Question

the graph of $y = f(x)$ is shown below. determine the value of $x$ when $f(x) = -4$. answer \\(\circ\\ 4\\) \\(\circ\\ 2\\) \\(\circ\\ -4\\) \\(\circ\\ -1\\)

Explanation:

Step1: Recall the definition of a function's graph

In the graph of \( y = f(x) \), each point \((x, y)\) on the graph satisfies \( y = f(x) \). So we need to find the \( x \)-coordinate of the point where the \( y \)-coordinate (i.e., \( f(x) \)) is \(-4\).

Step2: Identify the point with \( y = -4 \)

Looking at the graph, the point \( D \) has a \( y \)-coordinate of \(-4\). Now we check its \( x \)-coordinate. From the grid, the \( x \)-coordinate of point \( D \) is \( 2 \). So when \( f(x) = -4 \), \( x = 2 \).

Answer:

\( 2 \) (corresponding to the option: 2)