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: Identify decreasing intervals

A function decreases when as $x$ increases, $y$ decreases.

1. From $x=-10$ to $x=-8$: $y$ falls from $-2$ to $-6$.
2. From $x=0$ to $x=2$: $y$ falls from $8$ to $-2$.
3. From $x=6$ to $x=8$: $y$ falls from $8$ to $-2$.

Step2: Write in interval notation

Use parentheses for open intervals (since endpoints are included in adjacent increasing intervals, we use closed intervals here as the points are defined on the function):
$[-10, -8], [0, 2], [6, 8]$

Answer:

$[-10, -8], [0, 2], [6, 8]$