find the open interval(s) where the following function is increasing, decreasing, or constant. express your…

find the open interval(s) where the following function is increasing, decreasing, or constant. express your answer in interval notation. answer selecting an option will display any text boxes needed to complete your answer. increasing on one interval decreasing on one interval constant on one interval

find the open interval(s) where the following function is increasing, decreasing, or constant. express your answer in interval notation. answer selecting an option will display any text boxes needed to complete your answer. increasing on one interval decreasing on one interval constant on one interval

Answer

Explanation:

Step1: Recall function behavior rules

A function is increasing when the graph rises from left - to - right, decreasing when it falls from left - to - right, and constant when it is a horizontal line.

Step2: Analyze the given graph

By observing the graph, we can see that the function falls from left - to - right on the interval $(-\infty, 2)$ and rises from left - to - right on the interval $(2,\infty)$. There are no horizontal parts, so the function is not constant on any interval.

Answer:

Decreasing on $(-\infty, 2)$; Increasing on $(2,\infty)$