{"id":22,"date":"2022-01-13T23:39:22","date_gmt":"2022-01-13T23:39:22","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/uvu-combinedalgebra\/chapter\/course-contents-at-a-glance\/"},"modified":"2023-01-07T22:16:07","modified_gmt":"2023-01-07T22:16:07","slug":"course-contents-at-a-glance","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/uvu-combinedalgebra\/chapter\/course-contents-at-a-glance\/","title":{"raw":"Course Contents at a Glance","rendered":"Course Contents at a Glance"},"content":{"raw":"
\r\n

TABLE OF CONTENTS<\/h1>\r\n

Chapter 1\u00a0\u00a0\u00a0 Functions<\/h2>\r\n<\/div>\r\n
\r\n\r\n1.1: Relations and Functions\r\n\r\n<\/div>\r\n
\r\n

1.1.1: Relations<\/p>\r\n\r\n<\/div>\r\n

\r\n\r\n1.1.2: Functions\r\n\r\n<\/div>\r\n
\r\n

1.1.3: Vertical and Horizontal Line Tests<\/p>\r\n\r\n<\/div>\r\n

\r\n\r\n1.2: Graphs of Functions\r\n\r\n<\/div>\r\n
\r\n\r\n1.3: Transformations and the Inverse of a Function\r\n\r\n<\/div>\r\n
\r\n\r\n1.4: Algebraic Forms of Functions\r\n\r\n<\/div>\r\n
\r\n

1.4.1: Algebraic Forms of Functions<\/p>\r\n\r\n<\/div>\r\n

\r\n\r\n1.4.2: The Meaning of the Algebraic Form of a Function\r\n\r\n<\/div>\r\n
\r\n

Chapter 2\u00a0\u00a0\u00a0 Linear Functions<\/h2>\r\n<\/div>\r\n
\r\n\r\n2.1: Linear Patterns, Rate of Change and Slope\r\n\r\n<\/div>\r\n
\r\n

2.1.1: Linear Patterns, Rate of Change and Slope<\/p>\r\n\r\n<\/div>\r\n

\r\n\r\n2.1.2: Parallel and Perpendicular Lines\r\n\r\n<\/div>\r\n
\r\n\r\n2.2: Linear Functions and Their Graphs\r\n\r\n<\/div>\r\n
\r\n

2.2.1: Linear Functions<\/p>\r\n\r\n<\/div>\r\n

\r\n\r\n2.2.2: Graphing Linear Functions\r\n\r\n<\/div>\r\n
\r\n\r\n2.3: Algebraic Analysis of Linear Functions\r\n\r\n2.4: Transformations of the Linear Function\r\n\r\n2.5: The Inverse of a Linear function\r\n\r\n2.6: Systems of Linear Equations in Two Variables\r\n

2.6.1: Introduction to Systems of Linear Equations in Two Variables<\/p>\r\n

2.6.2: The Substitution Method<\/p>\r\n

2.6.3: The Elimination Method<\/p>\r\n2.7: Systems of Linear Equations in Three Variables\r\n

2.7.1: Introduction to Systems of Linear Equations in Three Variables<\/p>\r\n

2.7.2: Solving Systems of Linear equations in Three Variables<\/p>\r\n\r\n

Chapter 3\u00a0\u00a0\u00a0 Polynomial Functions\u00a0<\/strong><\/h2>\r\n
\r\n\r\n3.1: Polynomials, Polynomial Functions and their Graphs\r\n\r\n<\/div>\r\n
\r\n

3.1.1: Polynomials<\/p>\r\n\r\n<\/div>\r\n

\r\n

3.1.2: Polynomial Functions and their Graphs<\/p>\r\n\r\n<\/div>\r\n

\r\n\r\n3.2: Algebraic Analysis of Polynomial Functions\r\n\r\n<\/div>\r\n
\r\n

3.2.1: Algebraic Analysis of Polynomial Functions<\/p>\r\n\r\n<\/div>\r\n

\r\n

3.2.2: The Composition of Polynomial Functions<\/p>\r\n3.3: The\u00a0Inverse and Inverse Functions<\/span><\/span>\r\n\r\n<\/div>\r\n

\r\n

3.3.1: The Inverse of a Polynomial Function<\/p>\r\n\r\n<\/div>\r\n

\r\n

3.3.2: The Composition of a Function and Its Inverse Function<\/p>\r\n\r\n<\/div>\r\n

\r\n\r\n3.4: The Division of Polynomials and the Remainder Theorem\r\n\r\n<\/div>\r\n
\r\n

3.4.1: The Division of Polynomials<\/p>\r\n\r\n<\/div>\r\n

\r\n

3.4.2: Synthetic Division<\/p>\r\n\r\n<\/div>\r\n

\r\n

3.4.3: The Remainder Theorem<\/p>\r\n\r\n<\/div>\r\n

\r\n\r\n3.5: Factoring Polynomials\r\n\r\n<\/div>\r\n
\r\n

3.5.1: Factoring Polynomials - GCF and Grouping<\/p>\r\n\r\n<\/div>\r\n

\r\n

3.5.2: Factoring Trinomials by Trial and Error<\/p>\r\n\r\n<\/div>\r\n

\r\n

3.5.3: Factoring Trinomials - The ac-Method<\/p>\r\n\r\n<\/div>\r\n

\r\n

3.5.4: Factoring - Difference of Squares and the Sum and Difference of Cubes<\/p>\r\n\r\n<\/div>\r\n

\r\n\r\n3.6:\u00a0\u00a0\u00a0\u00a0\u00a0 Algebraic Analysis on Intersection Points\r\n\r\n<\/div>\r\n<\/div>\r\n

Chapter 4\u00a0\u00a0\u00a0 Quadratic Functions<\/h2>\r\n
\r\n\r\n4.1: Quadratic Functions and Their Graphs\r\n\r\n<\/div>\r\n
\r\n\r\n4.2: Transformations of the Quadratic Function\r\n\r\n<\/div>\r\n
\r\n\r\n4.3: Algebraic Analysis on the Vertex\r\n\r\n<\/div>\r\n
\r\n\r\n4.4: Zeros of a Quadratic Function\r\n\r\n<\/div>\r\n
\r\n\r\n4.5: The Inverse of a Quadratic Function\r\n\r\n<\/div>\r\n

Chapter 5\u00a0\u00a0\u00a0 Exponential Functions<\/h2>\r\n
\r\n\r\n5.1: Exponential Functions and Their Graphs\r\n\r\n<\/div>\r\n
\r\n\r\n5.2: Transformations of the Exponential Function\r\n\r\n<\/div>\r\n
\r\n

5.2.1: Transformations of the Exponential Function\u2013\u2013Vertical and Horizontal Shifts<\/p>\r\n\r\n<\/div>\r\n

\r\n

5.2.2: Transformations of the Exponential Function\u2013\u2013Stretches, Compressions and Reflections<\/p>\r\n\r\n<\/div>\r\n

\r\n\r\n5.3: Properties of Exponents\r\n\r\n<\/div>\r\n
\r\n

5.3.1: Properties of Exponents: Product, Quotient and Power Rules<\/p>\r\n\r\n<\/div>\r\n

\r\n

5.3.2: Properties of Exponents with Zero and Negative Exponents<\/p>\r\n\r\n<\/div>\r\n

\r\n\r\n5.4: Algebraic Analysis on Intersection Points\r\n\r\n<\/div>\r\n
\r\n\r\n5.5 The Inverse of an Exponential Function\r\n\r\n<\/div>\r\n

Chapter 6\u00a0\u00a0\u00a0 Logarithmic Functions<\/h2>\r\n
\r\n\r\n6.1: Logarithmic Functions and Their Graphs\r\n\r\n<\/div>\r\n
\r\n\r\n6.2: Transformations of the Logarithmic Function\r\n\r\n<\/div>\r\n
\r\n\r\n6.3: The Inverse of a Logarithmic Function\r\n\r\n<\/div>\r\n
\r\n\r\n6.4: Algebraic Analysis on the Properties of Logarithms\r\n\r\n<\/div>\r\n
\r\n\r\n6.5: Algebraic Analysis on Intersection Points\r\n\r\n<\/div>\r\n
\r\n

Chapter 7\u00a0\u00a0\u00a0 Rational Functions\u00a0<\/strong><\/h2>\r\n
\r\n\r\n7.1: Rational Functions and Their Graphs\r\n\r\n<\/div>\r\n
\r\n

7.1.1: Rational Functions and Their Graphs<\/p>\r\n\r\n<\/div>\r\n

\r\n

7.1.2: Graphing a Rational Function<\/p>\r\n\r\n<\/div>\r\n

\r\n\r\n7.2: Transformations of the Rational Function\r\n\r\n<\/div>\r\n
\r\n\r\n7.3: The Inverse of a Rational Function\r\n\r\n<\/div>\r\n
\r\n\r\n7.4: Multiplication and Division of Rational Functions\r\n\r\n<\/div>\r\n
\r\n\r\n7.5: Addition and Subtraction of Rational Functions\r\n\r\n<\/div>\r\n
\r\n\r\n7.6: Algebraic Analysis on Intersection Points\r\n\r\n<\/div>\r\n<\/div>","rendered":"
\n

TABLE OF CONTENTS<\/h1>\n

Chapter 1\u00a0\u00a0\u00a0 Functions<\/h2>\n<\/div>\n
\n

1.1: Relations and Functions<\/p>\n<\/div>\n

\n

1.1.1: Relations<\/p>\n<\/div>\n

\n

1.1.2: Functions<\/p>\n<\/div>\n

\n

1.1.3: Vertical and Horizontal Line Tests<\/p>\n<\/div>\n

\n

1.2: Graphs of Functions<\/p>\n<\/div>\n

\n

1.3: Transformations and the Inverse of a Function<\/p>\n<\/div>\n

\n

1.4: Algebraic Forms of Functions<\/p>\n<\/div>\n

\n

1.4.1: Algebraic Forms of Functions<\/p>\n<\/div>\n

\n

1.4.2: The Meaning of the Algebraic Form of a Function<\/p>\n<\/div>\n

\n

Chapter 2\u00a0\u00a0\u00a0 Linear Functions<\/h2>\n<\/div>\n
\n

2.1: Linear Patterns, Rate of Change and Slope<\/p>\n<\/div>\n

\n

2.1.1: Linear Patterns, Rate of Change and Slope<\/p>\n<\/div>\n

\n

2.1.2: Parallel and Perpendicular Lines<\/p>\n<\/div>\n

\n

2.2: Linear Functions and Their Graphs<\/p>\n<\/div>\n

\n

2.2.1: Linear Functions<\/p>\n<\/div>\n

\n

2.2.2: Graphing Linear Functions<\/p>\n<\/div>\n

\n

2.3: Algebraic Analysis of Linear Functions<\/p>\n

2.4: Transformations of the Linear Function<\/p>\n

2.5: The Inverse of a Linear function<\/p>\n

2.6: Systems of Linear Equations in Two Variables<\/p>\n

2.6.1: Introduction to Systems of Linear Equations in Two Variables<\/p>\n

2.6.2: The Substitution Method<\/p>\n

2.6.3: The Elimination Method<\/p>\n

2.7: Systems of Linear Equations in Three Variables<\/p>\n

2.7.1: Introduction to Systems of Linear Equations in Three Variables<\/p>\n

2.7.2: Solving Systems of Linear equations in Three Variables<\/p>\n

Chapter 3\u00a0\u00a0\u00a0 Polynomial Functions\u00a0<\/strong><\/h2>\n
\n

3.1: Polynomials, Polynomial Functions and their Graphs<\/p>\n<\/div>\n

\n

3.1.1: Polynomials<\/p>\n<\/div>\n

\n

3.1.2: Polynomial Functions and their Graphs<\/p>\n<\/div>\n

\n

3.2: Algebraic Analysis of Polynomial Functions<\/p>\n<\/div>\n

\n

3.2.1: Algebraic Analysis of Polynomial Functions<\/p>\n<\/div>\n

\n

3.2.2: The Composition of Polynomial Functions<\/p>\n

3.3: The\u00a0Inverse and Inverse Functions<\/span><\/span><\/p>\n<\/div>\n

\n

3.3.1: The Inverse of a Polynomial Function<\/p>\n<\/div>\n

\n

3.3.2: The Composition of a Function and Its Inverse Function<\/p>\n<\/div>\n

\n

3.4: The Division of Polynomials and the Remainder Theorem<\/p>\n<\/div>\n

\n

3.4.1: The Division of Polynomials<\/p>\n<\/div>\n

\n

3.4.2: Synthetic Division<\/p>\n<\/div>\n

\n

3.4.3: The Remainder Theorem<\/p>\n<\/div>\n

\n

3.5: Factoring Polynomials<\/p>\n<\/div>\n

\n

3.5.1: Factoring Polynomials – GCF and Grouping<\/p>\n<\/div>\n

\n

3.5.2: Factoring Trinomials by Trial and Error<\/p>\n<\/div>\n

\n

3.5.3: Factoring Trinomials – The ac-Method<\/p>\n<\/div>\n

\n

3.5.4: Factoring – Difference of Squares and the Sum and Difference of Cubes<\/p>\n<\/div>\n

\n

3.6:\u00a0\u00a0\u00a0\u00a0\u00a0 Algebraic Analysis on Intersection Points<\/p>\n<\/div>\n<\/div>\n

Chapter 4\u00a0\u00a0\u00a0 Quadratic Functions<\/h2>\n
\n

4.1: Quadratic Functions and Their Graphs<\/p>\n<\/div>\n

\n

4.2: Transformations of the Quadratic Function<\/p>\n<\/div>\n

\n

4.3: Algebraic Analysis on the Vertex<\/p>\n<\/div>\n

\n

4.4: Zeros of a Quadratic Function<\/p>\n<\/div>\n

\n

4.5: The Inverse of a Quadratic Function<\/p>\n<\/div>\n

Chapter 5\u00a0\u00a0\u00a0 Exponential Functions<\/h2>\n
\n

5.1: Exponential Functions and Their Graphs<\/p>\n<\/div>\n

\n

5.2: Transformations of the Exponential Function<\/p>\n<\/div>\n

\n

5.2.1: Transformations of the Exponential Function\u2013\u2013Vertical and Horizontal Shifts<\/p>\n<\/div>\n

\n

5.2.2: Transformations of the Exponential Function\u2013\u2013Stretches, Compressions and Reflections<\/p>\n<\/div>\n

\n

5.3: Properties of Exponents<\/p>\n<\/div>\n

\n

5.3.1: Properties of Exponents: Product, Quotient and Power Rules<\/p>\n<\/div>\n

\n

5.3.2: Properties of Exponents with Zero and Negative Exponents<\/p>\n<\/div>\n

\n

5.4: Algebraic Analysis on Intersection Points<\/p>\n<\/div>\n

\n

5.5 The Inverse of an Exponential Function<\/p>\n<\/div>\n

Chapter 6\u00a0\u00a0\u00a0 Logarithmic Functions<\/h2>\n
\n

6.1: Logarithmic Functions and Their Graphs<\/p>\n<\/div>\n

\n

6.2: Transformations of the Logarithmic Function<\/p>\n<\/div>\n

\n

6.3: The Inverse of a Logarithmic Function<\/p>\n<\/div>\n

\n

6.4: Algebraic Analysis on the Properties of Logarithms<\/p>\n<\/div>\n

\n

6.5: Algebraic Analysis on Intersection Points<\/p>\n<\/div>\n

\n

Chapter 7\u00a0\u00a0\u00a0 Rational Functions\u00a0<\/strong><\/h2>\n
\n

7.1: Rational Functions and Their Graphs<\/p>\n<\/div>\n

\n

7.1.1: Rational Functions and Their Graphs<\/p>\n<\/div>\n

\n

7.1.2: Graphing a Rational Function<\/p>\n<\/div>\n

\n

7.2: Transformations of the Rational Function<\/p>\n<\/div>\n

\n

7.3: The Inverse of a Rational Function<\/p>\n<\/div>\n

\n

7.4: Multiplication and Division of Rational Functions<\/p>\n<\/div>\n

\n

7.5: Addition and Subtraction of Rational Functions<\/p>\n<\/div>\n

\n

7.6: Algebraic Analysis on Intersection Points<\/p>\n<\/div>\n<\/div>\n\n\t\t\t

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Candela Citations<\/h3>\n\t\t\t\t\t
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CC licensed content, Original<\/div>