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

• Look at the left - hand side of the graph. From \(x=-8\) to \(x = - 6\), as \(x\) increases (moves from left - to - right), \(y=f(x)\) decreases.
• Then, from \(x=-2\) to \(x=0\), as \(x\) increases, \(y = f(x)\) decreases.
• Also, from \(x = 2\) to \(x=4\), as \(x\) increases, \(y=f(x)\) decreases.

In interval notation, the intervals are \([-8,-6]\), \([-2,0]\), and \([2,4]\)

Answer:

\([-8,-6],[-2,0],[2,4]\)