1. An exponential function has the form y = a (b)x

2. Sketch the graph of . Then state the function’s domain and range. x –2 –1 1 0 4 1 16 2 Exponential Growth Domain: all real numbers Range: all positive numbers Example 1-1a

3. Graph x (0.7)x –2 2.04 –1 1.43 1 0 0.7 1 0.49 2 Exponential decay Example 1-2a

4. An exponential function has the form y = a (b)x Exponential growth: b > 1 Exponential decay: 0 < b < 1

5. Determine whether each function represents exponential growth or decay. a. b. c. Answer:exponentialdecay Answer:exponential growth Answer:exponential decay Example 1-2d

6. Simplify . Simplify . Example 1-4a

7. Solve Example 1-5a

8. Solve Example 1-5c