Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 3a – Introduction to Exponential Functions Mini-Lesson Problem 3 MEDIA EXAMPLE – COMPARE LINEAR AND EXPONENTIAL GROWH For the example discussed in Problem 2, respond to the following: a) Symbolic representation (model) for each situation: A(t) = B(t) = C(t) = Type of function __________________ Type of function __________________ Type of function __________________ b) Provide a rough but accurate sketch of the graphs for each function on the same grid below: c) What are the practical domain and range for each function? Practical Domain Practical Range A(t): B(t): C(t): d) Based on the graphs, which option would give you the most money after 31 days? Scottsdale Community College Page 100 Intermediate Algebra
Lesson 3a – Introduction to Exponential Functions Mini-Lesson e) Let’s see if we can understand WHY option B grows so much faster. Let’s focus just on options A and B. Take a look at the data tables given for each function. Just the later parts of the initial table are provided. t = time in # of days A(t) = 1000t + 1000 A(t)= $ in account after t days 20 21,000 21 22,000 22 23,000 23 24,000 24 25,000 25 26,000 26 27,000 27 28,000 28 29,000 29 30,000 30 31,000 31 32,000 t = time in # of days B(t) = .01(2) t B(t) = $ in account after t days 20 10,485.76 21 20,971.52 22 41,943.04 23 83,886.08 24 167,772.16 25 335,544.32 26 671,088.64 27 1,342,177.28 28 2,684,354.56 29 5,368,709.12 30 10,737,418.24 31 21,474,836.48 As t increases from day 20 to 21, describe how the outputs change for each function: A(t): B(t): As t increases from day 23 to 24, describe how the outputs change for each function: A(t): B(t): So, in general, we can say as the inputs increase from one day to the next, then the outputs for each function: A(t): B(t): In other words, A(t) grows ______________ and B(t) grows ______________. We have just identified the primary difference between LINEAR FUNCTIONS and EXPONENTIAL FUNCTIONS. Exponential Functions vs. Linear Functions The outputs for Linear Functions change by ADDITION and the outputs for Exponential Functions change by MULTIPLICATION. Scottsdale Community College Page 101 Intermediate Algebra
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Scottsdale Community College Interm
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Table of Contents Lesson 1a - Intro
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Lesson 1a - Introduction to Functio
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Lesson 1b - Linear Equations In the
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Lesson 4b - More on Logarithms This
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Lesson 6a - Exponents and Rational
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Lesson 6b - Rational Exponents & Ra
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Appendix A: You Try Answers Lesson
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Appendix A: You Try Answers You Try
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Intermediate Algebra – Student Workbook – Second Edition 2013

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