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# Alg2 lesson 10-1

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### Alg2 lesson 10-1

1. 1. An exponential function has the form <br />y = a (b)x<br />
2. 2. Sketch the graph of . Then state the function’s domain and range.<br />x<br />–2<br />–1<br />1<br />0<br />4<br />1<br />16<br />2<br />Exponential Growth<br />Domain: all real numbers<br />Range: all positive numbers<br />Example 1-1a<br />
3. 3. Graph <br />x<br />(0.7)x<br />–2<br />2.04<br />–1<br />1.43<br />1<br />0<br />0.7<br />1<br />0.49<br />2<br />Exponential decay<br />Example 1-2a<br />
4. 4. An exponential function has the form <br />y = a (b)x<br />Exponential growth: b > 1<br />Exponential decay: 0 < b < 1<br />
5. 5. Determine whether each function represents exponential growth or decay.<br />a.<br />b.<br />c.<br />Answer:exponentialdecay<br />Answer:exponential growth<br />Answer:exponential decay<br />Example 1-2d<br />
6. 6. Simplify .<br />Simplify .<br />Example 1-4a<br />
7. 7. Solve<br />Example 1-5a<br />
8. 8. Solve<br />Example 1-5c<br />