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# A28 1 exp growth no

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### A28 1 exp growth no

1. 1. Algebra 2<br />8.1Exponential Growth<br />Review: What is a function?<br />What types of functions have we learned so far?<br />An _______________________________________ function involves the expression bx.<br /><ul><li>The _______________(______) is a positive number other than 1.</li></ul>Graphing Exponential Functions<br />Graph the function fx=2x using a table of values.<br />                                                                                                    <br />xf(x)-3-2-10123<br />What do you notice about the differences among the graphs y=2x, y=13∙2x, y=3∙2x, and y=-2x?<br />What do you notice about the similarities among the graphs?<br />What about the graphs y=2x, y=2x+2, and y=2x-1?<br />What about the graphs y=2x, y=2x+2, and y=2x-1?<br />Graphing<br />y=abx-h+k<br />To graph:<br /><ul><li>Begin with the graph of y=a2x, which has a y-intercept at (______ , ______).
2. 2. Shift the graph _______________________________ k spaces.
3. 3. Shift the graph _______________________________ h spaces.
4. 4. Note that you are moving __________________________ of the sign in front of h.</li></ul>Graph the function y=3∙2x-1-4. State the domain and range.<br />                                                                                                    <br />Exponential Growth<br />When something increases by a fixed __________________________ each year (or time period), it can be modeled by the equation: ____________________________________<br /><ul><li>a is the ___________________________ amount.
5. 5. r is the interest ___________________________.
6. 6. t is the ____________________________.</li></ul>In January 1993, there were about 1,313,000 Internet hosts. During the next five years, the number of hosts increased by about 100% per year.<br /><ul><li>Write a model giving the number h (in millions) of hosts t years after 1993. About how many hosts were there in 1996?
7. 7. Graph the model.
8. 8. Use the graph to estimate the year when there were 30 million hosts.