The document discusses exponential functions and their real world applications. It shows how to use an exponential function to model the growth of mice over time, evaluates specific exponential functions, and demonstrates how to graph an exponential function using a graphing calculator.

1. Exploring Exponential Functions PH 8-1 Bitsy Griffin 05/29/09

2. Exponential Functions y = a ∙ b^x b > 0 & b ≠ 1 PH 8-1 Bitsy Griffin 05/29/09

3. Relating to the Real World Suppose that two mice live in a farmhouse. If the number of mice quadruple every three months, how many mice will be in the house after 2 years? We can make a table to see: PH 8-1 Bitsy Griffin 05/29/09

4. Relating to the Real World Initial amount: 3 months 6 months 9 months 1 year 1 year 3 months 1 year 6 months 1 year 9 months 2 years PH 8-1 Bitsy Griffin 05/29/09 2 8 32 128 512 2048 8192 32,768 131,072

5. Evaluate the exponential function Evaluate: y = 5^x for 2, 3, 4 y = 5^2 y = 25 y = 5^3 y = 125 y = 5^4 y = 625 PH 8-1 Bitsy Griffin 05/29/09

6. Evaluate the exponential function Evaluate: y = 4(3^x) for the domain {3, 6} y = 4(3^ 3) y = 108 y = 4(3^ 6) y = 2916 PH 8-1 Bitsy Griffin 05/29/09

7. Graph the exponential function Use your graphing calculator to help you. Put the equation in the function editor. Use the table function to choose several points to use for your graph. Then graph the function PH 8-1 Bitsy Griffin 05/29/09

8. Graph the exponential function f(x) = 1.5^x PH 8-1 Bitsy Griffin 05/29/09