WARM UP 3 SOLVE THE EQUATION. (Lesson 3.6) 1. x + 9 = 12 2. x – 5 = 11 3. 2x - 8 = 2.

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Presentation transcript:

WARM UP 3 SOLVE THE EQUATION. (Lesson 3.6) 1. x + 9 = 12 2. x – 5 = 11 3. 2x - 8 = 2

WARM UP 2 SOLVE THE EQUATION. (Lesson 3.6) 1. x + 9 = 12 2. x – 5 = 11 3. 2x - 8 = 2

WARM UP 1 SOLVE THE EQUATION. (Lesson 3.6) 1. x + 9 = 12 2. x – 5 = 11 3. 2x - 8 = 2

WARM UP SOLVE THE EQUATION. (Lesson 3.6) 1. x + 9 = 12 2. x – 5 = 11 3. 2x - 8 = 2

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

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

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.

8.3 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!

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

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 12 6 3 3 2 3 4 3 8

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.

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!

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

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