1. 7.2 Properties of Exponential Functions

2. Transformations:
Ex) Find the transformations of
from the parent function

3. Ex) The isotope Hg-197 is used in kidney
scans. It has a half-life of hours. After
that time, half the isotope will have decayed.
Write the exponential decay function for a
12-mg sample. Find the amount remaining
after 72 hours.

4. Ex) The isotope Sr-85 is used in bone scans.
It has a half-life of 64.9 days.
Write the exponential decay function for a
8-mg sample. Find the amount remaining
after 100 days.

5. Practice Exponential Regression (example 3 – p445).

6. Irrational base e
Ex) Evaluate directly and using tables

7. Continuously Compounded Interest
(THIS IS NOT THE SAME AS ANNUALLY
COMPOUNDED INTEREST WHICH USES
THE EXPONENTIAL GROWTH/DECAY
FORMULA)

8. Ex) Suppose you won a contest at the
start of 5th grade that deposited $3000
in an account that pays 5% annual interest
compounded continuously. How much
will you have in the account when you
enter high school 4 years later?

9. Ex) Suppose you want to save $6000
for college in 5 years. How much should
be put into an account that pays 5.2%
annual interest compounded continuously?

10. Ex) How long would it take to triple your
principal in an account that pays 6.5%
annual interest compounded continuously?