U7 L7 Review completed.notebook 1 April 14, 2015 Unit 7: Exponential Functions Lesson 6: Review 1. 2. 3. 4. 5. 6. 7. 8.
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U7 L7 Review completed.notebook
1
April 14, 2015
Unit 7: Exponential Functions
Lesson 6: Review
1.
2.
3.
4.
5.
6.
7.
8.
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April 14, 2015
EX. 1. Simplify each expression to a single power. Express answers with posi ve exponents.
a) b) c)
d) e) f)
EX. 2. Write in exponen al form.
EX. 3. Write in radical form.
EX. 4. Evaluate
a) b) c)
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April 14, 2015
Difference Tables
Explain how to show that a table of values represents each type of func on.
Linear
Quadra c
Exponen al
EX. 1. Is this linear, quadra c or exponen al? If it is exponen al, is it an example of exponen al growth or decay? What is the constant ra o?
x y
0 0.25
1 1
2 4
3 16
4 64
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Exponen al Func ons: y = a b n
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
-8
-6
-4
-2
2
4
6
8
10
12
14
16
18
20
x
yx y
-2
-1
0
1
2
3
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Exponen al Growth & Decay
EX. 1. In 1985, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers has increased by 75% per year since 1985.
a) Write an equa on to model this growth where N(t) is the number of subscribers a er t years.
b) Determine the number of subscribers in 1998.
c) How many subscribers were there in 1980 (i.e. 5 years ago)?
d) A er how many years will there be 1,000,000,000 subscribers?
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EX. 2. The number of par cipants in a local tennis tournament can be modeled by the func on P(t) = 128 (0.5)t where P(t) is the number of par cipants a er t rounds of play.
a) How many par cipants entered in the tournament?
b) At what rate are par cipants eliminated a er each round?
c) A er how many rounds of play will the number of par cipants be half the original amount?
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