(1 point) The asymptote of the function $$ f(x)=b^{x} $$ is $$ \begin{array}{lll} ext { a. the } y ext {-axis } & ext { b. the } x ext {-axis } & ext { c. } x=b\end{array} $$

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(1 point) The asymptote of the function $$ f(x)=b^{x} $$ is $$ \begin{array}{lll}	ext { a. the } y 	ext {-axis } & 	ext { b. the } x 	ext {-axis } & 	ext { c. } x=b\end{array} $$

UpStudy AI · Accepted Answer

The function $$ f(x) = b^x $$ (where $$ b > 0 $$ and $$ b 
eq 1 $$) is an exponential function. The asymptote of this function is the horizontal line that the graph approaches as $$ x $$ approaches negative infinity.

As $$ x $$ approaches negative infinity, $$ f(x) $$ approaches 0. Therefore, the asymptote of the function $$ f(x) = b^x $$ is the $$ x $$-axis.

So the correct answer is:

**b. the x-axis**
The asymptote is the x-axis.

(1 point) The asymptote of the function is

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