Question

Determine the interval(s) on which the function is (strictly) decreasing. Write your answer as an interval or list of intervals. When writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible.

Answer 1

The function graphed is decreasing on the interval [-3, -2] U [ 2, 5]

How to find the interval

The interval when the graphed function is decreasing, is the points in the x-axis that marks where the line slopes downwards from left to right.

Examining the graph, this happens at two parts. A closer look at he graph shows that, the points marking this decrease are closed circles.

Closed circle means that the value at the point is included

Hence we have [-3, -2] then we have a stable form, before the decrease continues at [ 2, 5]

Answer 2

Step-by-step explanation

Given the graph, we are asked to find the intervals where the function is strictly decreasing, This implies that the intervals where the slope is negative.

From the graph, this occurs at two positions.

This can be seen below.

Answer:

`(-3,2)\cup(2,5)`