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Math 106 Exam 2 Study Guide - Study Guide for EXAM 2...

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Study Guide for EXAM 2 Chapter 1 (1.5-1.6) and Chapter 2 Math 106, Fall 2011 CHAPTER 1 Solving Quadratic Equations Understanding how to correctly apply the zero product property in solving quadratic equations in factor form Solving quadratic equations by taking square root, by factoring and by using quadratic formula Using the discriminant of a quadratic equation to identify the nature and number of solutions Practice Exercises pp. 52-55 (39, 41, 71, 77, 85, 95, 99, 105, 139, 141) Solving Other Types of Equations Solving polynomial equations–Factoring and grouping can be helpful Solving rational equations–Pay attention to extraneous roots Solving equations with radicals–Pay attention to extraneous roots Solving equations with rational exponents Solving equations in quadratic form Applications Practice Exercises pp. 66-69 (35, 41, 43, 55, 57, 59, 65, 75, 85, 89) CHAPTER 2 Rectangular Coordinates, Graphing Circles and other Relations Mid-point formula & Distance between two points in the plane Practice Problems pp. 94-95 (11, 27, 31, 41) Linear Equations Graphs
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Unformatted text preview:Graphs Horizontal and vertical lines Parallel and perpendicular lines Applications Practice problems p. 106 (25, 37, 43, 49, 50, 59, 75) & pp. 118-119 (37, 39, 49, 65, 67, 73, 85, 91, 109) Functions Domain & Range Average rate of change Practice Problems pp. 133-134 (13, 47, 49, 61, 65, 71, 81, 91, 95) Analyzing a Graph Symmetry- even and odd functions Intervals where positive or negative Intervals where increasing or decreasing Maxima & minima Rates of change and the difference quotient Practice problems pp. 151-155 (41, 43, 45, 47, 53, 65, 69, 71) Toolbox Functions and Transformations Toolbox functions Vertical and horizontal shifts Vertical and horizontal reflections Stretches and compressions Order of transformations Practice problems pp. 169-170 (65, 67, 69, 75, 77, 83, 87, 93, 97) Piece-wise defined Functions Domains, Graphing, & Applications Practice problems pp. 181-183 (19, 21, 29, 37) Algebra and Composition of Functions Sums, differences, products, and quotients Compositions Practice problems pp. 197-198 (39, 41, 45, 51, 55, 61, 73, 87)