1. Given the equation y = 650(1.075)x

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1. Given the equation y = 650(1.075)x Warm-up 1. Given the equation y = 650(1.075)x Does this equation represent growth or decay?_______ b) What is the growth factor? _____________ c) What is the rate of growth or decay? ______________ d) What is the initial value? _______________ e) Evaluate for x = 9 _______________

Warm-up Describe the transformations Is this a growth or decay model?

Simplify the following exponential Warm-Up Simplify the following exponential

Homework Review

Topics for Unit 4 Simplifying Exponents Solving Exponential Equations Characteristics of Functions Properties – domain and range, increasing and decreasing, intercepts, asymptotes, end behavior Rate of Change Transformations Geometric Sequences vs. Exponential Functions Word Problems Growth and Decay Models

It's time for some Trashketball!!!

Simplify the following exponential 1.

Simplify. 2.

Solve the exponential equation 3.

Write an explicit rule and find the 6th term 4.

State the Domain and Range 5.

Find the domain and range of the graph. 6.

What is the x-intercept? y-intercept? What is the asymptote? 7. What is the x-intercept? y-intercept?

Describe the transformations. f(x) = 3(2)x + 1 8.

Write an equation of an exponential with a base of 5 given the following transformations: 9. f(x)= - (5)x – 4 - 3

10. The tuition at a private college is $15,000 and has about a 7.2% annual increase. a) Write an exponential equation describing this situation. b) How much will the tuition be 5 years from now? y = 15,000(1.072)x $21,235.63

11. You purchase a stereo system for $830. The value of the stereo system decreases 13% each year. Write an exponential equation describing the situation. b) What is the value of the system in 3 years? y = 830(.87)x $546.56

HOMEWORK Review Sheet Study!!!