Question

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

Explanation:

Step1: Recall function notation

For a function \( y = f(x) \), \( f(-5) \) means we need the \( y \)-value when \( x=-5 \). So we look for the point with \( x \)-coordinate \(-5\).

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

Looking at the graph, point \( C \) has an \( x \)-coordinate of \(-5\) (since it's above \( x = -5 \) on the \( x \)-axis). Points \( A \), \( B \), \( D \) have different \( x \)-coordinates (e.g., \( A \) is around \( x=-3 \), \( B \) around \( x = 2 \), \( D \) around \( x=-1 \)). So the point with \( x=-5 \) is \( C \), which gives \( f(-5) \).

Answer:

C