determine the intervals on which the function is (a) increasing; (b) decreasing; (c) constant. (a) the…

determine the intervals on which the function is (a) increasing; (b) decreasing; (c) constant. (a) the function is increasing on the interval(s) (-4, 1). (use a comma to separate answers as needed. type your answer in interval notation.)

determine the intervals on which the function is (a) increasing; (b) decreasing; (c) constant. (a) the function is increasing on the interval(s) (-4, 1). (use a comma to separate answers as needed. type your answer in interval notation.)

Answer

Explanation:

Step1: Understand increasing - function concept

A function is increasing when as (x) increases, (y) also increases. Looking at the graph, we see the (y) - values rise as (x) goes from - 4 to 1.

Step2: Determine decreasing intervals

A function is decreasing when as (x) increases, (y) decreases. From the graph, the function is decreasing on the interval ((3,5)).

Step3: Determine constant intervals

A function is constant when (y) does not change as (x) changes. The function is constant on the interval ((1,3)).

Answer:

(a) ((-4,1)) (b) ((3,5)) (c) ((1,3))