financial math edge ic sem a jones exponential functions and financial literacy if the graph of an…

financial math edge ic sem a jones exponential functions and financial literacy if the graph of an exponential function does not cross the x - axis, what does this imply about the asymptote? it has a vertical asymptote. it has a horizontal asymptote at y = 1. it has a horizontal asymptote at y = 0. it has no asymptote.

financial math edge ic sem a jones exponential functions and financial literacy if the graph of an exponential function does not cross the x - axis, what does this imply about the asymptote? it has a vertical asymptote. it has a horizontal asymptote at y = 1. it has a horizontal asymptote at y = 0. it has no asymptote.

Answer

Answer:

It has a horizontal asymptote at $y = 0$.

Explanation:

Step1: Recall exponential function form

The general form of an exponential function is $y = a\cdot b^{x}+k$ ($a\neq0$, $b>0$, $b\neq1$).

Step2: Analyze behavior as $x$ varies

As $x\to\pm\infty$, for non - zero $a$ and $b>0,b\neq 1$, the function approaches a constant value. When the graph does not cross the $x$ - axis, as $x\to\pm\infty$, $y$ approaches $0$. So the horizontal asymptote is $y = 0$.