Question

determine all intervals on which $f(x) \leq 0$.

Explanation:

Step1: Analyze the graph

We need to find the intervals where the graph of \(y = f(x)\) is on or below the \(x -\)axis (\(y = 0\)).

Step2: Identify the intervals

Looking at the \(x -\)values:

• For \(x\in[-7,-3]\), the \(y\) - values of the function \(y = f(x)\) satisfy \(y\leq0\).
• For \(x\in[4,8]\), the \(y\) - values of the function \(y = f(x)\) satisfy \(y\leq0\).

Answer:

The intervals on which \(f(x)\leq0\) are \([-7,-3]\) and \([4,8]\).