Answer:
To make the function a decay function the rate of change in the function A(x) is r<0.
Step-by-step explanation:
Given : The exponential function [tex]A(x)=P(1+r)^x[/tex]
To find : What value for r will make the function a decay function?
Solution :
The exponential function is [tex]A(x)=P(1+r)^x[/tex],
where, P is the initial value
and r is the rate of change
The condition of rate of change is
1) The function is an exponential growth if their is positive rate of change i.e r>0.
2) The function is an exponential decay if their is negative rate of change i.e. r<0.
Therefore, To make the function a decay function the rate of change in the function A(x) is r<0.
