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

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

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

Answer

Explanation:

Step1: Analyze the graph

The function ( f(x)\leq0 ) when the graph of ( y = f(x) ) is on or below the ( x -)axis.

Step2: Identify the intervals

From the graph, we can see that the graph is on or below the ( x -)axis for ( x\in(-\infty,-6]\cup[-5,3]\cup[7,\infty) )

Answer:

( (-\infty,-6]\cup[-5,3]\cup[7,\infty) )