Question

drag the correct answer into each blank below. not all answer choices will be used. refer to the graph below. on the interval -2 < x < 1, the function is. on the interval -5 < x < -2, the function is. on the interval 3 < x < 3, there is a relative. maximum minimum increasing decreasing constant

Explanation:

Step1: Analyze - 2 < x < 1

As x - values increase from - 2 to 1, the y - values of the function also increase. So the function is increasing on this interval.

Step2: Analyze - 5 < x < - 2

As x - values increase from - 5 to - 2, the y - values of the function decrease. So the function is decreasing on this interval.

Step3: Analyze 3 < x < 3

This interval is not well - defined as 3<x<3 has no real values of x. Assuming it's a typo and you mean something like - 3 < x < 3. In the given graph, in a valid sub - interval of this range (for example near x = 0), the function has a relative maximum where the function changes from increasing to decreasing.

Answer:

On the interval - 2 < x < 1, the function is increasing.
On the interval - 5 < x < - 2, the function is decreasing.
On the interval (assuming a valid range like - 3 < x < 3) there is a relative maximum.