Nonlinear Functions

SAT Math· difficulty 4/5

For which value of aa is f(x)=x4+ax2+1f(x) = x^4 + ax^2 + 1 even?

  • A

    Any real value of aa

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  • B

    a=0a = 0 only

  • C

    No value of aa

  • D

    a=1a = 1 only

Explanation

Every term has an even power of xx, so f(x)=f(x)f(-x) = f(x) regardless of aa.

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