To determine the values of \( x \) for which \( f(x) = 0 \), we look for the x-intercepts of the function \( f(x) \) on the given graph. According to your description, the function crosses the x-axis at the points \( (-2, 0) \), \( (1, 0) \), and \( (3, 0) \).
This means that \( f(x) = 0 \) at the following values of \( x \):
- \( x = -2 \)
- \( x = 1 \)
- \( x = 3 \)
The function crosses the y-axis at \( (0, -6) \), which means that when \( x = 0 \), \( f(0) = -6 \), but this is not a solution for \( f(x) = 0 \).
So the only values of \( x \) where \( f(x) = 0 \) are \( -2 \), \( 1 \), and \( 3 \).
Therefore, the correct answer is: –2, 1, or 3 only.