Obj: Evaluate and graph exponential functions. Use compound formulas. Warm up 1.Find the limit. x100100010,00050,000100,000150,000 y.

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Obj: Evaluate and graph exponential functions. Use compound formulas. Warm up 1.Find the limit. x ,00050,000100,000150,000 y

Exponential Growth

Exponential decay

Exponential Decay

Exponential functions: ; Exploration 1.Graph. window [-2, 2] by [-1, 6] a. b. c. Which point is common to all four graphs? Analyze the functions. 2.Graph. a. b. c. Which point is common to all four graphs? Analyze the functions.

Example 1 Graph using transformations. a. +1 b. c.

What is compound interest?

Example 2 You applied for a student loan. You were approved $100 at a 1% interest rate. The interest is compounded once a month. What is the total amount that you will owe after 3 months?

Example 3 A sum of $1000 is invested at an interest rate of 12% per year. Find the amounts in the account after 3 years if the interest is compounded: Annually Semiannually Quarterly Monthly Daily

Example 4 Find the amount after 3 years if $1000 is invested at an interest rate of 12% per year compounded continuously.