Determine whether the function f(x)=x^(3)+3 is even, odd or neither. even odd neither

Define function f(x): Define the function f(x). We are given f(x) = x^3 + 3. To determine if the function is even, odd, or neither, we need to evaluate f(-x) and compare it to f(x).Calculate f(-x): Calculate f(-x). Substitute -x for x in f(x) = x^3 + 3. f(-x) = (-x)^3 + 3 f(-x) = -x^3 + 3Compare f(-x) with f(x): Compare f(-x) with f(x). We have f(x) = x^3 + 3 and f(-x) = -x^3 + 3. Since f(-x) ≠ f(x) and f(-x) ≠ -f(x), the function is neither even nor odd.

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Determine whether the function
f(x)=x^(3)+3 is even, odd or neither.
even
odd
neither

Determine whether the function $f(x)=x^{3}+3$ 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)=x^{3}+3

is even, odd or neither.

\newline

even

\newline

odd

\newline

neither

Define function $f(x)$ : Define the function $f(x)$ . We are given $f(x) = x^3 + 3$ . To determine if the function is even, odd, or neither, we need to evaluate $f(-x)$ and compare it to $f(x)$ .
Calculate $f(-x)$ : Calculate $f(-x)$ . $\newline$ Substitute $-x$ for $x$ in $f(x) = x^3 + 3$ . $\newline$ $f(-x) = (-x)^3 + 3$ $\newline$ $f(-x) = -x^3 + 3$
Compare $f(-x)$ with $f(x)$ : Compare $f(-x)$ with $f(x)$ . We have $f(x) = x^3 + 3$ and $f(-x) = -x^3 + 3$ . Since $f(-x) \neq f(x)$ and $f(-x) \neq -f(x)$ , the function is neither even nor odd.