8.2 Properties of Exponential Functions An education isn't how much you have committed to memory, or even how much you know. It's being able to differentiate between what you do know and what you don't.

These are all exponential parent functions: changing “b” means changing parent functions characteristics?? Parent Functions

x Transformations of

Stretch or shrink; reflection over x-axis if a is negative Horizontal translation (opposite of what you see) Vertical translation (up/down), asymptote is y = k Transformations

List Sequence of Transformations Transformations of

List Sequence of Transformations Transformations of

Ex4) Since a 200-mg supply of technetium-99m has a half- life of 6 hours, find the amount of technetium-99m that remains from a 50-mg supply after 25 hours. Half-Life Number of 6 hour periods Total hours Amount of substance (mg)

e and the Pe rt Formula Continuously Compounded Interest: time in years amount in initial rate of account amount interest

e and the Pe rt Formula Ex5) Suppose you invest $100 at an annual interest rate of 4.8% compounded continuously. How much will you have in the account after 3 years? Ex6) Suppose you invest $1300 at an annual interest rate of 4.3% compounded continuously. Find the amount you will have in the account after 5.5 years.

8.2 Properties of Exponential Functions An education isn't how much you have committed to memory, or even how much you know. It's being able to differentiate between what you do know and what you don't. HW: #1-13 odd, all