PLEASE HELP!! what is the horizontal asymptote of f(x)=2/3^x? Is it on the x-axis or the y-axis?

Question

asked Mar 15, 2021 211k views

1 Answer

Steven Borg · Answer 1 · 2021-03-21T05:42:10+0000

Hey there! :)

Answer:

y = 0, also known as the x-axis.

Explanation:

The equation
f(x) = (2)/(3) ^(x) is an exponential function.

There is an asymptote at y = 0, or the x-axis because:

$(2)/(3) ^(x)\\eq 0$

An exponential function, unless containing a vertical shift, can never cross the x-axis resulting in an asymptote at y = 0.