1. Aim # 4.1 What are Exponential Functions?

2. Copy and leave room in between the questions.
Essential Questions
Copy and leave room in between the questions.
What are exponential functions?
How do we graph exponential?
What are the characteristics of exponential functions?

4. Example

5. Graphing Exponential Functions

7. Example 2: Now graph below.
Create a table for each exponential function.

8. Transformations of Exponential Functions Let’s Review…

10. Example: Describe the transformation Identify the y-intercept for each
Horizontal asymptote for each

11. Example: Describe the transformation Identify the y-intercept for each
Horizontal asymptote for each

12. Example: Describe the transformation Identify the y-intercept for each
Horizontal asymptote for each

13. (a)
(b)
(c)
(d)

14. What is the y-intercept?
What is the horizontal asymptote?

15. Summary: Answer in complete sentences.
What are some the characteristic we can use to describe exponential functions?
Explain how to graph
G(x) = 2(x+2) – 1 using F(x) = 2x .

16. Aim # 4.1b What is compound interest and how do we calculate?

17. What is The Natural Base e?
Day 2 – starts here

19. Example 1: Graphing Now graph below. Domain Range Y-intercept
Create a table for each exponential function.
Domain
Range
Y-intercept
Horizontal Asymptote

20. Example 2

21. What is Compound Interest? How is it calculated?

24. Continuous Compounding of Interest

25. Example

26. (a)
(b)
(c)
(d)

27. Summary/ Ticket Out Answer in complete sentences.
Explain the difference between compounding continuously and compounding quarterly?
Suppose that you have $10,000 to invest. Which investment yields a greater return over 3 years:
7% compounded monthly or 6.85% compounded continuously?
Show work to support your answer.