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

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

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

Answer

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 crosses or touches the ( x )-axis (( y = 0 )).

Step2: Identify the x-intercept

Looking at the graph, we observe that the line ( y = f(x) ) intersects the ( x )-axis at ( x = -9 ) (since the point of intersection with the ( x )-axis has an ( x )-coordinate of -9 and ( y )-coordinate of 0).

Answer:

( x = -9 )