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Nonlinear Functions

SAT Math· difficulty 4/5

The graph of an even function ff passes through (2,5)(2, 5). Through which other point must the graph pass?

  • A

    (−2,−5)(-2, -5)

  • B

    (5,2)(5, 2)

  • C

    (2,−5)(2, -5)

  • D

    (−2,5)(-2, 5)

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Explanation

For an even function, f(−x)=f(x)f(-x) = f(x), so f(−2)=f(2)=5f(-2) = f(2) = 5, meaning (−2,5)(-2, 5) is on the graph.

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