Well whether the function $y = x ^ { 5 } + 9 x ^ { 3 }$ is even or odd.If it is neither, so indicate.
A)even
B)odd
C)neither

Name: Well whether the function $y = x ^ { 5 } + 9 x ^ { 3 }$ is even or odd.If it is neither, so indicate. A)even B)odd C)neither
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Question

Well whether the function $y = x ^ { 5 } + 9 x ^ { 3 }$ is even or odd.If it is neither, so indicate.  
A)even
B)odd
C)neither

Quizplus · Accepted Answer

A function $f(x)$ is odd if $f(-x) = -f(x)$ for all $x$ in the domain of $f$. For the given function $y = x^5 + 9x^3$, if we substitute $-x$ for $x$, we get $(-x)^5 + 9(-x)^3 = -x^5 - 9x^3$, which is $-f(x)$. Therefore, the function is odd.

Well Whether the Function y=x5+9x3y = x ^ { 5 } + 9 x ^ { 3 }y=x5+9x3

Well Whether the Function $y = x ^ { 5 } + 9 x ^ { 3 }$