Determine whether the given function is even, odd, or neither.
-$$f ( x ) = 3 x ^ { 2 } + x ^ { 4 }$$
A) Even
B) Odd
C) Neither

Name: Determine whether the given function is even, odd, or neither. -\[f ( x ) = 3 x ^ { 2 } + x ^ { 4 }\] A) Even B) Odd C) Neither
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Question

Quizplus · Accepted Answer

A function is even if $f(-x) = f(x)$ for all $x$ in the function's domain. For $f(x) = 3x^2 + x^4$, substituting $-x$ for $x$ gives $f(-x) = 3(-x)^2 + (-x)^4 = 3x^2 + x^4$, which is the same as $f(x)$. Therefore, the function is even.

Determine Whether the Given Function Is Even, Odd, or Neither f(x)=3x2+x4f ( x ) = 3 x ^ { 2 } + x ^ { 4 }f(x)=3x2+x4

Determine Whether the Given Function Is Even, Odd, or Neither $f ( x ) = 3 x ^ { 2 } + x ^ { 4 }$