Question

question
the graph of $y = f(x)$ is shown below. which point could be used to find $f(3)$?

answer
\\(\circ\\) $b$ \\(\circ\\) $a$
\\(\circ\\) $d$ \\(\circ\\) $c$

Explanation:

Step1: Recall function notation

To find \( f(3) \), we need the point on the graph of \( y = f(x) \) where the \( x \)-coordinate is 3. The \( x \)-coordinate of a point \((x, y)\) on the graph of \( y = f(x) \) gives the input, and the \( y \)-coordinate gives \( f(x) \).

Step2: Identify the point with \( x = 3 \)

Looking at the graph, we check the \( x \)-coordinates of the points:

• Point B: \( x \) is negative (around -3 or -4), so not \( x = 3 \).
• Point A: \( x \) is negative (around -2), so not \( x = 3 \).
• Point D: \( x \) is negative (around -1), so not \( x = 3 \).
• Point C: The \( x \)-coordinate is 3 (since it's at \( x = 3 \) on the \( x \)-axis), so this point has \( x = 3 \), and its \( y \)-coordinate will be \( f(3) \).

Answer:

C