Question

the graph of $y = f(x)$ is shown below. determine the value of $x$ when $f(x) = -5$.
answer attempt 1 out of 2
-3
1
0
-9
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Explanation:

Step1: Recall function notation

In \( y = f(x) \), \( f(x) \) represents the \( y \)-value corresponding to the \( x \)-value. We need to find \( x \) when \( f(x)=-5 \), so we look for the point on the graph where \( y = -5 \).

Step2: Identify the point with \( y=-5 \)

Looking at the graph, the point \( B \) has a \( y \)-coordinate of \( -5 \). Checking its \( x \)-coordinate, we see it lies on the \( y \)-axis (where \( x = 0 \))? Wait, no, wait. Wait, the point \( B \) is at \( (0, -5) \)? Wait, let's check the grid. The \( y \)-axis is \( x = 0 \). The point with \( y=-5 \) is at \( x = 0 \)? Wait, no, looking at the graph, the point \( B \) is on the \( y \)-axis (since it's along the vertical line \( x = 0 \)) with \( y=-5 \). So when \( f(x)=-5 \), \( x = 0 \).

Answer:

0 (corresponding to the option "0")