Functions Modeling Change / Class Notes for Math 125 Precalculus (3 SPI UNBN)

Functions Modeling Change / Class Notes for Math 125 Precalculus (3 SPI UNBN)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 598 p.
  • 言語 ENG
  • 商品コード 9780471937258
  • DDC分類 515

Table of Contents

    1 Linear Functions And Change                  1  (60)
1.1 Functions And Function Notation 2 (8)
1.2 Rate Of Change 10 (7)
1.3 Linear Functions 17 (10)
1.4 Formulas For Linear Functions 27 (8)
1.5 Geometric Properties Of Linear 35 (9)
Functions
1.6 Fitting Linear Functions To Data 44 (17)
Review Problems 50 (3)
Check Your Understanding 53 (2)
Tools For Chapter 1 Linear Equations 55 (6)
And The Coordinate Plane
2 Functions 61 (44)
2.1 Input And Output 62 (7)
2.2 Domain And Range 69 (4)
2.3 Piecewise Defined Functions 73 (6)
2.4 Composite And Inverse Functions 79 (5)
2.5 Concavity 84 (4)
2.6 Quadratic Functions 88 (17)
Review Problems 94 (3)
Check Your Understanding 97 (2)
Tools For Chapter 2 Quadratic Equations 99 (6)
3 Exponential Functions 105(46)
3.1 Introduction To The Family Of 106(9)
Exponential Functions
3.2 Comparing Exponential And Linear 115(7)
Functions
3.3 Graphs Of Exponential Functions 122(8)
3.4 Continuous Growth And The Number e 130(6)
3.5 Compound Interest 136(15)
Review Problems 141(4)
Check Your Understanding 145(1)
Tools For Chapter 3 Exponents 146(5)
4 Logarithmic Functions 151(42)
4.1 Logarithms And Their Properties 152(7)
4.2 Logarithms And Exponential Models 159(8)
4.3 The Logarithmic Function 167(8)
4.4 Logarithmic Scales 175(18)
Review Problems 185(3)
Check Your Understanding 188(1)
Tools For Chapter 4 Logarithms 189(4)
5 Transformations Of Functions And Their 193(50)
Graphs
5.1 Vertical And Horizontal Shifts 194(8)
5.2 Reflections And Symmetry 202(9)
5.3 Vertical Stretches And Compressions 211(8)
5.4 Horizontal Stretches And Compressions 219(6)
5.5 The Family Of Quadratic Functions 225(18)
Review Problems 233(4)
Check Your Understanding 237(2)
Tools For Chapter 5 Completing The 239(4)
Square
6 Trigonometric Functions 243(64)
6.1 Introduction To Periodic Functions 244(6)
6.2 The Sine And Cosine Functions 250(7)
6.3 Radians 257(6)
6.4 Graphs Of The Sine And Cosine 263(6)
6.5 Sinusoidal Functions 269(10)
6.6 Other Trigonometric Functions 279(6)
6.7 Inverse Trigonometric Functions 285(22)
Review Problems 295(4)
Check Your Understanding 299(2)
Tools For Chapter 6 Right Triangles 301(6)
7 Trigonometry 307(46)
7.1 General Triangles: Laws Of Sines And 308(5)
Cosines
7.2 Trigonometric Identities 313(7)
7.3 Sum And Difference Formulas For Sine 320(7)
And Cosine
7.4 Trigonometric Models 327(9)
7.5 Polar Coordinates 336(5)
7.6 Complex Numbers And Polar Coordinates 341(12)
Review Problems 348(3)
Check Your Understanding 351(2)
8 Compositions, Inverses, And Combinations 353(34)
Of Functions
8.1 Composition Of Functions 354(8)
8.2 Inverse Functions 362(11)
8.3 Combinations Of Functions 373(14)
Review Problems 382(3)
Check Your Understanding 385(2)
9 Polynomial And Rational Functions 387(60)
9.1 Power Functions 388(8)
9.2 Polynomial Functions 396(6)
9.3 The Short-Run Behavior Of Polynomials 402(7)
9.4 Rational Functions 409(6)
9.5 The Short-Run Behavior Of Rational 415(8)
Functions
9.6 Comparing Power, Exponential, And Log 423(5)
Functions
9.7 Fitting Exponentials And Polynomials 428(19)
To Data
Review Problems 435(4)
Check Your Understanding 439(2)
Tools For Chapter 9 Algebraic Fractions 441(6)
10 Vectors And Matrices 447(40)
10.1 Vectors 448(8)
10.2 The Components Of A Vector 456(5)
10.3 Application Of Vectors 461(7)
10.4 The Dot Product 468(6)
10.5 Matrices 474(13)
Review Problems 483(3)
Check Your Understanding 486(1)
11 Sequences And Series 487(28)
11.1 Sequences 488(5)
11.2 Defining Functions Using Sums: 493(7)
Arithmetic Series
11.3 Finite Geometric Series 500(5)
11.4 Infinite Geometric Series 505(10)
Review Problems 511(2)
Check Your Understanding 513(2)
12 Parametric Equations And Conic Sections 515(44)
12.1 Parametric Equations 516(9)
12.2 Implicitly Defined Curves And Circles 525(4)
12.3 Ellipses 529(4)
12.4 Hyperbolas 533(4)
12.5 Geometric Properties Of Conic 537(15)
Sections
12.6 Hyperbolic Functions 552(7)
Review Problems 556(2)
Check Your Understanding 558(1)
Answers To Odd-Numbered Problems 559(30)
Index 589