Intermediate Algebra – Student Workbook – Second Edition 2013

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

Lesson 2a – Linear Functions and Applications Mini-Lesson d) What do you notice about the Average Rates of Change for the function E(t)? e) On the grid below, draw a GOOD graph of E(t) with all appropriate labels. Because the Average Rate of Change is constant for these depreciation data, we say that a LINEAR FUNCTION models these data best. Does AVERAGE RATE OF CHANGE look familiar? It should! Another word for “average rate of change” is SLOPE. Given any two points, (x 1 , y 1 ), (x 2 , y 2 ), on a line, the slope is determined by computing the following ratio: y2 y1 change in y m = x x change in x Therefore, AVERAGE RATE OF CHANGE = SLOPE over a given interval. 2 1 Scottsdale Community College Page 56 Intermediate Algebra
Lesson 2a – Linear Functions and Applications Mini-Lesson Problem 3 MEDIA EXAMPLE – IS THE FUNCTION LINEAR? For each of the following, determine if the function is linear. If it is linear, give the slope. a) x -4 -1 2 8 12 23 42 y -110 -74 -38 34 82 214 442 b) x -1 2 3 5 8 10 11 y 5 -1 1 11 41 71 89 c) x -4 -1 2 3 5 8 9 y 42 27 12 7 -3 -18 -23 Recap – What Have We Learned So Far in this Lesson LINEAR FUNCTIONS are just LINEAR EQUATIONS written using FUNCTION NOTATION. f(x) = mx + b means the same thing as y = mx + b but the notation is slightly different. AVERAGE RATE of CHANGE means the same thing as SLOPE. Data sets that have a constant average rate of change (or we can say, constant rate of change), can best be modeled by LINEAR FUNCTIONS. Scottsdale Community College Page 57 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 4b - More on Logarithms This
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Lesson 4b - More on Logarithms Prac
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Lesson 5b - Solving Quadratic Equat
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Lesson 6a - Exponents and Rational
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Lesson 6b - Rational Exponents & Ra
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Lesson 6b - Rational Exponents and
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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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