Aim # 4.1 What are Exponential Functions?

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?

Example

Graphing Exponential Functions

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

Transformations of Exponential Functions Let’s Review…

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

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

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

(a) (b) (c) (d)

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

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 .

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

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

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

Example 2

What is Compound Interest? How is it calculated?

Continuous Compounding of Interest

Example

(a) (b) (c) (d)

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.