4. (1 point) The asymptote of the function $$ f(x)=b^{x} $$ is $$ \begin{array}{llll} ext { a. the } y ext {-axis } & ext { b. the } x ext {-axis } & ext { c. } x=b & ext { d. } y=b\end{array} $$

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4. (1 point) The asymptote of the function $$ f(x)=b^{x} $$ is $$ \begin{array}{llll}	ext { a. the } y 	ext {-axis } & 	ext { b. the } x 	ext {-axis } & 	ext { c. } x=b & 	ext { d. } y=b\end{array} $$

UpStudy AI · Accepted Answer

The function $$ f(x) = b^x $$ (where $$ b > 0 $$ and $$ b 
eq 1 $$) is an exponential function. As $$ x $$ approaches negative infinity, $$ f(x) $$ approaches 0, which means that the function gets closer and closer to the x-axis but never actually touches it. Therefore, the asymptote of the function is the x-axis.

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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