use interval notation to write the interval(s) over which f is (a) increasing, (b) decreasing, and (c)…

use interval notation to write the interval(s) over which f is (a) increasing, (b) decreasing, and (c) constant. if there is more than one interval, separate them with commas.

use interval notation to write the interval(s) over which f is (a) increasing, (b) decreasing, and (c) constant. if there is more than one interval, separate them with commas.

Answer

Explanation:

Step1: Identify increasing interval

An increasing function has a positive - slope. Looking at the graph, the function is increasing when (x\in[-4, - 1]) and (x\in[2,5]).

Step2: Identify decreasing interval

A decreasing function has a negative - slope. There is no part of the graph where the function is decreasing.

Step3: Identify constant interval

A constant function has a slope of 0. The function is constant when (x\in[-1,2]).

Answer:

(a) ([-4,-1],[2,5]) (b) None (c) ([-1,2])