Question

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

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

Step2: Analyze the graph

Looking at the graph of \(y = f(x)\), we observe the intervals where the graph is rising.
We see that the function is increasing on the intervals \((-8,-3)\) and \((5,8)\).

Answer:

\((-8,-3)\) and \((5,8)\)