Question

list the interval(s) on which ( f ) is decreasing.

the interval(s) on which ( f ) is decreasing is/are
(type your answer in interval notation. use a comma to separate
answers as needed.)

Explanation:

Step1: Recall the definition of a decreasing function

A function \(y = f(x)\) is decreasing on an interval if for any two points \(x_1\) and \(x_2\) in the interval with \(x_1

Step2: Analyze the graph

Looking at the graph:

• From \(x=-1\) to \(x = 1\), as \(x\) increases, \(y\) decreases.
• From \(x = 4\) to \(x=6\), as \(x\) increases, \(y\) decreases.

Answer:

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