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Nonlinear Functions

SAT Math· difficulty 3/5

Which function is even?

  • A

    f(x)=x4−3x2+1f(x) = x^4 - 3x^2 + 1

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  • B

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

  • C

    f(x)=x3+xf(x) = x^3 + x

  • D

    f(x)=x2+xf(x) = x^2 + x

Explanation

f(x)=x4−3x2+1f(x) = x^4 - 3x^2 + 1 contains only even powers, so f(−x)=f(x)f(-x) = f(x).

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