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3.1 Exponential FunctionsEssential Question:How do you write and graph exponential functions?

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Calculator!

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One-To-One Property:

Ex. 2) Solve.

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Exponential Functions

Domain:

Range:

Asymptote:

Intercept:("fixed point")

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Types of Exponential Functions

Growth:

Decay:

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Transformations

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Ex. 4) Graph.

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Ex. 5) Graph.

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The number "e"

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Growth and Decay with e

Growth:

Decay:

Asymptote:

Intercept:

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Ex. 8﴿ On the day of a child's birth, $25,000 is deposited into a trust fund that pays 8.25% interest.  What is the balance in this account on the child's 18th birthday if the interest isa﴿ compounded quarterly

b﴿ compounded monthly

c﴿ compounded continously

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Ex. 9﴿ In 2010, the current population of Visalia is approximately 125,921 people.  If the population is increasing at a rate of 4%, estimate the population in 2060.

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Assignment:

#22 p. 226 #4, 7­10, 13, 16, 28, 29, 35, 46, 48, 53, 58, 62, 67

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