Question

at what values of x, does f(x) = 0? check all that apply.
options: 1, -4, -2, 3, 8, 0

Explanation:

Step1: Understand the problem

We need to find the \(x -\)values where the function \(y = f(x)\) intersects the \(x -\)axis. The \(x -\)axis is the line \(y = 0\). So, we are looking for the \(x -\)coordinates of the points where the graph of \(y=f(x)\) crosses the \(x -\)axis.

Step2: Analyze the graph

Looking at the graph, we can observe the points of intersection with the \(x -\)axis. Each intersection point has a \(y -\)coordinate of \(0\). By visual inspection of the graph (assuming standard grid - based graph where each unit is consistent), we can identify the \(x -\)values.

Step3: Determine the \(x -\)values

From the graph, we can see that the function \(y = f(x)\) intersects the \(x -\)axis at \(x=-4\) and \(x = 3\).

Answer:

\(-4\), \(3\)