Preface 2 저자 소개 3 이 책의 구성과 특징 4 Topic 1 Real Number System 1.1 Properties of Real Numbers............................................... 10 1.2 Real Number Line.............................................................. 12 1.3 Algebraic Expressions....................................................... 15 1.4 Solving Linear Equations and Word Problems................... 17 1.5 Solving Inequalities........................................................... 19 1.6 Compound Inequality........................................................ 20 1.7 Absolute Value................................................................... 21 Topic 2 Function and Linear Graph 2.1 Relation and Function........................................................ 32 2.2 Direct Variation.................................................................. 34 2.3 Linear Function and Slope-Intercept Form........................ 36 2.4 Perpendicular and Parallel Lines........................................ 39 2.5 Transformation of Linear Function.................................... 41 2.6 Absolute Value Function and Graph.................................. 43 2.7 Two-Variable Inequalities.................................................. 45 Topic 3 System of Equations and Inequalities 3.1 System of Linear Equations............................................... 58 3.2 Two Methods : Substitution and Elimination..................... 61 3.3 System of Linear Inequalities............................................ 64 3.4 Linear Programming.......................................................... 66 3.5 System of Equations in 3 Variables.................................... 70 3.6 Matrices............................................................................. 73 3.7 Multiplication of Matrix.................................................... 75 Topic 4 Quadratic Equations and Factoring 4.1 Quadratic Function............................................................ 86 4.3 Standard Form of a Quadratic Functions........................... 93 4.4 Completing the Square....................................................... 95 4.5 Quadratic Formula............................................................. 97 4.6 Complex Numbers............................................................. 99 4.7 Application of Quadratic Function and Equations............. 102 4.8 Quadratic Inequalities........................................................ 106 Topic 5 Polynomials and Polynomial Function 5.1 Classification of Polynomials............................................ 118 5.2 End-Behavior of Polynomial Function.............................. 120 5.3 The Shape of Cubic Graph................................................. 121 5.4 Table Values and Polynomial Degrees............................... 122 5.5 Finding x-intercepts........................................................... 123 5.6 Finding Zeros..................................................................... 124 5.7 Given Zeros....................................................................... 125 Topic 6 Application of Polynomials 6.1 Factorization...................................................................... 132 6.2 Long Division.................................................................... 134 6.3 Factor Theorem.................................................................. 136 6.4 Synthetic Division............................................................. 137 6.5 Rational Root Theorem...................................................... 139 6.6 Two guidelines for finding roots........................................ 141 Topic 7 Radical Expression and Radical Function 7.1 Introduction to Radicals..................................................... 148 7.2 Multiplying Radical Expressions....................................... 152 7.3 Rational Exponents............................................................ 157 7.4 Solving Radical Equations................................................. 159 7.5 Radical Function................................................................ 162 Topic 8 Rational Expression and Rational Function 8.1 Inverse Variation................................................................ 176 8.2 Graphs of Rational Functions............................................ 179 8.3 Reciprocal Function........................................................... 181 8.4 Hole or Vertical Asymptote................................................ 183 8.5 Rational Inequality............................................................. 184 8.6 Word Problems.................................................................. 185 8.7 Solving Rational Equations................................................ 186 Topic 9 Exponential and Logarithmic Expressions and Functions 9.1 Exponential Function......................................................... 198 9.2 Exponential Equation......................................................... 200 9.3 Logarithmic Function........................................................ 204 9.4 Logarithmic Equation........................................................ 205 9.5 Using Logarithm to Solve Equations................................. 209 Topic 10 Sequence and Series 10.1 Sequence............................................................................ 222 10.2 Arithmetic Sequence and Series........................................ 223 10.3 Geometric Sequence and Series......................................... 225 10.4 Arithmetic Mean and Geometric Mean.............................. 228 10.5 Difference Sequence.......................................................... 229 10.6 The Σ Notation................................................................... 231 Topic 11 Counting : Permutation and Combination 11.1 From a to b......................................................................... 242 11.2 Multiplication Principle..................................................... 243 11.3 Permutation : Counting Successive Events........................ 248 11.4 Principle of Addition.......................................................... 252 11.5 Combination : Another Tool for Overcounts...................... 255 11.6 Permutation vs. Combination............................................. 258 11.7 Binomial Theorem............................................................. 260 Topic 12 Probability 12.1 Probability......................................................................... 270 12.2 Probability and Tree Diagrams.......................................... 281 Topic 13 Probability Distribution Functions 13.1 Discrete Random Variable................................................. 294 13.2 Binomial Distribution........................................................ 296 13.3 Normal Distribution........................................................... 300 Solution Manual 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