determine the interval(s) on which the function is (strictly) increasing. write your answer as an interval…

determine the interval(s) on which the function is (strictly) increasing. write your answer as an interval or list of intervals. when writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible. click on \none\ if applicable.

determine the interval(s) on which the function is (strictly) increasing. write your answer as an interval or list of intervals. when writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible. click on \none\ if applicable.

Answer

Explanation:

Step1: Recall increasing - function definition

A function $y = f(x)$ is increasing on an interval if for any two points $x_1$ and $x_2$ in the interval with $x_1<x_2$, we have $f(x_1)<f(x_2)$. Visually, the graph of the function rises as we move from left - to - right.

Step2: Analyze the given graph

Looking at the graph, we see that the function is rising from $x=-5$ to $x = - 1$. Also, it is rising from $x = 4$ to $x=5$.

Answer:

$(-5,-1),(4,5)$