Question

Determine the intervals on which the function is strictly decreasing. Write your answer as an interval or a list of intervals. When writing a list of intervals make sure to separate it into roll with a comment to use his feet and triples as possible.

Answer 1

Given graph shown a function plotted.

The aim is to determine where the function is strictly decreasing.

The interval where the function is strictly decreasing is given by the union of intervals where the graph is descending from a point.

From the graph, it is clear that the function decreases from

`(-5,3)\text{ to (-2,-4)}`

and again from

`(2,3)\text{ to (6,-1)}`

Therefore, the intervals where the function is strictly decreasing is:

`(-5,-2)\cup(2,6)`