1. WARM UP 3
SOLVE THE EQUATION. (Lesson 3.6) 1. x + 9 = x – 5 = x - 8 = 2

2. WARM UP 2
SOLVE THE EQUATION. (Lesson 3.6) 1. x + 9 = x – 5 = x - 8 = 2

3. WARM UP 1
SOLVE THE EQUATION. (Lesson 3.6) 1. x + 9 = x – 5 = x - 8 = 2

4. WARM UP
SOLVE THE EQUATION. (Lesson 3.6) 1. x + 9 = x – 5 = x - 8 = 2

5. 8.3 Graphs of Exponential Functions
GOAL
Graph an exponential function
KEY WORDS
Exponential Function
Exponential Growth
Exponential Decay

6. 8.3 Graphs of Exponential Functions
EXAMPLE 2 Graph an Exponential Function when b>1
Use the table of values in Example 1 to graph the function y = 2x
SOLUTION
Find the table in your notes for Example 1 that you made yesterday. x -2 -1 1 2 3
y = 2x
1 4
1 2 4 8

7. 8.3 Graphs of Exponential Functions
EXAMPLE 2 Graph an Exponential Function when b>1
Use a coordinate plane and plot the six points in the table.

8. 8.3 Graphs of Exponential Functions
EXAMPLE 2 Graph an Exponential Function when b>1
Then draw a smooth curve through the points. This graph and Exponential Function is an example of……………..
EXPONENTIAL GROWTH!

9. 8.3 Graphs of Exponential Functions
Checkpoint Evaluate an Exponential Growth Function
Make a table of values for the exponential function
y = 3x and graph. Use the x-values of -2, -1, 0, 1, 2 and 3. x -2 -1 1 2 3
y = 3x

10. 8.3 Graphs of Exponential Functions
EXAMPLE 3 Graph an Exponential Function when 0<b<1
Graph the function y = 3( 1 2 )x
SOLUTION
Make a table of values. Use x-values -2, -1, 0, 1, 2, 3. x -2 -1 1 2 3
y = 3( 1 2 )x

11. 8.3 Graphs of Exponential Functions
EXAMPLE 3 Graph an Exponential Function when 0<b<1
Use a coordinate plane and plot the six points in the table.

12. 8.3 Graphs of Exponential Functions
EXAMPLE 3 Graph an Exponential Function when 0<b<1
Then draw a smooth curve through the points. This graph and Exponential Function is an example of……………..
EXPONENTIAL DECAY!

13. 8.3 Graphs of Exponential Functions
Checkpoint Evaluate an Exponential Decay Function
Make a table of values for the exponential function
y = 2( 1 3 )x and graph. Use the x-values of -2, -1, 0, 1, 2 and 3. x -2 -1 1 2 3 y

14. YOUR TURN!
On the worksheet, make a table of the six exponential functions and graph your results with your partner!