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 3 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

By looking at the graph of \( y = f(x) \), we can see that the graph intersects the x - axis at \( x=-8 \), \( x = - 5 \), \( x=-3 \) and \( x = 0 \). So these are the values of \( x \) for which \( f(x)=0 \).

Answer:

\( x = -8, -5, -3, 0 \)