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McGraw Hill Glencoe Precalculus with applications, 2005
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McGraw-Hill Education
McGraw Hill Glencoe Precalculus with applications, 2005
Publisher: McGraw Hill Education
ISBN: 9780078682278
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1
Chapter 1
Linear Relations and Functions
p. 8-61
1.1
Relations and Functions
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p. 8-61
1.2
Composition of Functions
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p. 8-61
1.3
Graphing Linear Equations
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p. 8-61
1.3b
Analyzing Families of Linear Graphs
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p. 8-61
1.4
Writing Linear Equations
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p. 8-61
1.5
Writing Equations of Parallel and Perpendicular Lines
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p. 8-61
1.6
Modeling Real-World Data with Linear Functions
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p. 8-61
1.7
Piecewise Functions
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p. 8-61
1.8
Graphing Linear Inequalities
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p. 8-61
1.
Study Guide and Assessment
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p. 8-61
1.
SAT and ACT Preparation
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2
Chapter 2
System of Linear Equations and Inequalities
p. 69-123
2.1
Solving Systems of Equations in Two Variables
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p. 69-123
2.2
Solving Systems of Equations in Three Variables
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p. 69-123
2.3
Modeling Real-World Data with Matrices
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p. 69-123
2.4a
Transformation Matrices
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p. 69-123
2.4
Modeling Motion with Matrices
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p. 69-123
2.5
Determinants and Multiplicative Inverses of Matrices
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p. 69-123
2.5b
Argumented Matrices and Reduced Row-Echelon Form
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p. 69-123
2.6
Solving Systems of Linear Inequalities
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p. 69-123
2.7
Linear Programming
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p. 69-123
2.
Study Guide and Assessment
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p. 69-123
2.
SAT and ACT Preparation
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3
Chapter 3
The Nature of Graphs
p. 133-201
3.1
Symmetry and Coordinate Graphs
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p. 133-201
3.2
Families of Graphs
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p. 133-201
3.3
Graphs of Nonlinear Inequalities
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p. 133-201
3.4
Inverse Functions and Relations
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p. 133-201
3.5
Continuity and End Behavior
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p. 133-201
3.5b
Gap Discontinuities
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p. 133-201
3.6
Critical Points and Extrema
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p. 133-201
3.7
Graphs of Rational Functions
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p. 133-201
3.8
Direct, Inverse, and Joint Variation
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p. 133-201
3.
Study Guide and Assessment
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p. 133-201
3.
SAT and ACT Preparation
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4
Chapter 4
Polynomial and Rational Functions
p. 209-271
4.1
Polynomial Functions
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p. 209-271
4.2
Quadratic Equations
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p. 209-271
4.3
The Remainder and Factor Theorems
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p. 209-271
4.4
The Rational Root Theorem
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p. 209-271
4.5
Locating Zeros of a Polynomial Function
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p. 209-271
4.6
Rational Equations and Partial Fractions
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p. 209-271
4.7
Radical Equations and Inequalities
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p. 209-271
4.8
Modeling Real-World Data with Polynomial Functions
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p. 209-271
4.8b
Fitting a Polynomial Function to a set of Points
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p. 209-271
4.
Study Guide and Assessment
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p. 209-271
4.
SAT and ACT Preparation
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5
Chapter 5
The Trigonometric Functions
p. 280-339
5.1
Angles and Degree Measure
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p. 280-339
5.2
Trigonometric Ratios in Right Triangles
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p. 280-339
5.3
Trigonometric Functions on the Unit Circle
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p. 280-339
5.4
Applying Trigonometric Functions
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p. 280-339
5.5
Solving Right Triangles
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p. 280-339
5.6
The Law of Sines
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p. 280-339
5.7
The Ambiguous Case for the Law of Sines
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p. 280-339
5.8
The Law of Cosines
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p. 280-339
5.8b
Solving Triangles
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p. 280-339
5.
Study Guide and Assessment
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p. 280-339
5.
SAT and ACT Preparation
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6
Chapter 6
Graphs of Trigonometric Functions
p. 347-417
6.1
Angles and Radian Measure
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p. 347-417
6.2
Linear and Angular Velocity
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p. 347-417
6.3
Graphing Sine and Cosine Functions
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p. 347-417
6.4
Amplitude and Period of Sine and Cosine Functions
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p. 347-417
6.5
Translations of Sine and Cosine Functions
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p. 347-417
6.6
Modeling Real-World Data with Sinusoidal Functions
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p. 347-417
6.7
Graphing Other Trigonometric Functions
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p. 347-417
6.7b
Sound Beats
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p. 347-417
6.8
Trigonometric Inverses and Their Graphs
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p. 347-417
6.
Study Guide and Assessment
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p. 347-417
6.
SAT and ACT Preparation
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7
Chapter 7
Trigonometric Identities and Equations
p. 427-529
7.1
Basic Trigonometric Identities
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p. 427-529
7.2
Verifying Trigonometric Identities
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p. 427-529
7.3
Sum and Difference Identities
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p. 427-529
7.3b
Reduction Identities
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p. 427-529
7.4
Double-Angle and Half-Angle Identities
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p. 427-529
7.5
Solving Trigonometric Equations
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p. 427-529
7.6
Normal Form of a Linear Equation
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p. 427-529
7.7
Distance From a Point to a Line
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p. 427-529
7.
Study Guide and Assessment
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p. 427-529
7.
SAT and ACT Preparation
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8
Chapter 8
Vectors and Parametric Equations
p. 490-547
8.1
Geometric Vectors
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p. 490-547
8.2
Algebraic Vectors
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p. 490-547
8.3
Vectors in Three-Dimensional Space
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p. 490-547
8.4
Perpendicular Vectors
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p. 490-547
8.4b
Finding Cross Products
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p. 490-547
8.5
Applications with Vectors
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p. 490-547
8.6
Vectors and Parametric Equations
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p. 490-547
8.6b
Modeling with Parametric Equations
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p. 490-547
8.7
Modeling Motion Using Parametric Equations
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p. 490-547
8.8
Transformation Matrices in Three-Dimensional Space
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p. 490-547
8.
Study Guide and Assesment
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p. 490-547
8.
SAT and ACT Preparation
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9
Chapter 9
Polar Coordinates and Complex Numbers
p. 557-611
9.1
Polar Coordinates
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p. 557-611
9.2
Graphs of Polar Equations
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p. 557-611
9.3
Polar and Rectangular
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p. 557-611
9.4
Polar Form of Linear Equation
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p. 557-611
9.5
Simplifying Complex Numbers
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p. 557-611
9.6
The Complex Plane and Polar Form of Complex Numbers
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p. 557-611
9.6b
Geometry in the Complex Plane
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p. 557-611
9.7
Products and Quotuents of Complex Numbers in Polar Form
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p. 557-611
9.8
Powers and Roots of Complex Numbers
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p. 557-611
9.
Study Guide and Assessment
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p. 557-611
9.
SAT and ACT Preparation
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10
Chapter 10
Conics
p. 619-691
10.1
Introduction to Analytic Geometry
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p. 619-691
10.2
Circles
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p. 619-691
10.3
Ellipses
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p. 619-691
10.4
Hyperbolas
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p. 619-691
10.5
Parabolas
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p. 619-691
10.6
Rectangular and Parametric Forms of Conic Sections
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p. 619-691
10.7
Transformations of Conics
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p. 619-691
10.8
Systems of Second-Degree Equations and Inequalities
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p. 619-691
10.8b
Shading Areas on a Graph
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p. 619-691
10.
Study Guide and Assessment
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p. 619-691
10.
SAT and ACT Preparation
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11
Chapter 11
Exponential and Logarithmic Functions
p. 695-753
11.1
Real Exponents
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p. 695-753
11.2
Exponential Functions
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p. 695-753
11.3
The Number e
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p. 695-753
11.4
Logarithmic Functions
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p. 695-753
11.5
Common Logarithms
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p. 695-753
11.6
Natural Logarithms
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p. 695-753
11.6b
Natural Logarithms and Area
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p. 695-753
11.7
Modeling Real-World Data with Experimental and Logarithmic Functions
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p. 695-753
11.
Study Guide and Assessment
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p. 695-753
11.
SAT and ACT Preparation
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12
Chapter 12
Sequences and Series
p. 762-833
12.1
Arithmetic Sequences and Series
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p. 762-833
12.2
Geometric Sequences and Series
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p. 762-833
12.3
Infinite Sequences and Series
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p. 762-833
12.3b
Continued Fractions
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p. 762-833
12.4
Convergent and Divergent Series
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p. 762-833
12.5
Sigma Notation and the n-th Term
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p. 762-833
12.6
The Binomial Theorem
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p. 762-833
12.7
Special Sequences and Series
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p. 762-833
12.8
Sequences and Iteration
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p. 762-833
12.9
Mathematical Induction
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p. 762-833
12.
Study Guide and Assessment
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p. 762-833
12.
SAT and ACT Preparation
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13
Chapter 13
Combinatorics and Probability
p. 842-885
13.1
Permutations and Combinations
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p. 842-885
13.2
Permutations with Repetitions and Circular Permutations
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p. 842-885
13.3
Probablility and Odds
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p. 842-885
13.4
Probabilities of Compound Events
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p. 842-885
13.5
Conditional Probability
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p. 842-885
13.6
The Binomial Theorem and Probability
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p. 842-885
13.
Study Guide and Assessment
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p. 842-885
13.
SAT and ACT Preparation
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14
Chapter 14
Statistics and Data Analysis
p. 892-937
14.1
The Frequency Distribution
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p. 892-937
14.2
Measures of Central Tendency
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p. 892-937
14.3
Measures of Variability
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p. 892-937
14.4
The Normal Distribution
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p. 892-937
14.4b
The Standard Normal Curve
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p. 892-937
14.5
Sample Sets of Data
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p. 892-937
14.
Study Guide and Assessment
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p. 892-937
14.
SAT and ACT Preparation
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15
Chapter 15
Calculus
p. 945-981
15.1
Limits
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p. 945-981
15.2a
The Slope of a Curve
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p. 945-981
15.2
Derivatives and Antiderivatives
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p. 945-981
15.3
Area Under a Curve
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p. 945-981
15.4
The Fundamental Theorem of Calculus
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p. 945-981
15.
Study Guide and Assessment
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p. 945-981
15.
SAT and ACT Preparation
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Chapter
Extra Practice
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Lesson 1-1
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Chapter
Chapter Tests
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Chapter 1 Test
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Chapter 3 Test
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Chapter 4 Test
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Chapter 5 Test
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Links
expand_more
Linear Relations and Functions
Relations and Functions
Composition of Functions
Graphing Linear Equations
Analyzing Families of Linear Graphs
Writing Linear Equations
Writing Equations of Parallel and Perpendicular Lines
Modeling Real-World Data with Linear Functions
Piecewise Functions
Graphing Linear Inequalities
Study Guide and Assessment
SAT and ACT Preparation
System of Linear Equations and Inequalities
Solving Systems of Equations in Two Variables
Solving Systems of Equations in Three Variables
Modeling Real-World Data with Matrices
Transformation Matrices
Modeling Motion with Matrices
Determinants and Multiplicative Inverses of Matrices
Argumented Matrices and Reduced Row-Echelon Form
Solving Systems of Linear Inequalities
Linear Programming
Study Guide and Assessment
SAT and ACT Preparation
The Nature of Graphs
Symmetry and Coordinate Graphs
Families of Graphs
Graphs of Nonlinear Inequalities
Inverse Functions and Relations
Continuity and End Behavior
Gap Discontinuities
Critical Points and Extrema
Graphs of Rational Functions
Direct, Inverse, and Joint Variation
Study Guide and Assessment
SAT and ACT Preparation
Polynomial and Rational Functions
Polynomial Functions
Quadratic Equations
The Remainder and Factor Theorems
The Rational Root Theorem
Locating Zeros of a Polynomial Function
Rational Equations and Partial Fractions
Radical Equations and Inequalities
Modeling Real-World Data with Polynomial Functions
Fitting a Polynomial Function to a set of Points
Study Guide and Assessment
SAT and ACT Preparation
The Trigonometric Functions
Angles and Degree Measure
Trigonometric Ratios in Right Triangles
Trigonometric Functions on the Unit Circle
Applying Trigonometric Functions
Solving Right Triangles
The Law of Sines
The Ambiguous Case for the Law of Sines
The Law of Cosines
Solving Triangles
Study Guide and Assessment
SAT and ACT Preparation
Graphs of Trigonometric Functions
Angles and Radian Measure
Linear and Angular Velocity
Graphing Sine and Cosine Functions
Amplitude and Period of Sine and Cosine Functions
Translations of Sine and Cosine Functions
Modeling Real-World Data with Sinusoidal Functions
Graphing Other Trigonometric Functions
Sound Beats
Trigonometric Inverses and Their Graphs
Study Guide and Assessment
SAT and ACT Preparation
Trigonometric Identities and Equations
Basic Trigonometric Identities
Verifying Trigonometric Identities
Sum and Difference Identities
Reduction Identities
Double-Angle and Half-Angle Identities
Solving Trigonometric Equations
Normal Form of a Linear Equation
Distance From a Point to a Line
Study Guide and Assessment
SAT and ACT Preparation
Vectors and Parametric Equations
Geometric Vectors
Algebraic Vectors
Vectors in Three-Dimensional Space
Perpendicular Vectors
Finding Cross Products
Applications with Vectors
Vectors and Parametric Equations
Modeling with Parametric Equations
Modeling Motion Using Parametric Equations
Transformation Matrices in Three-Dimensional Space
Study Guide and Assesment
SAT and ACT Preparation
Polar Coordinates and Complex Numbers
Polar Coordinates
Graphs of Polar Equations
Polar and Rectangular
Polar Form of Linear Equation
Simplifying Complex Numbers
The Complex Plane and Polar Form of Complex Numbers
Geometry in the Complex Plane
Products and Quotuents of Complex Numbers in Polar Form
Powers and Roots of Complex Numbers
Study Guide and Assessment
SAT and ACT Preparation
Conics
Introduction to Analytic Geometry
Circles
Ellipses
Hyperbolas
Parabolas
Rectangular and Parametric Forms of Conic Sections
Transformations of Conics
Systems of Second-Degree Equations and Inequalities
Shading Areas on a Graph
Study Guide and Assessment
SAT and ACT Preparation
Exponential and Logarithmic Functions
Real Exponents
Exponential Functions
The Number e
Logarithmic Functions
Common Logarithms
Natural Logarithms
Natural Logarithms and Area
Modeling Real-World Data with Experimental and Logarithmic Functions
Study Guide and Assessment
SAT and ACT Preparation
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
Infinite Sequences and Series
Continued Fractions
Convergent and Divergent Series
Sigma Notation and the n-th Term
The Binomial Theorem
Special Sequences and Series
Sequences and Iteration
Mathematical Induction
Study Guide and Assessment
SAT and ACT Preparation
Combinatorics and Probability
Permutations and Combinations
Permutations with Repetitions and Circular Permutations
Probablility and Odds
Probabilities of Compound Events
Conditional Probability
The Binomial Theorem and Probability
Study Guide and Assessment
SAT and ACT Preparation
Statistics and Data Analysis
The Frequency Distribution
Measures of Central Tendency
Measures of Variability
The Normal Distribution
The Standard Normal Curve
Sample Sets of Data
Study Guide and Assessment
SAT and ACT Preparation
Calculus
Limits
The Slope of a Curve
Derivatives and Antiderivatives
Area Under a Curve
The Fundamental Theorem of Calculus
Study Guide and Assessment
SAT and ACT Preparation
Extra Practice
Lesson 1-1
Lesson 1-2
Lesson 1-3
Lesson 1-4
Lesson 1-5
Lesson 1-6
Lesson 1-7
Lesson 1-8
Lesson 2-1
Lesson 2-2
Lesson 2-3
Lesson 2-4
Lesson 2-5
Lesson 2-6
Lesson 2-7
Lesson 3-1
Lesson 3-2
Lesson 3-3
Lesson 3-4
Lesson 3-5
Lesson 3-6
Lesson 3-7
Lesson 3-8
Lesson 4-1
Lesson 4-2
Lesson 4-3
Lesson 4-4
Lesson 4-5
Lesson 4-6
Lesson 4-7
Lesson 4-8
Lesson 5-1
Lesson 5-2
Lesson 5-3
Lesson 5-4
Lesson 5-5
Lesson 5-6
Lesson 5-7
Lesson 5-8
Lesson 6-1
Lesson 6-2
Lesson 6-3
Lesson 6-4
Lesson 6-5
Lesson 6-6
Lesson 6-7
Lesson 6-8
Lesson 7-1
Lesson 7-2
Lesson 7-3
Lesson 7-4
Lesson 7-5
Lesson 7-6
Lesson 7-7
Lesson 8-1
Lesson 8-2
Lesson 8-3
Lesson 8-4
Lesson 8-5
Lesson 8-6
Lesson 8-7
Lesson 8-8
Lesson 9-1
Lesson 9-2
Lesson 9-3
Lesson 9-4
Lesson 9-5
Lesson 9-6
Lesson 9-7
Lesson 9-8
Lesson 10-1
Lesson 10-2
Lesson 10-3
Lesson 10-4
Lesson 10-5
Lesson 10-6
Lesson 10-7
Lesson 10-8
Lesson 11-1
Lesson 11-2
Lesson 11-3
Lesson 11-4
Lesson 11-5
Lesson 11-6
Lesson 11-7
Lesson 12-1
Lesson 12-2
Lesson 12-3
Lesson 12-4
Lesson 12-5
Lesson 12-6
Lesson 12-7
Lesson 12-8
Lesson 12-9
Lesson 13-1
Lesson 13-2
Lesson 13-3
Lesson 13-4
Lesson 13-5
Lesson 13-6
Lesson 14-1
Lesson 14-2
Lesson 14-3
Lesson 14-4
Lesson 14-5
Lesson 15-1
Lesson 15-2
Lesson 15-3
Lesson 15-4
Chapter Tests
Chapter 1 Test
Chapter 2 Test
Chapter 3 Test
Chapter 4 Test
Chapter 5 Test
Chapter 6 Test
Chapter 7 Test
Chapter 8 Test
Chapter 9 Test
Chapter 10 Test
Chapter 11 Test
Chapter 12 Test
Chapter 13 Test
Chapter 14 Test
Chapter 15 Test
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