Answer:
As x-approaches infinity, we get a rational function whose denominator becomes bigger and bigger while the numerator is constant
Step-by-step explanation:
The basic exponential functions are of the form:
[tex]y = {b}^{ x} [/tex]
where b is a constant.
Horizontal is the horizontal line the graph of a function approaches when as x-values approaches infinity.
For exponential growth functions, as x-approaches negative infinity the function approaches zero, i.e y=0.
For exponential decay functions as x-approaches positive infinity the function approaches zero.
The reason is that, in each case we get a rational expression whose denominator grows bigger and bigger, while the numerator remains constant.
