Question

determine all intervals on which the graph of f is increasing.

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

Step2: Examine the graph

Looking at the graph of \(y = f(x)\), we observe the intervals where the curve is rising as we move from left - to - right.
We see that the function is increasing on the intervals \((-4,-2)\) and \((7,\infty)\).

Answer:

\((-4,-2)\) and \((7,\infty)\)