1.Exponential Growth Warm-up 2 2.Assignment Check 3.Catch up time

p. 470: 46 – 48, 52, 54, 60, 62 p. 478: 44 – 46, 50, 52

Unit 10 Lesson 1 – 2: Using Exponential Functions A-CED 2: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. Catch up on the stuff we missed last week. ESLRs: Becoming Competent Learners, Complex Thinkers, and Effective Communicators.

Comparing Functions x linearcubicexponential

Comparing Functions x x y

Comparing Functions x

x y 1 Exponential Functions Domain: All Real Numbers y -intercept: x -intercept: Range: asymptote:

Exponential Functions increasing/decreasing: increasing end behavior : x y 1

x y Exponential Functions Domain: All Real Numbers y -intercept: x -intercept: Range: asymptote:

x y Exponential Functions increasing/decreasing: decreasing end behavior :

x y Exponential Functions Domain: All Real Numbers y -intercept: x -intercept: Range: asymptote:

Exponential Functions increasing/decreasing: decreasing end behavior : x y

x y Exponential Functions Domain: All Real Numbers y -intercept: x -intercept: Range: asymptote:

Exponential Functions increasing/decreasing: increasing end behavior : x y

x y k moves the graph up or down and also the asymptote. Exponential Growth h moves the graph left or right The intercepts need to be adjusted.

Using Exponential Functions The initial amount A percent written as a decimal time The growth/decay factor a : the initial amount r : a percent as a decimal t : time passed (often in number of years)

Example The radioactive decay of radon-222 can be modeled by the function A = the amount remaining C = the original amount, t = the time in days. If there are 15 mg of radon-222 sealed in a glass tube, how much will remain in the tube after 8 days?

Example The radioactive decay of radon-222 can be modeled by the function A = the amount remaining C = the original amount, t = the time in days. If 10 mg of radon-222 remain after 5 days, how much was originally there?

Natural Base Exponential Function

x y

x y

You Try

p. 483: 50 – 76 e, 80