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Nonlinear Functions

SAT Math· difficulty 2/5

Which function is even?

  • A

    f(x)=x3f(x) = x^3

  • B

    f(x)=xf(x) = x

  • C

    f(x)=2x+1f(x) = 2x + 1

  • D

    f(x)=x2f(x) = x^2

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Explanation

An even function satisfies f(−x)=f(x)f(-x) = f(x). For f(x)=x2f(x) = x^2: f(−x)=(−x)2=x2=f(x)f(-x) = (-x)^2 = x^2 = f(x).

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