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

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Presentation transcript:

7.1 Exponential Models Honors Algebra II

Exponential Growth: Graph

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

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

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

Graph

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

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?

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?

Writing Equations

Example 7: Writing Equations

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