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1.3 Exponential Functions Day 1

Explore exponential functions, growth, decay, and regression in calculus with examples and formulas. Learn to calculate investment growth, population predictions, and substance decay. Master rules for exponents and perform exponential regression using a calculator. Complete the assignment to practice concepts.

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1.3 Exponential Functions Day 1

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  1. 1.3 Exponential FunctionsDay 1 Date Calculus AB Ms. Brewer

  2. Vocab/Formulas • Exponential Growth: If b>1 • Exponential Decay: If 0<b<1

  3. Example 1: $100 is invested in 1996 at 5.5% interested compounded annually. How much will there be in 4 years?

  4. Rules for Exponents

  5. Example 2: Use the table and an exponential model to predict the population of the US in the year 2010. Calculator Way of Solving: Enter table into L1 and L2 Exponential Regression STAT CALC #10 EXP REG ENTER

  6. Example 3: The half-life of a substance is 20 days. If the initial amount was 5g, when will there be only 1 gram remaining?

  7. Assignment Pg. 26 3-36(by 3’s)

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