Questions: Determine the intervals on which the function is increasing, decreasing, and constant. List the interval(s) on which the function is increasing. (-∞,-7),(-2,-1) (Type your answer in interval notation. Use a comma to separate answers as needed.) List the interval(s) on which the function is decreasing. (Type your answer in interval notation. Use a comma to separate answers as needed.)

Determine the intervals on which the function is increasing, decreasing, and constant.

List the interval(s) on which the function is increasing.
(-∞,-7),(-2,-1)
(Type your answer in interval notation. Use a comma to separate answers as needed.)
List the interval(s) on which the function is decreasing.
(Type your answer in interval notation. Use a comma to separate answers as needed.)

Transcript text: Determine the intervals on which the function is increasing, decreasing, and constant. List the interval(s) on which the function is increasing. \[ (-\infty,-7),(-2,-1) \] (Type your answer in interval notation. Use a comma to separate answers as needed.) List the interval(s) on which the function is decreasing. $\square$ (Type your answer in interval notation. Use a comma to separate answers as needed.)

Solution

Solution Steps

Step 1: Identify the intervals where the function is increasing

From the graph, observe where the function is moving upwards as you move from left to right.
The function is increasing on the intervals $(-7, -2)$ and $(-1, \infty)$.

Step 2: Identify the intervals where the function is decreasing

From the graph, observe where the function is moving downwards as you move from left to right.
The function is decreasing on the intervals $(- \infty, -7)$ and $(-2, -1)$.