Question

Exponential functions increase rapidly how would you describe the behavior of an inverse function to that

Answer 1

The exponential functions have the form f(x) = bˣ where b> 0 and b≠0.

Step-by-step explanation:

Exponential function is given in the form of f(x)= bˣ

When working with the inverse of a function, the inputs (x) and outputs(y) exchange their places and the inverse will be the reflection over the identity line y= x

The example of exponential function is the growth of bacteria. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours and it is written as f(x) = 2x.  

The exponential function will be bigger than the polynomial and it always have the positive number other than 1 as the base.

The instantaneous rate of change of a quantity with respect to time is proportional to the quantity by itself.