1. 8-1: Exponential Growth Objective CA 12: Students know the laws of fractional exponents, understanding exponential functions, and use these functions in problems involving exponential growth and decay.

3. x-3 2 -3 = 1/8 -2 2 -2 = ¼ 2 -1 = ½ 0 2 0 = 1 1 2 1 = 2 2 2 2 = 4 Question: What do you notice about the x-values and the f(x) values?

5. An asymptote is a line that a graph approaches as you move away from the origin.

6. Example 1: Graphing Exponential Functions of the Form y = ab x

10. To graph a general exponential function:

11. Example 2: Graphing a General Exponential Function

12. Begin by sketching the graph Plot :(0, 3)) and (1, 6).

13. Translate the graph 1 unit to the right and down 4 units

14. Homework: Page 469 #19-33 Odd Table of Values needed for credit

15. Investigating Graph of Exponential Functions page 465

22. Note the following about the graph. The graph passes through the point (0, a). The y- intercept is a. The x-axis is an asymptote of the graph. The domain is all real numbers. The range is y > 0 if a > 0 and y < 0 if a<0,