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: Understand the problem

We need to find the real solutions of \( f(x) = 0 \). Geometrically, this means finding the \( x \)-intercepts of the graph of \( y = f(x) \), i.e., the values of \( x \) where the graph crosses or touches the \( x \)-axis.

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

Looking at the given graph of \( y = f(x) \), we observe the points where the graph intersects the \( x \)-axis (where \( y = 0 \)). From the graph, we can see that the graph crosses the \( x \)-axis at \( x = 1 \), \( x = 4 \), and \( x = 6 \). These are the values of \( x \) for which \( f(x) = 0 \).

Answer:

\( x = 1 \), \( x = 4 \), \( x = 6 \)