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Bellwork

Learn how to graph exponential growth and decay functions and simplify expressions using properties of radicals. Solve real-life problems using exponential models.

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Bellwork

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  1. Bellwork Determine whether the function is even, odd, or neither.

  2. Bellwork Use the properties of radicals to simplify the expression.

  3. Exponential and Logarithmic Functions Section 6.1

  4. What You Will Learn • Graph exponential growth and decay functions. • Use exponential models to solve real-life problems.

  5. An exponential function has the form y = a, where a ≠ 0 and the base b is a positive real number other than 1. If a > 0 and b > 1, then y = a is an exponential growth function, and b is called the growth factor. • The simplest type of exponential growth function has the form y = .

  6. Take Note

  7. Take Note

  8. Graphing Exponential Growth and Decay Functions

  9. You Try

  10. The value of a car y (in thousands of dollars) can be approximated by the model , where t is the number of years since the car was new. • a. Tell whether the model represents exponential growth or exponential decay. • b. Identify the annual percent increase or decrease in the value of the car. • c. Estimate when the value of the car will be $8000.

  11. Bellwork The value of a rare coin y (in dollars) can be approximated by the model where t is the number of years since the coin was minted. • Tell whether the model represents exponential growth or exponential decay. • What was the original value of the coin? • Estimate when the value of the coin will be $0.60.

  12. You Try

  13. Rewriting an Exponential Function

  14. You Try

  15. Take note https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/cont-comp-int-and-e/v/e-through-compound-interest

  16. Finding the Balance in an Account You deposit $9000 in an account that pays 1.46% annual interest. Find the balance after 3 years when the interest is compounded quarterly.

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