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Advanced Math / Nonlinear functions Difficulty: Medium

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 ?

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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 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 3would represent the y-value of the coordinate where x equals 1, x equals 2, and x equals 3, respectively.