1. Using Functions Involving e
Notes 7.3 (Day 2)
Using Functions Involving e

2. Natural Base Exponential Function:
If a > 0 and r > 0, the function is an exponential growth function
If a > 0 and r < 0, the function is an exponential decay function
Example of Exponential Growth:
Example of Exponential Decay:

3. Graphing exponential growth and decay with e.
Step 1: Draw coordinate plane. Step 2: Place pencil on a value on the y axis. Step 3: Move left or right according to h. Step 4: Move up or down according to k. Step 5: Place your first point. Step 6: Label your asymptote. (k value) Step 7: Make a t-chart with a point to the right and left of your beginning point. Step 8: Graph and connect the points. ***The r value tells whether the function will be exponential growth or decay. (positive -> growth, negative -> decay)

4. Graph the function. State the domain and range.

5. Graph the function. State the domain and range.

6. Graph the function. State the domain and range.

7. Graph the function. State the domain and range.

8. Graph the function. State the domain and range.

9. Homework:
P , 42-50