Respuesta :

Recall that:

1) f(x) is an even function if:

[tex]f(-x)=f\mleft(x\mright).[/tex]

2) f(x) is an odd function if:

[tex]f(-x)=-f(x).[/tex]

Now, notice that:

[tex]\begin{gathered} f(-x)=3^{-x}\ne3^x=f(x), \\ f(-x)=3^{-x}\ne-3^x=-f(x). \end{gathered}[/tex]

Therefore f(x)=3^x is neither an even function nor an odd function.

Answer: Neither an even function nor an odd function.

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