Question

the graph of $y = f(x)$ is shown below. determine the value of $x$ when $f(x) = 4$.
(graph description: a coordinate plane with points plotted. one point has y-coordinate 4, others at different positions. answer options: -1, -8, 4, 3)

Explanation:

Step1: Understand the problem

We need to find the \( x \)-value when \( f(x) = 4 \). This means we look for the point on the graph where the \( y \)-coordinate (since \( y = f(x) \)) is 4 and then find the corresponding \( x \)-coordinate.

Step2: Locate \( y = 4 \) on the graph

Looking at the graph, the point with \( y = 4 \) is the black dot labeled (or positioned) at \( x = -1 \) (since moving vertically to \( y = 4 \) and horizontally to the \( x \)-axis, we see the \( x \)-value is -1).

Answer:

\(-1\)