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 p
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 \((a,b)\) if for any two points \(x_1,x_2\in(a,b)\) with \(x_1 < x_2\), we have \(f(x_1)>f(x_2)\).

Step2: Analyze the graph

Looking at the graph:

• From \(x=-7\) to \(x = - 4\), as \(x\) increases, \(y\) decreases.
• From \(x=-3\) to \(x=0\), as \(x\) increases, \(y\) decreases.

Answer:

\([-7,-4],[-3,0]\)