1. MAT 142 Lecture Video Series

2. Exponential Functions and Their Inverses
Right Triangle Trigonometry (MAT 142)
Exponential Functions and Their Inverses

3. Right Triangle Trigonometry (MAT 142)
Objectives
Evaluate a function at a given value.
Match an exponential function to its graph.

4. Right Triangle Trigonometry (MAT 142)
Functions
x is the independent variable.
Y is the dependent variable.
fred is the name of the function.

5. Right Triangle Trigonometry (MAT 142)
Evaluate.

6. Basic Natural Exponential Function
Right Triangle Trigonometry (MAT 142)
Basic Natural Exponential Function
a is the initial amount (f(0))
e is a number that is approximately (it is on your calculator)

7. Graph each of the following functions.
Right Triangle Trigonometry (MAT 142)
Graph each of the following functions.

8. Right Triangle Trigonometry (MAT 142)
green
blue
red

9. Graph each of the following functions.
Right Triangle Trigonometry (MAT 142)
Graph each of the following functions.

10. Right Triangle Trigonometry (MAT 142)
blue
green

11. Basic Natural Exponential Function
Right Triangle Trigonometry (MAT 142)
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.
Right Triangle Trigonometry (MAT 142)
Graph each of the following functions.

13. Right Triangle Trigonometry (MAT 142)
blue
red
green

14. Inverse of the Natural Exponential Function
Right Triangle Trigonometry (MAT 142)
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
Right Triangle Trigonometry (MAT 142)
Write the inverse of the exponential function

16. Write the inverse of the exponential function
Right Triangle Trigonometry (MAT 142)
Write the inverse of the exponential function

17. Right Triangle Trigonometry (MAT 142)
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