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 \(x=-2\) to \(x = 0\), as \(x\) increases, \(y\) decreases.
• From \(x = 2\) to \(x=3\), as \(x\) increases, \(y\) decreases.
• From \(x=6\) to \(x = 8\), as \(x\) increases, \(y\) decreases.

In interval notation, the intervals are \((-2,0)\), \((2,3)\), and \((6,8)\)

Answer:

\((-2,0),(2,3),(6,8)\)