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

Explanation:

Step1: Recall increasing - function definition

A function is increasing on an open interval if, for any two points in the interval, the larger (x) - value corresponds to a larger (y) - value. Looking at the graph, we see the function rises from (x = 2) to (+\infty).

Step2: Recall decreasing - function definition

A function is decreasing on an open interval if, for any two points in the interval, the larger (x) - value corresponds to a smaller (y) - value. The function falls from (-\infty) to (x = 2).

Step3: Recall constant - function definition

A function is constant on an open interval if the (y) - values are the same for all (x) - values in the interval. There are no such intervals in this graph.

Answer:

a. ((2,\infty)) b. ((-\infty,2)) c. None