SAT Math Multiple Choice Question 333: Answer and Explanation

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Question: 333


The figure above shows the graph of f(x). For which value(s) of x does f(x) equal 0?

  • A. –3 and 3
  • B. –1 and 1
  • C. –1, 1, and 2
  • D. 2 only

Correct Answer: B



Difficulty: Easy

Category: Passport to Advanced Math / Functions

Strategic Advice: When using function notation, f(x) is simply another way of saying y, so this question is asking you to find the value(s) of x for which y = 0, or in other words, where the graph crosses the x-axis. Don't be tempted by the flat parts of the graph-they have a slope of 0, but the function itself does not equal 0 here (it equals -4).

Getting to the Answer: The graph crosses the x-axis at the points (-1, 0) and (1, 0), so the values of x for which f(x) = 0 are -1 and 1.

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