Question #c4cd5bcc - SAT Suite Question Bank

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Test
Math

Domain
Advanced Math

Skill
Nonlinear functions

Difficulty
Medium

ID: c4cd5bcc

Modded SAT Question Bank by Abdullah Mallik

In the xy-plane, the y-coordinate of the y-intercept of the graph of the function f is c. Which of the following must be equal to c ?

$f of 0$
$f of 1$
$f of 2$
$f of 3$

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Correct Answer: A

Rationale

Choice A is correct. A y-intercept is the point in the xy-plane where the graph of the function crosses the y-axis, which is where $x equals 0$ . It’s given that the y-coordinate of the y-intercept of the graph of function f is c. It follows that the coordinate pair representing the y-intercept must be $the point with coordinates 0 comma c$ . Therefore, c must equal $f of 0$ .

Choices B, C, and D are incorrect because $f of 1$ , $f of 2$ , and $f of 3$ would represent the y-value of the coordinate where $x equals 1$ , $x equals 2$ , and $x equals 3$ , respectively.

Question Difficulty: Medium

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