use the graph to determine\na. open intervals on which the function is increasing, if any.\nb. open…

use the graph to determine\na. open intervals on which the function is increasing, if any.\nb. open intervals on which the function is decreasing, if any.\nc. open intervals on which the function is constant, if any.\na. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the function is increasing on the interval(s) (2,∞). (type your answer in interval notation. use a comma to separate answers as needed.)\nb. there is no interval on which the function is increasing.\nb. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the function is decreasing on the interval(s) (-∞,2).

use the graph to determine\na. open intervals on which the function is increasing, if any.\nb. open intervals on which the function is decreasing, if any.\nc. open intervals on which the function is constant, if any.\na. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the function is increasing on the interval(s) (2,∞). (type your answer in interval notation. use a comma to separate answers as needed.)\nb. there is no interval on which the function is increasing.\nb. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the function is decreasing on the interval(s) (-∞,2).

Answer

Explanation:

Step1: Analyze increasing intervals

By observing the graph, as we move from left - to - right, the y - values of the function rise when (x>2). So the increasing interval is ((2,\infty)).

Step2: Analyze decreasing intervals

As we move from left - to - right, the y - values of the function fall when (x < 2). So the decreasing interval is ((-\infty,2)).

Step3: Analyze constant intervals

There are no parts of the graph where the y - values remain the same as (x) changes. So there are no constant intervals.

Answer:

a. A. The function is increasing on the interval(s) ((2,\infty)). b. A. The function is decreasing on the interval(s) ((-\infty,2)). c. B. There is no interval on which the function is constant.