Determine whether the function is even, odd, or neither.
-$f ( x ) = 0.83 x ^ { 2 } + | x | - 1$
A) Odd
B) Neither
C) Even

Name: Determine whether the function is even, odd, or neither. -$f ( x ) = 0.83 x ^ { 2 } + | x | - 1$ A) Odd B) Neither C) Even
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Question

Quizplus · Accepted Answer

A function is even if $f(-x) = f(x)$ for all $x$ in the domain of $f$. For $f(x) = 0.83x^2 + |x| - 1$, replacing $x$ with $-x$ gives $0.83(-x)^2 + |-x| - 1 = 0.83x^2 + |x| - 1$, which is the same as the original function, thus it is even.

Determine Whether the Function Is Even, Odd, or Neither f(x)=0.83x2+∣x∣−1f ( x ) = 0.83 x ^ { 2 } + | x | - 1f(x)=0.83x2+∣x∣−1

Determine Whether the Function Is Even, Odd, or Neither $f ( x ) = 0.83 x ^ { 2 } + | x | - 1$