# 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*) =*x*^{2}+ 3 - B.
*f*(*x*) =*x*^{2}+ 9 - C.
*f*(*x*) = 2*x*^{2}+ 2 - D.
*f*(*x*) =*3x*^{2}+ 1

**Correct Answer:** D

**Explanation:**

**D**

**Advanced Mathematics (functions) MEDIUM**

(A) *f*(1) = 1^{2} + 3 = 4; *f*(2) = 2^{2} + 3 = 7

(B) *f*(1) = 1^{2} + 9 = 10; *f*(2) = 2^{2} + 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).