Question

Determine the intervals on which the function is increasing, decreasing, and constant.

A) Increasing on (- 5, - 3) and (2, 5) Decreasing on (- 3, 0) Constant on (0, 2) B) Increasing on (- 3, - 1) Decreasing on (- 5, - 2) and (2, 4) Constant on (- 1, 2) C) Increasing on (- 3, 1) ; Decreasing on (- 5, - 3) and (0, 5) ; Constant on (1, 2) D ) Increasing on (- 3, 0) Decreasing on (- 5, - 3) and (2, 5); Constant on (0, 2)

Answer 1

The answer is D

Explanation:

Check to see when the graph is increasing and decreasing from left to right.

It is decreasing from x = -5 to x = -3 or (-5,-3) These look like a points but are not. They are intervals.

Then, it increases from x = -3 to x = 0 or (-3,0)

Then, it stays constant from x = 0 to x = 2 or (0,2)

Lastly, it decreases from x - 2 to x = 5 or (2,5)

To summarize, the graph is increasing from (-3,0). Decreasing on (-5,-3) and (2,5). and constant on (0,2)

The only option that fits these conditions is D.