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7.1 Exponential Models Honors Algebra II. Exponential Growth: Graph.

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Presentation on theme: "7.1 Exponential Models Honors Algebra II. Exponential Growth: Graph."— Presentation transcript:

1 7.1 Exponential Models Honors Algebra II

2 Exponential Growth: Graph

3 Exponential Function: x is a real number a ≠ 0 b > 0 b ≠ 1 Examples:

4 Exponential Growth b > 1 y-intercept: Domain: Range: Asymptote:

5 Exponential Decay 0 < b < 1 y-intercept: Domain: Range: Asymptote:

6 Graph

7

8 b> 1 is growth factor 0 < b < 1 decay factor b = 1 + r r is rate of increase or decrease

9

10 You invested $1000 in a savings account at the end of 6 th grade. The account pays 5% annual interest. How much money will be in the account after six years?

11 Suppose you invest $1000 in a savings account that pays 5% annual interest. If you make no additional deposits or withdrawals, how many years will it take for the account to grow to at least $1500?

12 Writing Equations

13 Example 7: Writing Equations

14 Page 439 # 18 – 20, 25 – 28, 30 – 31


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