Question

the graph of $y = f(x)$ is shown below. which point could be used to find $f(-5)$?
answer
a
d
c
b

Explanation:

Step1: Recall function notation

For a function \( y = f(x) \), the input is \( x \) and the output is \( y \). To find \( f(-5) \), we need the point on the graph where the \( x \)-coordinate is \( -5 \), because \( f(-5) \) means we evaluate the function at \( x = -5 \), and the corresponding \( y \)-value is \( f(-5) \).

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

Looking at the graph, we check the \( x \)-coordinate of each point:

• Point A: \( x \) - coordinate is not \( -5 \).
• Point B: \( x \) - coordinate is positive (around 2), not \( -5 \).
• Point C: Let's check its \( x \)-coordinate. From the graph, the \( x \)-coordinate of point C is \( -5 \) (since it's on the vertical line \( x = -5 \)).
• Point D: \( x \) - coordinate is around \( -1 \), not \( -5 \).

Answer:

C