Question

the graph of y = f(x) is shown below. what are all of the real solutions of f(x) = 0? answer z =

Explanation:

Step1: Understand the problem

We need to find the real solutions of \( f(x)=0 \), which are the x - intercepts of the graph of \( y = f(x) \) (the points where the graph crosses the x - axis, i.e., where \( y = 0 \)).

Step2: Identify x - intercepts from the graph

Looking at the graph of \( y=f(x) \):

• The graph crosses the x - axis at \( x=- 5 \), because when \( x = - 5 \), the value of \( y=f(x) \) is 0.
• The graph also crosses the x - axis at \( x = 0 \), since at \( x = 0 \), \( y=f(0)=0 \).
• Additionally, the graph crosses the x - axis at \( x = 5 \), as at \( x = 5 \), \( y=f(5)=0 \).

Answer:

\( x = -5, x = 0, x = 5 \)