Determine if the function is even, odd, or neither.
-$$f ( x ) = x ^ { 4 } - 2 x ^ { 2 } + 5$$
A) Odd
B) Neither
C) Even

Name: Determine if the function is even, odd, or neither. -\[f ( x ) = x ^ { 4 } - 2 x ^ { 2 } + 5\] A) Odd B) Neither C) Even
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Question

Quizplus · Accepted Answer

A function is even if $f(-x) = f(x)$ for all $x$ in the domain of $f$. For $f(x) = x^4 - 2x^2 + 5$, substituting $-x$ for $x$ yields $f(-x) = (-x)^4 - 2(-x)^2 + 5 = x^4 - 2x^2 + 5$, which is equal to $f(x)$. Therefore, the function is even.

Determine If the Function Is Even, Odd, or Neither f(x)=x4−2x2+5f ( x ) = x ^ { 4 } - 2 x ^ { 2 } + 5f(x)=x4−2x2+5

Determine If the Function Is Even, Odd, or Neither $f ( x ) = x ^ { 4 } - 2 x ^ { 2 } + 5$