Question

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

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 given graph

Looking at the graph of \(y = f(x)\), we observe the intervals where the graph is rising.
We see that the graph is rising on the intervals \((-2,1)\) and \((4,6)\).

Answer:

The function \(f\) is increasing on the intervals \((-2,1)\) and \((4,6)\).