Determine if the function is even, odd, or neither.
-$f ( x ) = 2 x ^ { 5 } - 7 x ^ { 3 }$
A) Even
B) Odd
C) Neither

Name: Determine if the function is even, odd, or neither. -$f ( x ) = 2 x ^ { 5 } - 7 x ^ { 3 }$ A) Even B) Odd C) Neither
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Question

Quizplus · Accepted Answer

A function is odd if $f(-x) = -f(x)$ for all $x$ in the domain of $f$. For $f(x) = 2x^5 - 7x^3$, substituting $-x$ for $x$ gives $f(-x) = 2(-x)^5 - 7(-x)^3 = -2x^5 + 7x^3$, which is $-f(x)$. Therefore, the function is odd.

Determine If the Function Is Even, Odd, or Neither f(x)=2x5−7x3f ( x ) = 2 x ^ { 5 } - 7 x ^ { 3 }f(x)=2x5−7x3

Determine If the Function Is Even, Odd, or Neither $f ( x ) = 2 x ^ { 5 } - 7 x ^ { 3 }$