Question

the graph of y = f(x) is shown below. what are all of the real solutions of f(x) = 0? answer attempt 1 out of 2 additional solution no solution x = submit answer

Explanation:

Step1: Recall the definition of roots

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

Step2: Identify x - intercepts from the graph

Looking at the given graph of \( y=f(x) \), we can see that the graph crosses the x - axis at three points.

• The first intersection point is at \( x = 0 \) (where the graph passes through the origin).
• The second intersection point is at \( x=5 \) (the graph crosses the x - axis at \( x = 5 \)).
• The third intersection point is at \( x = 8 \) (the graph crosses the x - axis at \( x=8 \)).

So the real solutions of \( f(x)=0 \) are \( x = 0 \), \( x = 5 \) and \( x = 8 \).

Answer:

\( x = 0 \), \( x = 5 \), \( x = 8 \)