Algebra 2: Integration, Applications, Connections

by Collins, William; Cuevas, Gilbert; Foster, Alan G.; Gordon, Berchie; Moore-Harris, Beatrice; Rath, James; Swart, Dora

• ISBN13: 9780028251363
• ISBN10: 0028251369
• Format: Hardcover
• Copyright: 1997-01-01
• Publisher: Glencoe/McGraw-Hill School Pub Co

Table of Contents

An Introduction to Graphing Calculators	2	(2)
Analyzing Equations and Inequalities	4	(58)
Graphing Technology: Expressions	6	(1)
Expressions and Formulas	7	(6)
Properties of Real Numbers	13	(6)
Integration: Statistics Graphs and Measures of Central Tendency	19	(8)
Solving Equations	27	(8)
Self Test	34	(1)
Graphing Technology: Using Tables to Estimate Solutions	35	(2)
Solving Absolute Value Equations	37	(6)
Solving Inequalities	43	(6)
Solving Absolute Value Inequalities	49	(13)
Graphing Linear Relations and Functions	62	(60)
Relations and Functions	64	(8)
Graphing Technology: Linear Equations	72	(1)
Linear Equations	73	(6)
Graphs Technology: Using Graphs to Estimate Solutions	79	(1)
Slope	80	(8)
Self Test	87	(1)
Writing Linear Equations	88	(7)
Integration: Statistics
Modeling Real-World Data Using Scatter Plots	95	(6)
Graphing Technology: Lines of Regression	101	(2)
Special Functions	103	(6)
Graphing Technology: Linear Inequalities	109	(1)
Linear Inequalities	110	(12)
Solving Systems of Linear Equations and Inequalities	122	(60)
Graphing Technology: Systems of Equations	124	(2)
Graphing Systems of Equations	126	(7)
Solving Systems of Equations Algebraically	133	(8)
Cramer's Rule	141	(6)
Graphing Technology: Systems of Linear Inequalities	147	(1)
Graphing Systems of Inequalities	148	(5)
Self Test	152	(1)
Linear Programming	153	(7)
Applications of Linear Programming	160	(5)
Solving Systems of Equations in Three Variables	165	(7)
Modeling Mathematics: Graphing Equations in Three Variables	172	(10)
Using Matrices	182	(70)
Graphing Technology: Matrices	184	(2)
An Introduction to Matrices	186	(8)
Adding and Subtracting Matrices	194	(5)
Multiplying Matrices	199	(6)
Matrices and Determinants	205	(7)
Self Test	211	(1)
Identity and Inverse Matrices	212	(7)
Using Matrices to Solve Systems of Equations	219	(5)
Using Augmented Matrices	224	(8)
Graphing Technology: Matrix Row Operations	232	(3)
Integration: Statistics
Box-and-Whisker Plots	235	(17)
Exploring Polynomials and Radical Expressions	252	(78)
Monomials	254	(7)
Polynomials	261	(6)
Dividing Polynomials	267	(7)
Factoring	274	(7)
Roots of Real Numbers	281	(7)
Self Test	287	(1)
Radical Expressions	288	(8)
Rational Exponents	296	(7)
Solving Equations Containing Radicals	303	(7)
Complex Numbers	310	(7)
Simplifying Expressions Containing Complex Numbers	317	(13)
Exploring Quadratic functions and Inequalities	330	(76)
Graphing Technology: Quadratic Functions	332	(2)
Solving Quadratic Equations by Graphing	334	(7)
Solving Quadratic Equations by Factoring	341	(5)
Completing the Square	346	(7)
The Quadratic Formula and the Discriminant	353	(6)
Self Test	358	(1)
Sum and Product of Roots	359	(6)
Graphing Technology: Families of Parabolas	365	(2)
Analyzing Graphs of Quadratic Functions	367	(9)
Graphing Technology: Quadratic Inequalities	376	(2)
Graphing and Solving Quadratic Inequalities	378	(6)
Integration: Statistics Standard Deviation	384	(8)
Integration: Statistics
The Normal Distribution	392	(14)
Analyzing Conic Sections	406	(70)
Integration: Geometry The Distance and Midpoint Formulas	408	(7)
Parabolas	415	(8)
Circles	423	(7)
Modeling Mathematics: Drawing Ellipses	430	(1)
Ellipses	431	(9)
Self Test	439	(1)
Hyperbolas	440	(8)
Graphing Technology: Conic Sections	448	(2)
Conic Sections	450	(6)
Modeling Mathematics: Conic Sections	456	(2)
Graphing Technology: Solving Quadratic Systems	458	(2)
Solving Quadratic Systems	460	(16)
Exploring Polynomial functions	476	(70)
Polynomial Functions	478	(8)
The Remainder and Factor Theorems	486	(7)
Graphing Technology: Polynomial Functions	493	(2)
Graphing Polynomial Functions and Approximating Zeros	495	(7)
Graphing Technology: Modeling Real-World Data	502	(2)
Roots and Zeros	504	(7)
Self Test	510	(1)
Rational Zero Theorem	511	(6)
Using Quadratic Techniques to Solve Polynomial Equations	517	(6)
Composition of Functions	523	(6)
Modeling Mathematics: Exploring Iteration	529	(2)
Inverse Functions and Relations	531	(15)
Exploring Rational Expressions	546	(46)
Graphing Technology: Rational Functions	548	(2)
Graphing Rational Functions	550	(6)
Direct, Inverse, and Joint Variation	556	(6)
Multiplying and Dividing Rational Expressions	562	(7)
Self Test	568	(1)
Adding and Subtracting Rational Expressions	569	(7)
Solving Rational Equations	576	(16)
Exploring Exponential and Logarithmic Functions	592	(52)
Graphing Technology: Exponential and Logarithmic Functions	594	(2)
Real Exponents and Exponential Functions	596	(7)
Graphing Technology: Curve Fitting with Real-World Data	603	(2)
Logarithms and Logarithmic Functions	605	(6)
Properties of Logarithms	611	(6)
Common Logarithms	617	(5)
Self Test	621	(1)
Natural Logarithms	622	(4)
Solving Exponential Equations	626	(5)
Growth and Decay	631	(13)
Investigating Sequences and Series	644	(66)
A Graphing Technology: Arithmetic Sequences	646	(2)
Arithmetic Sequences	648	(8)
Arithmetic Series	656	(6)
Geometric Sequences	662	(8)
Geometric Series	670	(6)
Self Test	675	(1)
Infinite Geometric Series	676	(7)
Recursion and Special Sequences	683	(5)
Fractals	688	(7)
The Binomial Theorem	695	(15)
Investigating Discrete Mathematics and Probability	710	(60)
The Counting Principle	712	(6)
Permutations	718	(8)
Combinations	726	(6)
Probability	732	(7)
Self Test	738	(1)
Multiplying Probabilities	739	(7)
Adding Probabilities	746	(6)
Binomial Experiments and Simulations	752	(6)
Sampling and Testing Hypotheses	758	(12)
Exploring Trigonometric functions	770	(52)
An Introduction to Trigonometry	772	(8)
Angles and Their Measure	780	(6)
Trigonometric Functions of General Angles	786	(6)
Law of Sines	792	(7)
Self Test	798	(1)
Law of Cosines	799	(6)
Circular Functions	805	(6)
Inverse Trigonometric Functions	811	(11)
Using Trigonometric Graphs and Identities	822	(53)
Graphing Technology: Trigonometric Functions	824	(2)
Graphing Trigonometric Functions	826	(9)
Trigonometric Identities	835	(6)
Graphing Technology: Verifying Trigonometric Identities	841	(1)
Verifying Trigonometric Identities	842	(5)
Self Test	846	(1)
Sum and Difference of Angles Formulas	847	(6)
Double-Angle and Half-Angle Formulas	853	(7)
Graphing Technology: Solving Trigonometric Equations	860	(1)
Solving Trigonometric Equations	861	(14)
Student Handbook	875	(1)
Extra Practice	876	(36)
Chapter Tests	912	(14)
Glossary	926	(12)
Spanish Glossary	938	(12)
Selected Answers	950	(44)
Photo Credits	994	(2)
Applications & Connections Index	996	(5)
Index	1001