Question

determine the intervals on which the function is increasing, decreasing, and constant. list the interval(s) on which the function is increasing (-oo - 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 (-2,-1) (type your answer in interval notation. use a comma to separate answers as needed.)

Explanation:

Step1: Recall function behavior rules

A function is increasing when the graph goes up from left - to - right and decreasing when it goes down from left - to - right.

Step2: Analyze the given graph

By observing the graph, we identify the intervals where the function is increasing and decreasing. The increasing intervals are where the y - values of the function are getting larger as x increases. The decreasing intervals are where the y - values are getting smaller as x increases.

Step3: Write the intervals in correct notation

For increasing intervals, we have $(-\infty,-7)$ and $(-2, - 1)$. For decreasing intervals, we have $(-7,-2)$.

Answer:

Increasing intervals: $(-\infty,-7),(-2, - 1)$
Decreasing intervals: $(-7,-2)$