Question

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

Explanation:

Step1: Recall increasing - graph property

A function \(y = f(x)\) is increasing on an interval if, as \(x\) increases, \(y\) also increases. Visually, the graph of the function rises from left - to - right.

Step2: Identify intervals from the graph

Looking at the given graph of \(y = f(x)\), we can see that the graph is rising on the intervals \((-8,-4)\) and \((0,6)\).

Answer:

\((-8,-4)\cup(0,6)\)