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Bellwork

Explore exponential growth and decay functions, learn how to graph them, and use exponential models to solve real-life problems. Determine whether a function represents exponential growth or decay, identify the growth or decay factor, and estimate future values.

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Bellwork

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

  2. Exponential and Logarithmic Functions Section 6.1

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

  4. 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 = .

  5. Graphing Exponential Growth and Decay Functions

  6. You Try

  7. 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.

  8. You Try

  9. Rewriting an Exponential Function

  10. You Try

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

  12. 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.

  13. The Natural Base e • The history of mathematics is marked by the discovery of special numbers, such as π and i. Another special number is denoted by the letter e. The number is called the natural base e.

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