Exponential Functions

1
Exponential Functions
0 lt a lt 1, How does the function behave?
a gt 1, How does the function behave?
Describe general behavior of exponential functions
Describe the domain and range.
2
Exponential Functions
Illustrate
1. For 0 lt a lt 1
2. For a gt 1
3
Exponential Functions
Sketch
4
Exponential Functions
Discuss behavior of the following and why.
Include asymptotes
5
The Natural Exponential Function
Select increasing values for n and evaluate
function using your calculator.
Compare results to the value e.
6
The Natural Exponential Function
Compound Interest
Continuous Interest
Exponential Growth
7
The Natural Exponential Function
1. If 5000 is invested at an interest rate of 8
per year compounded quarterly, find the value of
the investment after 5 years.
compounded continuously
8
The Natural Exponential Function
2. Find the value of a 10000 compounded
continuously at 7 after 5 years..
9
The Natural Exponential Function
3. Determine the population of a city of 100000
10 years from now if the growth rate is predicted
at 5 per year.