Question

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

Explanation:

Step1: Recall decreasing - function property

A function \(y = f(x)\) is decreasing when the graph goes down as we move from left - to - right.

Step2: Observe the graph

By looking at the given graph of \(y = f(x)\), we identify the intervals where the curve is sloping downwards.

Step3: Determine the intervals

We see that the graph is decreasing on the intervals \((-7,-4)\) and \((6,9)\).

Answer:

\((-7,-4)\) and \((6,9)\)