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

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

Quizplus · Accepted Answer

The function $f(x) = x^4 - 2x^2 + 2$ is even because it satisfies the condition for even functions, which is $f(x) = f(-x)$. All terms in the function are even powers of $x$, and substituting $-x$ for $x$ results in the same function.

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

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