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.\n○ a. the function is increasing on the interval(s) \n(type your answer in interval notation. use a comma to separate answers as needed.)\n○ b. there is no interval on which the function is increasing.

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.\n○ a. the function is increasing on the interval(s) \n(type your answer in interval notation. use a comma to separate answers as needed.)\n○ b. there is no interval on which the function is increasing.

Answer

Explanation:

Step1: Identify increasing intervals

A function is increasing when as (x) increases, (y) also increases. Looking at the graph, the function is increasing from (x=- 4) to (x = - 1).

Step2: Write in interval - notation

The open - interval notation for this is ((-4,-1)).

Step3: Identify decreasing intervals

A function is decreasing when as (x) increases, (y) decreases. The function is decreasing from (x=-1) to (x = 2).

Step4: Write in interval - notation

The open - interval notation for this is ((-1,2)).

Step5: Identify constant intervals

A function is constant when as (x) changes, (y) remains the same. There are no such intervals in the given graph.

Answer:

a. A. The function is increasing on the interval(s) ((-4,-1)) b. A. The function is decreasing on the interval(s) ((-1,2)) c. B. There is no interval on which the function is constant.