Algebra 2/TrigonometryName: Unit 7 – Section 8.1, 8.2Date: _ Exponential Functions and Their Graphs.

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Algebra 2/TrigonometryName: __________________________ Unit 7 – Section 8.1, 8.2Date: ___________________________ Exponential Functions and Their Graphs Definition of Exponential Function: _________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ Evaluating Exponential Functions: Example 1: Example 2: xy HA: ___________ xy HA: ___________ Properties of Parent Functions Recall: Transformations of Parent Graphs Similarities: Example 2: f(x) = 4 x Example 1: f(x) = 2 x Example 3: f(x) = 3 x + 1 Example 4: f(x) = 3 x – 2 xy Transformation of Parent Graph: HA: ___________ xy Transformation of Parent Graph: HA: ___________

Example 5: f(x) = 3 x - 2 Example 6: f(x) = -3 x xy Transformation of Parent Graph: HA: ___________ xy Transformation of Parent Graph: HA: ___________ xy Transformation of Parent Graph: HA: ___________ xy Transformation of Parent Graph: HA: ___________ Example 7: f(x) = 2 -x Example 8: f(x) = 4 -x

Algebra 2/TrigonometryName: __________________________ Section 8.1, 8.2 Compounding Interest NotesDate: ___________________________ Example: A petri dish contains 1 million bacteria and it doubles in population every day. Suppose the same petri dish starts with 3 million bacteria and doubles in population every day. Equation: How many bacteria are there after 10 days? Equation: How many bacteria are there after 10 days? Suppose the same petri dish starts with 16 million bacteria and each day, the population is cut in half. Equation: How many bacteria are there after 8 days? Exponential Growth In 1990, the cost of tuition at a state university was $4,300. During the next 8 years, the tuition rose 4% each year. a)Write an equation that models the situation. b) Determine the cost of tuition in c)Determine the cost of tuition in d)How many years after 1990 will it take for tuition costs to double?

Exponential Decay You purchase a car for $40,000, and it depreciates in value at a rate of 11% each year. a)Write an equation to represent the situation. b) Find the approximate value of your car after 8 years. Example - A total of $9,000 is invested at an annual interest rate of 6%. Find the balance after 5 years if it is compounded… a.annually b. monthly c. daily Compounding Interest Formulas Example - A total of $1,500 is invested at an annual interest rate of 5.25%. Determine the interest accrued after 3 years if it is compounded… a.Semi-annually b. Quarterly c. Weekly Class work: Working with your Black Partner, complete the table (on a separate piece of paper) using the given problem situation. Show all work and round any answers to the nearest hundredth (nearest cent). You will be turning this in!! CompoundedInterest EarnedValue of Account Annually Monthly Weekly Daily Hourly Imagine you were given $10,000 for graduation from high school. If you invested that amount into an account that yields an APR of 4.5% and left the money in your investment for the next 10 years, how much money would you have? How much interest would you accrue?