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Exponential Functions o Work on Exploration 1: Exponential Functions page 22 o Definition of Exponential Function o Graphs of Exponential Growth & Decay o Applications o Rules for Exponents o Quick Review Problem 1.3

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Exploration 1: Exponential Functions Please work on the exploration on page 22 in your textbooks.

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Analyzing Exponential Functions Answer questions 1, 2, & 3

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Analyzing Exponential Functions Answer question 6

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Exponential Function If, then defines the exponential function with base a and exponent x.

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Characteristics of Exponential Functions HA y=0 a>1 function is increasing 0
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Ex 1: Find the domain and range.

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Ex 2: Find the zeros of You should be able to answer this question using Graphing – Math:Zeros Algebraically Numerically – Graphing Calc (solve, zeros)

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Ex 3: Applications – Radioactive Decay Suppose the half-life of a certain radioactive substance is 20 days and that there are 5 grams present initially. When will there be only 1 gram of the substance remaining?

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Applications – Compound Interest Compounded Interest Interest Compounded Continuously

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Determine how much time is required for an investment to double in value if interest is earned at the rate of 6.25% A) compounded monthly. B) compounded continuously. Ex 3: Applications – Compound Interest

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Review from Algebra 1 & 2 Refresh your memory on the rules of exponents on page 23. Look at the problems in the Quick Review 1.3 on page 26. Do you have any questions??

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Exponential Functions 10.1. What You Will Learn How to graph exponential functions And how to solve exponential equations and inequalities.

Exponential Functions 10.1. What You Will Learn How to graph exponential functions And how to solve exponential equations and inequalities.

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