(Original PDF) Elementary & Intermediate Algebra Functions and Authentic Applications (3rd Edition) – Digital Ebook – Instant Delivery Download
Product details:
- ISBN-10 : 0134756975
- ISBN-13 : 978-0134756974
- Author: Jay Lehmann
Using authentic data to make math meaningful to students, Jay Lehmann’s algebra series uses a curve-fitting approach to model compelling, real-world situations, while answering the perennial question “But what is this good for?” Beginning with interesting data sets, students are asked to find models and derive equations to fit a scenario, helping them to understand functions graphically, numerically, and symbolically. Updated exercises, labs, and graphs deepen students’ understanding of core concepts and keeps them motivated to learn.
Table of Content:
1. Introduction To Modeling
1.1 Variables And Constants
1.2 Scattergrams
1.3 Exact Linear Relationships
1.4 Approximate Linear Relationships
2. Operations And Expressions
2.1 Expressions
2.2 Operations With Fractions
2.3 Adding Real Numbers
2.4 Change In A Quantity And Subtracting Real Numbers
2.5 Ratios, Percents, And Multiplying And Dividing Real Numbers
2.6 Exponents And Order Of Operations
3. Using Slope To Graph Linear Equations
3.1 Graphing Equations Of The Form y = mx + b
3.2 Graphing Linear Models; Unit Analysis
3.3 Slope Of A Line
3.4 Using Slope To Graph Linear Equations
3.5 Rate Of Change
4. Simplifying Expressions And Solving Equations
4.1 Commutative, Associative, And Distributive Laws
4.2 Simplifying Expressions
4.3 Solving Linear Equations In One Variable
4.4 Solving More Linear Equations In One Variable
4.5 Comparing Expressions And Equations
4.6 Formulas
5. Linear Functions And Linear Inequalities In One Variable
5.1 Graphing Linear Equations
5.2 Functions
5.3 Function Notation
5.4 Finding Linear Equations
5.5 Finding Equations Of Linear Models
5.6 Using Function Notation With Linear Models To Make Estimates And Predictions
5.7 Solving Linear Inequalities In One Variable
6. Systems Of Linear Equations And Systems Of Linear Inequalities
6.1 Using Graphs And Tables To Solve Systems
6.2 Using Substitution To Solve Systems
6.3 Using Elimination To Solve Systems
6.4 Using Systems To Model Data
6.5 Perimeter, Value, Interest, And Mixture Problems
6.6 Linear Inequalities In Two Variables; Systems Of Linear
7. Polynomial Functions And Properties Of Exponents
7.1 Adding And Subtracting Polynomial Expressions And Functions
7.2 Multiplying Polynomial Expressions And Functions
7.3 Powers Of Polynomials; Product Of Binomial Conjugates
7.4 Properties Of Exponents
7.5 Dividing Polynomials: Long Division And Synthetic Division
8. Factoring Polynomials And Solving Polynomial Equations
8.1 Factoring Trinomials Of The Form x2 + bx + c And Differences of Two Squares
8.2 Factoring Out The GCF; Factoring By Grouping
8.3 Factoring Trinomials Of The Form ax2 + bx + c
8.4 Sums And Differences Of Cubes; A Factoring Strategy
8.5 Using Factoring To Solve Polynomial Equations
8.6 Using Factoring To Make Predictions With Quadratic Models
9. Quadratic Functions
9.1 Graphing Quadratic Functions In Vertex Form
9.2 Graphing Quadratic Functions In Standard Form
9.3 Simplifying Radical Expressions
9.4 Using The Square Root Property To Solve Quadratic Equations
9.5 Solving Quadratic Equations By Completing The Square
9.6 Using The Quadratic Formula To Solve Quadratic Equations
9.7 Solving Systems Of Linear Equations In Three Variables; Finding Quadratic Functions
9.8 Finding Quadratic Models
9.9 Modeling With Quadratic Functions
10. Exponential Functions
10.1 Integer Exponents
10.2 Rational Exponents
10.3 Graphing Exponential Functions
10.4 Finding Equations Of Exponential Functions
10.5 Using Exponential Functions To Model Data
11. Logarithmic Functions
11.1 Composite Functions
11.2 Inverse Functions
11.3 Logarithmic Functions
11.4 Properties Of Logarithms
11.5 Using The Power Property With Exponential Models To Make Predictions
11.6 More Properties Of Logarithms
11.7 Natural Logarithms
12. Rational Functions
12.1 Finding The Domains Of Rational Functions And Simplifying Rational Expressions
12.2 Multiplying And Dividing Rational Expressions; Converting Units
12.3 Adding And Subtracting Rational Expressions
12.4 Simplifying Complex Rational Expressions
12.5 Solving Rational Equations
12.6 Modeling With Rational Functions
12.7 Proportions; Similar Triangles
12.8 Variation
13. Radical Functions
13.1 Simplifying Radical Expressions
13.2 Adding, Subtracting, And Multiplying Radical Expressions
13.3 Rationalizing Denominators And Simplifying Quotients Of Radical Expressions
13.4 Graphing And Combining Square Root Functions
13.5 Solving Radical Equations
13.6 Modeling With Square Root Functions
Chapter 13 Review Exercises
Chapter 13 Test
14. Sequences And Series
14.1 Arithmetic Sequences
14.2 Geometric Sequences
14.3 Arithmetic Series
14.4 Geometric Series
15. Additional Topics
15.1 Absolute Value: Equations And Inequalities
Key Points Of Section 15.1
15.2 Performing Operations With Complex Numbers
Key Points Of Section 15.2
15.3 Pythagorean Theorem, Distance Formula, And Circles
Key Points Of Section 15.3
15.4 Ellipses And Hyperbolas
Key Points Of Section 15.4
15.5 Solving Nonlinear Systems Of Equations
Key Points Of Section 15.5
A. Using A TI-83 Or TI-84 Graphing Calculator (Available Online Only)
A.1 Turning A Graphing Calculator On Or Off
A.2 Making The Screen Lighter Or Darker
A.3 Entering An Equation
A.4 Graphing An Equation
A.5 Tracing A Curve Without A Scattergram
A.6 Zooming
A.7 Setting The Window Format
A.8 Plotting Points In A Scattergram
A.9 Tracing A Scattergram
A.10 Graphing Equations With A Scattergram
A.11 Tracing A Curve With A Scattergram
A.12 Turning A Plotter On Or Off
A.13 Creating A Table
A.14 Creating A Table For Two Equations
A.15 Using In A Table
A.16 Finding The Regression Curve For Some Data
A.17 Plotting Points In Two Scattergrams
A.18 Finding The Intersection Point(S) Of Two Curves
A.19 Finding The Minimum Point(S) Or Maximum Point(S) Of A Curve
A.20 Storing A Value
A.21 Finding Any X-Intercepts Of A Curve
A.22 Turning An Equation On Or Off
A.23 Finding Coordinates Of Points
A.24 Graphing Equations With Axes Turned Off
A.25 Entering An Equation By Using Yn References
A.26 Responding To Error Messages
Answers To Odd-Numbered Exercises
Index