Question in-the
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 ?
In the xy -plane, the y -coordinate of the y -intercept of the graph of the
Medium-difficulty · SAT Math · Nonlinear Functions — Function composition and evaluation. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
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 
. 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 
. Therefore, c must equal .
Choices B, C, and D are incorrect because , , and would represent the y-value of the coordinate where 
, 
, and 
, respectively.
More Nonlinear Functions practice questions
- f x = 4 x 2 - 50 x + 126 The given equation
- The function p is defined by p n = 7 n 3 . What
- The parabola opens downward. The vertex is at point (4 comma 9). The parabola
- f x = x + 7 2 + 4 The function f is defined
- The function f w = 6 w 2 gives the area of a rectangle,
- The exponential function g is defined by g x = 19 · a x
- In quadrant 3, the curve rises to its maximum at point (0 comma negative
- q ( x ) = 32 ( 2 x ) Which table gives three
Browse all Passport to Advanced Math practice questions or return to the full SAT question bank.