SAT Math Multiple Choice Question 920: Answer and Explanation

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Question: 920


The complete graph of the function f is shown in the xy plane above. Which of the following is/are equal to –2?

I. f(–1)

II. f(0)


  • A. I only
  • B. II only
  • C. II and III only
  • D. I, II, and III

Correct Answer: C



Difficulty: Medium

Category: Passport to Advanced Math / Functions

Strategic Advice: When a function is graphed on a coordinate plane, the points take on the form (x, f(x)), so f(x) is just another way of saying y.

Getting to the Answer: Read the graph to find the y-coordinates that correspond to the given x-coordinates (the numbers inside the parentheses) in I, II, and III. The points on the graph of f with x-coordinates -1, 0, and (or 3.5) are (-1, - 1.5), (0,-2), and (3.5, -2). Therefore, of the values given, only 0 (II) and (III) are equal to -2, making (C) correct.

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