Question

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

Answer 1

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.