1. MAT 142 Lecture Video Series

2. Exponential Functions and Their Inverses

3. Objectives Evaluate a function at a given value. Match an exponential function to its graph.

4. Functions x is the independent variable. Y is the dependent variable. fred is the name of the function.

5. Evaluate.

6. Basic Natural Exponential Function a is the initial amount (f(0)) e is a number that is approximately 2.71828 (it is on your calculator)

7. Graph each of the following functions.

8. red green blue

9. Graph each of the following functions.

10. green blue

11. Basic Natural Exponential Function a is the initial amount (f(0)) k > 0, function strictly increases k < 0, function strictly decreasing

12. Graph each of the following functions.

13. red blue green

14. Inverse of the Natural Exponential Function Where a, k, and t come from the natural exponential function.

15. Write the inverse of the exponential function

17. The number of bacteria in a culture is given by the function where t in measured in hours. How many bacteria will the culture contain in 5 hours?

18. Creator and Producer Elizabeth Jones for The School of Mathematical and Statistical Sciences at Arizona State University Videographer Mike Jones ©2010 Elizabeth Jones and School of Mathematical and Statistical Sciences at Arizona State University