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A28 1 exp growth slides

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A28 1 exp growth slides

1. 1. Exponential Growth<br />Algebra 2<br />8.1<br />p. 465<br />
2. 2. <ul><li>What is a function?
3. 3. What types of functions have we learned so far?</li></ul>Review<br />
4. 4. An exponential function involves the expression bx.<br />
5. 5. An exponential function involves the expression bx.<br />The base (b) is a positive number other than 1.<br />
6. 6. Graphing Exponential Functions<br />
7. 7. Plug in x.<br />Plot each point (x, f(x)).<br />Graphing Exponential Functions<br />
8. 8. Plug in x.<br />Plot each point (x, f(x)).<br />Graphing Exponential Functions<br />
9. 9. Plug in x.<br />Plot each point (x, f(x)).<br />Graphing Exponential Functions<br />
10. 10. Graphing Exponential Functions<br />
11. 11. Graphing Calculator Comparisons<br />
12. 12. Graph y = a2x, which has a y-intercept at (0, a).<br />y = abx-h + k<br />
13. 13. Graph y = a2x, which has a y-intercept at (0, a).<br />Shift the graph vertically kspaces.<br />y = abx-h + k<br />
14. 14. Graph y = a2x, which has a y-intercept at (0, a).<br />Shift the graph vertically kspaces.<br />Shift the graph horizontally hspaces.<br /><ul><li>Note that you are moving opposite the sign in front of h.</li></ul>y = abx-h + k<br />
15. 15. When something increases by a fixed percent each year (or time period), it can be modeled by the equation:<br />Exponential Growth<br />
16. 16. <ul><li>a is the initial amount</li></ul>Exponential Growth<br />
17. 17. <ul><li>a is the initial amount
18. 18. r is the interest rate</li></ul>Exponential Growth<br />
19. 19. <ul><li>a is the initial amount
20. 20. r is the interest rate
21. 21. t is the time</li></ul>Exponential Growth<br />