SAT Math Multiple Choice Question 922: Answer and Explanation

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Question: 922

6. The figure above shows the graph of h(x) on the interval –6 ≤ x ≤ 6. If h(3) = a, what is the value of h(a)?

  • A. –6
  • B. –5
  • C. 0
  • D. 2

Correct Answer: D



Difficulty: Medium

Category: Passport to Advanced Math / Functions

Strategic Advice: When presented with a function in equation form (here, h(3) = a), 3 is the input (x) and a is the output (y). Use this information and the graph to first find a, and then h(a).

Getting to the Answer: If h(3) = a), then a is the y-coordinate of the point on the graph when x = 3; the point is (3, -5), so a = -5. You're not done yet-you're asked for the value of h(a), or h(-5). Find the point on the graph that has an x-coordinate of -5; the point is (-5, 2), so h(a) = 2.This matches (D).

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