. In this graph, there are no intervals where the function is constant.

Answer:

(a) $(-5,-4),(-2,-1)$ (b) $(-6,-5),(-4,-2)$ (c) None