SAT Math Multiple Choice Question 734: Answer and Explanation

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Question: 734

14. For the function f, f (1) = 4 and f (2) = 13. Which of the following equations could describe f?

  • A. f(x) = x2 + 3
  • B. f(x) = x2 + 9
  • C. f(x) = 2x2 + 2
  • D. f(x) = 3x2 + 1

Correct Answer: D

Explanation:

D

Advanced Mathematics (functions) MEDIUM

(A) f(1) = 12 + 3 = 4; f(2) = 22 + 3 = 7

(B) f(1) = 12 + 9 = 10; f(2) = 22 + 9 = 13

(C) f(1) = 2(1)2 + 2 = 4; f(2) = 2(2)2 + 2 = 10

(D) f (1) = 3(1)2 + 1 = 4; f(2) = 3(2)2 + 1 = 13

The only function that satisfies the two given equations is (D).

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