Question

the graph of $y = f(x)$ is shown below. which point could be used to find $f(1)$? graph of a coordinate plane with points a, b, c, d plotted. answer options: d, a, c, b (with radio buttons) and a submit answer button

Explanation:

Step1: Recall function notation

For a function \( y = f(x) \), \( f(1) \) means the \( y \)-value when \( x = 1 \). So we need the point with \( x \)-coordinate 1.

Step2: Identify the point with \( x = 1 \)

Looking at the graph, point C has an \( x \)-coordinate of 1 (since it's at \( (1, 3) \) approximately, or checking the grid, the \( x \)-value for point C is 1). Points A, B, D have different \( x \)-coordinates (A is at \( x = 0 \), B at \( x = 3 \), D at \( x = -1 \) or similar). So the point with \( x = 1 \) is C.

Answer:

C