Intruc

1. 3.1 Exponential
Functions
Essential Question:
How do you write and graph exponential functions?
1

2. Calculator!
2

3. One-To-One Property:
Ex. 2) Solve.
3

4. Exponential Functions
Domain:
Range:
Asymptote:
Intercept:
("fixed point")
4

5. Types of Exponential Functions
Growth:
Decay:
5

6. 6

7. 7

8. Transformations
8

9. Ex. 4) Graph.
9

10. Ex. 5) Graph.
10

11. The number "e"
11

12. Growth and Decay with e
Growth:
Decay:
Asymptote:
Intercept:
12

13. 13

14. 14

15. Ex. 8﴿ On the day of a child's birth, $25,000 is deposited
into a trust fund that pays 8.25% interest. What is the
balance in this account on the child's 18th birthday if the
interest is
a﴿ compounded quarterly
b﴿ compounded monthly
c﴿ compounded continously
15

16. Ex. 9﴿ In 2010, the current population of
Visalia is approximately 125,921 people. If the
population is increasing at a rate of 4%,
estimate the population in 2060.
16

17. Assignment:
#22 p. 226 #4, 7­10, 13,
16, 28, 29, 35, 46, 48,
53, 58, 62, 67
17

18. 18