MATH SOLVE

2 months ago

Q:
# Given the exponential function A(x)=P(1+r)^x, what value for r will make the function a decay function

Accepted Solution

A:

The function will be a decay function for

.. |1 +r| < 1

.. -1 < 1 +r < 1

.. -2 < r < 0

Any value of r in the interval (-2, 0) will make the function a decay function.

_____

If x can have non-integer values, then you probably want r β (-1, 0).

.. |1 +r| < 1

.. -1 < 1 +r < 1

.. -2 < r < 0

Any value of r in the interval (-2, 0) will make the function a decay function.

_____

If x can have non-integer values, then you probably want r β (-1, 0).