Determine whether the function f(x)=-9x^(5)-x is even, odd or neither. even odd neither

Define function f(x): Define the function f(x). The given function is f(x)=-9x^(5)-x. We need to determine if this function is even, odd, or neither.Evaluate f(-x): Evaluate f(-x). Substitute -x for x in f(x) to find f(-x). f(-x)=-9(-x)^(5)-(-x) Simplify the right side of the function. f(-x)=-9(-1)^5x^5+x Since (-1)^5 is -1, we have: f(-x)=-9(-1)x^5+x f(-x)=9x^5+xCompare f(x) and f(-x): Compare f(x) and f(-x). We have: f(x)=-9x^(5)-x f(-x)=9x^5+x Since f(-x) is not equal to f(x) and f(-x) is not equal to -f(x), the function f(x) is neither even nor odd.

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Determine whether the function
f(x)=-9x^(5)-x is even, odd or neither.
even
odd
neither

Determine whether the function $f(x)=-9 x^{5}-x$ is even, odd or neither. $\newline$ even $\newline$ odd $\newline$ neither

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Algebra 2

Even and odd functions

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Q. Determine whether the function

f(x)=-9 x^{5}-x

is even, odd or neither.

\newline

even

\newline

odd

\newline

neither

Define function $f(x)$ : Define the function $f(x)$ . The given function is $f(x) = -9x^{5} - x$ . We need to determine if this function is even, odd, or neither.
Evaluate $f(-x)$ : Evaluate $f(-x)$ .
Substitute $-x$ for $x$ in $f(x)$ to find $f(-x)$ .
$f(-x)=-9(-x)^{5}-(-x)$
Simplify the right side of the function.
$f(-x)=-9(-1)^5x^5+x$
Since $(-1)^5$ is $-1$ , we have:
$f(-x)$ $0$
$f(-x)$ $1$
Compare $f(x)$ and $f(-x)$ : Compare $f(x)$ and $f(-x)$ . We have: $f(x)=-9x^{5}-x$ $f(-x)=9x^5+x$ Since $f(-x)$ is not equal to $f(x)$ and $f(-x)$ is not equal to $-f(x)$ , the function $f(x)$ is neither even nor odd.