I Know You Can Do ALGEBRA 2

Preface .......................................................................................................4
저자소개 .......................................................................................................5
이 책의 특징 ..................................................................................................5

1. Functions and Their Graphs......................................................................9
1.1 Functions and Their Properties....................................................... 10
1.2 Linear Functions......................................................................... 15
1.3 Transformations of Functions......................................................... 21
1.4 Absolute Value Functions.............................................................. 25

2. Quadratic Functions............................................................................... 31
2.1 Quadratic Functions..................................................................... 32
2.2 Quadratic Equations..................................................................... 36
2.3 Completing the Square.................................................................. 44
2.4 Complex Numbers....................................................................... 48

3. Polynomial Functions and Rational Functions...................................... 57
3.1 Polynomial Functions................................................................... 58
3.2 Synthetic Division and Long Division................................................ 66
3.3 Theorems for Determining Zeros of Polynomial Functions..................... 71
3.4 Rational Functions....................................................................... 77
3.5 Rational Expressions and Equations.................................................. 81
3.6 Polynomial and Rational Inequalities................................................. 86

4. Radical Functions and Equations........................................................... 91
4.1 Rational Exponents...................................................................... 92
4.2 Radical Functions and Equations...................................................... 96
4.3 Operations on Functions and Inverse Functions.................................. 104

5. Exponential Functions and Logarithmic Functions ............................ 113
5.1 Exponential Functions................................................................. 114
5.2 Functions involving e.................................................................. 119
5.3 Exponential Modeling.................................................................. 121
5.4 Logarithmic Functions.................................................................. 125
5.5 Properties of Logarithms............................................................... 133
5.6 Exponential and Logarithmic Equations............................................ 138
5.7 Compound Interest..................................................................... 142

6. Trigonometric Functions...................................................................... 145
6.1 Angle Measure........................................................................... 146
6.2 Trigonometry in Unit Circle........................................................... 151
6.3 Trigonometric Function Graphs...................................................... 157
6.4 Trigonometric Identities............................................................... 167
6.5 Inverse Trigonometric Functions.................................................... 177
6.6 Trigonometric Equations.............................................................. 184
6.7 Solving Triangles........................................................................ 188

7. Sequences and Series.......................................................................... 197
7.1 Sequences................................................................................ 198
7.2 Series...................................................................................... 204

8. Answer Key........................................................................................... 211

기혜연 (Liz Ki)

대학교에서 수학교육을 전공하여 탄탄한 수학이론과 전문적인 수학 교수법을 익혔고 이후 미국 버지니아 공립학교 및 한국 국제학교 교사로서 일하였다.
현재는 서울 강남 압구정 SAT, AP 유학전문학원에서 미국 명문 보딩스쿨 학생들과 국내 외국인 학교 및 국제학교 학생들을 가르치면서 수학교재 집필에 힘쓰고 있다.
한국어와 영어에 능통하고 동시에 한국 수학 및 국제학교 수학 과정 모두에 정통한 수준 높은 수학 강의로 정평이 나 있으며, AP Calculus와 SAT 만점자들의 강사이자 만점이 보장되는 선생님으로서 유명하다.
유학생 대상 인터넷 강의 1위인 마스터프렙(www.masterprep.net)과 압구정 메이커스
어학원(https://makersaca.com)에서 현장강의를 하면서 학생들과 활발한 소통을 하고 있다.