Determine if the function is even, odd, or neither.
-$$f ( x ) = 2 x ^ { 2 } + 1$$
A) Neither
B) Even
C) Odd

Name: Determine if the function is even, odd, or neither. -\[f ( x ) = 2 x ^ { 2 } + 1\] A) Neither B) Even C) Odd
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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 $f(x) = 2x^2 + 1$, substituting $-x$ for $x$ gives $f(-x) = 2(-x)^2 + 1 = 2x^2 + 1$, which is equal to $f(x)$. Therefore, the function is even.

Determine If the Function Is Even, Odd, or Neither f(x)=2x2+1f ( x ) = 2 x ^ { 2 } + 1f(x)=2x2+1

Determine If the Function Is Even, Odd, or Neither $f ( x ) = 2 x ^ { 2 } + 1$