1. Algebra II H/G Section-07-02
ALGEBRA II HONORS/GIFTED - SECTION 7-2 (Properties of Exponential Functions)
5/1/2019
Algebra II H/G Section-07-02
Properties of Exponential Functions

2. Transformations of Exponential Functions
1) Graph y = 𝟒 𝒙 using y-intercept: Domain: Range: Asymptote:

3. Transformations of Exponential Functions
2) Graph y = 𝟐 𝒙 and y= 3 ∙𝟐 𝒙 using Compare both graphs: y-intercept: Domain: Range: Asymptote:

4. Transformations of Exponential Functions
3) Graph y = 𝟐 𝒙 and y = 𝟏 𝟐 ∙𝟐 𝒙 using Compare both graphs: y-intercept: Domain: Range: Asymptote:

5. Transformations of Exponential Functions
4) Graph y = 𝟐 𝒙 and y = 𝟐 𝒙−𝟐 using Compare both graphs: y-intercept: Domain: Range: Asymptote:

6. Transformations of Exponential Functions
5) Graph y = 𝟐 𝒙 and y = 𝟐 𝒙 −𝟑 Compare both graphs: y-intercept: Domain: Range: Asymptote:

7. Transformations of Exponential Functions
6) Graph y = 𝟐 𝒙 and y =−𝟐 𝟐 𝒙+𝟐 +𝟒 Compare both graphs: y-intercept: Domain: Range: Asymptote:

8. base moves the graph up (+) or down (-) moves the graph left (+)
or right (-)
moves the graph up (+) or down (-)
shrinks or
stretches
base

9. Natural Base Exponential functions
Exponential functions with base e 7) Graph y = 𝒆 𝒙 and evaluate 𝒆 𝟒 to four decimal places

10. Continuous Compounded Interest Formula
A(t)=P 𝒆 𝒓𝒕
Amount in account at time t
Interest rate (annual)
principal
time in years

11. 8) Chloe deposited $2500 in an account that pays 6% annual interest
compounded continuously. How much will he have in her account after 5 years? $

12. 9) Emilia is researching a newly- discovered species of bacteria
9) Emilia is researching a newly- discovered species of bacteria. At time t = 0 hours, she puts one hundred bacteria into what she has determined to be a favorable growth medium. The bacteria are growing at a rate of 25%. Assuming continuous growth, what is the population of the bacteria after six hours?
About 448 bacteria.