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.
click on
one\ if applicable.

Explanation:

Step1: Recall the definition of a decreasing function

A function \(y = f(x)\) is decreasing on an interval \(I\) if for any \(x_1,x_2\in I\) with \(x_1

Step2: Analyze the graph

Looking at the graph, we observe the part of the graph where as \(x\) increases (moves from left - to - right), the \(y\) - value of the function decreases.
We check the \(x\) - values for this behavior. The \(x\) - values start at \(x=-3\) and end at \(x = - 2\) for the decreasing part of the graph.

So, the function is decreasing on the interval \([-3,-2]\).

Answer:

$[-3,-2]$