1. 1.3 Exponential Functions Day 1
Date
Calculus AB
Ms. Brewer

2. Vocab/Formulas Exponential Growth: If b>1
Exponential Decay: If 0<b<1

3. Example 1: $100 is invested in 1996 at 5
Example 1: $100 is invested in 1996 at 5.5% interested compounded annually. How much will there be in 4 years?

4. Rules for Exponents

5. Example 2: Use the table and an exponential model to predict the population of the US in the year 2010.
Year
Population (millions)
1986
4936
1987
5023
1988
5111
1989
5201
1990
5329
5023/4936=1.0176
5111/5023=1.0175
1.0176
1.0246
Calculator Way of Solving:
Enter table into L1 and L2
Exponential Regression
STAT
CALC
#10 EXP REG
ENTER

6. Example 3: The half-life of a substance is 20 days
Example 3: The half-life of a substance is 20 days. If the initial amount was 5g, when will there be only 1 gram remaining?

7. Assignment
Pg (by 3’s)