Question

the graph of y = f(x) is shown below. what are all of the real solutions of f(x) = 0? answer additional solution no solution x =

Explanation:

Step1: Recall the meaning of \( f(x) = 0 \)

The equation \( f(x)=0 \) represents the \( x \)-intercepts of the graph of \( y = f(x) \), i.e., the points where the graph crosses or touches the \( x \)-axis.

Step2: Identify the \( x \)-intercepts from the graph

Looking at the graph, we can see that the graph intersects (or touches) the \( x \)-axis at \( x = 0 \) (where it passes through the origin) and at \( x = 7 \) (where it touches the \( x \)-axis and then turns upwards). So these are the values of \( x \) for which \( f(x)=0 \).

Answer:

\( x = 0, 7 \)