question 18 (5 points) determine the intervals on which the function is increasing, decreasing, and constant.

Explanation:

Step1: Recall function behavior rules

If the graph goes up as we move from left - to - right, the function is increasing. If it goes down, it is decreasing. If it is a horizontal line, it is constant.

Step2: Analyze left - hand side of graph

For (x\in(-\infty,-3)), as (x) increases, (y) decreases. So the function is decreasing on the interval ((-\infty,-3)).

Step3: Analyze middle part of graph

For (x\in(-3,2)), (y = - 1) (a horizontal line). So the function is constant on the interval ((-3,2)).

Step4: Analyze right - hand side of graph

For (x\in(2,\infty)), as (x) increases, (y) decreases. So the function is decreasing on the interval ((2,\infty)).

Answer:

Increasing: None; Decreasing: ((-\infty,-3)\cup(2,\infty)); Constant: ((-3,2))