determine the interval(s) on which the function is constant. write your answer as an interval or list of…

determine the interval(s) on which the function is constant. 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. click on \none\ if applicable.

determine the interval(s) on which the function is constant. 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. click on \none\ if applicable.

Answer

Answer:

$[-5,-3],[-1,1]$

Explanation:

Step1: Understand constant - function concept

A function is constant when its $y$ - value does not change as the $x$ - value changes.

Step2: Examine the graph

Look at the $x$ - intervals where the graph is a horizontal line. In the given graph, the function is horizontal (constant) from $x=-5$ to $x = - 3$ and from $x=-1$ to $x = 1$. So the intervals are $[-5,-3]$ and $[-1,1]$.