determine the intervals on which the function is (a) increasing, (b) decreasing, (c) constant. (a) the…

determine the intervals on which the function is (a) increasing, (b) decreasing, (c) constant. (a) the function is increasing on the interval(s) (use a comma to separate answers as needed. type your answer in interval notation.)

determine the intervals on which the function is (a) increasing, (b) decreasing, (c) constant. (a) the function is increasing on the interval(s) (use a comma to separate answers as needed. type your answer in interval notation.)

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 from left - to - right.

Step2: Analyze the given graph

Looking at the graph, we see that the function rises from $x=-3$ to $x = 1$.

Answer:

$(-3,1)$