determine all intervals on which the graph of f is increasing. answer attempt 1 out of 2 additional solution…

determine all intervals on which the graph of f is increasing. answer attempt 1 out of 2 additional solution no solution submit answer ∅ or ∪ ∞ < > ≤ ≥ , ,) (, (,) all real num

determine all intervals on which the graph of f is increasing. answer attempt 1 out of 2 additional solution no solution submit answer ∅ or ∪ ∞ < > ≤ ≥ , ,) (, (,) all real num

Answer

Explanation:

Step1: Recall increasing - function property

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 $f(x_1)<f(x_2)$. Graphically, the function is increasing when the graph is rising from left - to - right.

Step2: Identify intervals from the graph

Looking at the graph of $y = f(x)$, we see that the graph is rising on the intervals $(-6,-2)$ and $(5,7)$.

Answer:

$(-6,-2)\cup(5,7)$