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 (roots) of the function \( y = f(x) \), i.e., the points where the graph of the function intersects the x - axis (\( y = 0 \)).

Step2: Identify the x - intercepts from the graph

Looking at the given graph of \( y=f(x) \), we can see that the graph intersects the x - axis at \( x = 4 \) and \( x=6 \).

Answer:

The values of \( x \) where \( f(x) = 0 \) are \( x = 4 \) and \( x = 6 \).