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 strictly decreasing on an interval \(I\) if for any two points \(x_1\) and \(x_2\) in \(I\) with \(x_1

Step2: Analyze the graph

Looking at the graph:

• For the interval \([-6,-4]\), the function is decreasing (as \(x\) increases from \(-6\) to \(-4\), \(y\) decreases).
• For the interval \([-2,1]\), the function is decreasing (as \(x\) increases from \(-2\) to \(1\), \(y\) decreases).

Answer:

\([-6,-4],[-2,1]\)