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Mathematics 19 Online
OpenStudy (mathmath333):

question

OpenStudy (mathmath333):

\(\large \color{black}{\begin{align}& \normalsize \text{which of the following is an odd function}\hspace{.33em}\\~\\ & a.)\ 2^{-x\cdot x} \hspace{.33em}\\~\\ & b.)\ 2^{x-x\cdot x\cdot x\cdot x} \hspace{.33em}\\~\\ & c.)\ \normalsize \text{both a.) and b.) } \hspace{.33em}\\~\\ & d.)\ \normalsize \text{neither a.) nor b.) } \hspace{.33em}\\~\\ \end{align}}\)

OpenStudy (anonymous):

D

OpenStudy (anonymous):

I got it, it's always D :P

OpenStudy (mathmath333):

is b.) odd

OpenStudy (anonymous):

I think the question could better have been which one is even

OpenStudy (anonymous):

Whenever you u see an exponent, how can the minus sign get down to the 2, how can it change sign and go from positive to NEGATIVE and vice versa,, it's always positive or negative

OpenStudy (anonymous):

But never both

OpenStudy (mathmath333):

thnx

OpenStudy (anonymous):

Wlc

OpenStudy (anonymous):

\[f(x)=2^{-x^2}~~\implies~~f(-x)=2^{-(-x)^2}=2^{-x^2}=f(x)\] \[g(x)=2^{x-x^4}~~\implies~~g(-x)=2^{-x-(-x)^4}=2^{-x-x^4}\]

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