Question

determine all intervals on which $f(x)geq0$.
graph of $f$

Explanation:

Step1: Analyze the graph

The graph of \(y = f(x)\) is above or on the \(x -\)axis (\(y\geq0\)) when the function \(f(x)\geq0\).

Step2: Identify the intervals

From the graph, we see that \(f(x)\geq0\) when \(x\in[-8,-3]\cup[2,8]\)

Answer:

The intervals on which \(f(x)\geq0\) are \([-8,-3]\) and \([2,8]\)