question 10 the function graphed above is: increasing on the interval(s) decreasing on the interval(s)…

Answer:

Increasing on the interval(s): $(-5,-3)\cup(-1,1)$ Decreasing on the interval(s): $(-3,-1)\cup(1,5)$

Explanation:

Step1: Understand increasing - decreasing concept

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

Step2: Analyze the graph

For the given graph, we observe that from $x=-5$ to $x = - 3$, the $y$ - values of the function are increasing. Also from $x=-1$ to $x = 1$, the $y$ - values are increasing.

Step3: Identify decreasing intervals

From $x=-3$ to $x=-1$ and from $x = 1$ to $x=5$, the $y$ - values of the function are decreasing.