Determine whether $f$ is even, odd, or neither.
$$f ( x ) = \frac { 4 x ^ { 2 } } { x ^ { 4 } + 5 }$$
A) neither
B) odd
C) even

Name: Determine whether $f$ is even, odd, or neither. \[f ( x ) = \frac { 4 x ^ { 2 } } { x ^ { 4 } + 5 }\] A) neither B) odd C) even
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Question

Quizplus · Accepted Answer

A function is even if $ f(-x) = f(x) $. For $ f(x) = \frac{4x^2}{x^4 + 5} $, substituting $-x$ gives $ f(-x) = \frac{4(-x)^2}{(-x)^4 + 5} = \frac{4x^2}{x^4 + 5} = f(x) $, so the function is even.

Determine Whether fff Is Even, Odd, or Neither f(x)=4x2x4+5f ( x ) = \frac { 4 x ^ { 2 } } { x ^ { 4 } + 5 }f(x)=x4+54x2​

Determine Whether $f$ Is Even, Odd, or Neither $f ( x ) = \frac { 4 x ^ { 2 } } { x ^ { 4 } + 5 }$