# SAT Math Multiple Choice Practice Question 559: Answer and Explanation

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**Question: 559**

**16.** If *f* (*x*) = , what is the smallest possible value of *f* (*x*) ?

A. There is no such value.

B. 0

C.

D. 1

E. 2

**Correct Answer:** B

**Explanation:**

**B** On this question you can use Plugging In The Answers. The numbers in the answer choices replace the *f*(*x*) portion of the equation, so you can just write out the rest of it, , next to each to see if it can be true. Starting with C, if , then = 3*x* – 2, and *x* = . Since C works, eliminate A—we know it's not true. You can also eliminate D and E because we are looking for the smallest number that works for *f*(*x*). Now let's try B: If 0 = , then 0 = 3*x* – 2, and *x* = . is bigger than , so cross out C. B is correct.