We need to write an exponential growth function.
Let us define an exponential function first.
An exponential function is a function whose has a variable the exponent.
Equation of an exponential function is [tex]y = a(b)^x[/tex], where is the initial value, b is the growth factor.
Let us define and exponential growth function now.
When the rate in exponential function increase, we get an exponential growth function.
In [tex]y = a(b)^x[/tex], equation when value of b is greater than 1, it will be an exponential growth function.
Let us take an example now.
Let us take [tex]y = 3(2)^x[/tex]. Here value of b is 2.
2 is greater than 1.
Therefore, it's an exponential growth function.
Let us take another example.
[tex]y=1/2(1.1)^x[/tex], here a=1/2 and b=1.1 and it's still greater than 1.
Exponential growth function totally depends on the value of b we take.
Only if b>1 it would be an Exponential growth function.
