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

Question

Quizplus · Accepted Answer

The function $f(x) = 2x^2 + x^4$ is even because it satisfies the condition for even functions, $f(x) = f(-x)$. Both terms, $2x^2$ and $x^4$, are even powers of $x$, which means their values do not change when $x$ is replaced with $-x$.

Determine Whether the Function Is an Even Function, an Odd f(x)=2x2+x4f ( x ) = 2 x ^ { 2 } + x ^ { 4 }f(x)=2x2+x4

Determine Whether the Function Is an Even Function, an Odd $f ( x ) = 2 x ^ { 2 } + x ^ { 4 }$