SAT Math Multiple Choice Question 916: Answer and Explanation

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Question: 916


The complete graph of the function h is shown in the xy plane above. For what value of x is the value of h(x) at its maximum?

  • A. 5
  • B. 6
  • C. 8
  • D. 10

Correct Answer: B



Difficulty: Medium

Category: Passport to Advanced Math / Functions

Strategic Advice: The maximum of a function is the point at which the range (the y-values) of the function is at its highest. Identify that point on the graph, and then determine the corresponding x-value. Pay careful attention to the axis labels-they are not given in increments of 1.

Getting to the Answer: The maximum value of h(x) (the highest point h reaches on the graph) is 8. Drop down from the maximum to the x-axis to find that the corresponding x-value is 6, which matches (B).

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