Explain how to determine if a function is exponential growth or exponential decay? give and example of each.

Formula is given in the picture

For the exponential growth we have the formula

Exponential functions are in the form  

y = ab^ x

If  a is positive and b  is greater than  1, then it is exponential growth. If a is positive and b is less than 1 but greater than 0, then it is exponential decay.

For Example

2 months ago you had 3 mice, you now have 18 shows and exponential growth

And

Atmospheric pressure (the pressure of air around you) decreases as you go higher shows exponential decay.

a. -0.3 > -0.33