Determine whether the function is an even function, an odd function, or neither.
-$g ( x ) = e ^ { 3 x } + 5$
A)Odd
B)Neither
C)Even

Name: Determine whether the function is an even function, an odd function, or neither. -$g ( x ) = e ^ { 3 x } + 5$ 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, and odd if $f(-x) = -f(x)$. For $g(x) = e^{3x} + 5$, $g(-x) = e^{-3x} + 5 \neq e^{3x} + 5$ and $g(-x) \neq -(e^{3x} + 5)$, so it is neither even nor odd.

Determine Whether the Function Is an Even Function, an Odd g(x)=e3x+5g ( x ) = e ^ { 3 x } + 5g(x)=e3x+5

Determine Whether the Function Is an Even Function, an Odd $g ( x ) = e ^ { 3 x } + 5$