Question

Given the exponential function a(x) = p(1 + r)x, what value for r will make the function a decay function?

Answer 1

I did not know the answer

Answer 2

Answer:

Exponential function $a(x) = p(1 - r)^x$ is the decay function.

Step-by-step explanation:

Given : The exponential function $a(x) = p(1 + r)^x$

To find : What value for r will make the function a decay function?

Solution :

An exponential function with base b is defined by $f(x)=ab^x$

where a ≠0 , b > 0 , b ≠1, and x is any real number.

The b value (growth factor) has been replaced either by (1 + r) or by (1 - r).

The growth "rate" (r) is determined as b = 1 + r.

The decay "rate" (r) is determined as b = 1 - r

Therefore, In the given function r will make a decay function when it is subtracted from 1.

i.e, Exponential function $a(x) = p(1 - r)^x$ is the decay function.