Question

the graph of y = f(x) is shown below. find all values of x where f(x) = 0.

Explanation:

Step1: Recall the definition of roots

The values of \( x \) where \( f(x) = 0 \) are the x - intercepts of the graph of \( y=f(x) \), i.e., the points where the graph intersects the x - axis (\( y = 0 \)).

Step2: Identify the x - intercepts from the graph

Looking at the given graph, we can see that the graph intersects the x - axis at two points. One intersection point is at \( x=- 4 \) and the other is at \( x = 2 \).

Answer:

\( x=-4,2 \)