Mathematics in Action Algebraic, Graphical, and Trigonometric Problem Solving

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  • Edition: 3rd
  • Format: Paperback
  • Copyright: 2007-02-09
  • Publisher: Pearson
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Key Message: The third book of a three-part series,Algebraic, Graphics, and Trigonometric Problem Solving, Second Edition, illustrates how mathematics arises naturally from everyday situations through updated and revised real-life activities and the accompanying practice exercises. Along with the activities and the exercises within the text, MathXL reg; and MyMathLabtrade; have been enhanced to create a better overall learning experience for the reader. Technology integrated throughout the text helps readers interpret real-life data algebraically, numerically, symbolically, and graphically. The active style of this book develops readers'mathematical literacy and builds a solid foundation for future study in mathematics and other disciplines. Key Topics: Function Sense and Linear Functions; Introduction to Functions; Linear Functions; Systems of Linear Equations and Absolute Value Functions; The Algebra of Functions; Addition, Subtraction, and Multiplication of Functions; Composition and Inverse of Functions; Exponential and Logarithmic Functions; Exponential Functions; Logarithmic Functions; Quadratic and Higher Order Polynomial Functions; Introduction to Quadratic Functions; Complex Numbers and Problem Solving Using Quadratic Functions; Curve Fitting and Higher Order Polynomial Functions; Rational and Radical Functions; Rational Functions; Radical Functions and Equations; An Introduction to the Trigonometric Functions; Introducing the Sine, Cosine, and Tangent Functions; Why are the Trigonometric Functions Called Circular? Market: For all readers interested in Algebra, Trigonometry.

Table of Contents

Function Sense
Cluster 1: Modeling with Functions?
Parking Problems
Distinguish between input and output
Define a function
Represent a function numerically and graphically
Write a function using function notation?
Fill 'er Up
Determine the equation (symbolic representation) that defines a function
Write the equation to define a function
Determine the domain and range of a function
Identify the independent and the dependent variables of a function?
Stopping Short
Use a function as a mathematical model
Determine when a function is increasing, decreasing, or constant
Use the vertical line test to determine if a graph represents a function?
Project Activity 1.4: Graphs Tell Stories Objectives
Describe in words what a graph tells you about a given situation
Sketch a graph that best represents the situation described in words?
What Have I Learned?
How Can I Practice?
Cluster 2: Linear Functions
Walking for Fitness
Determine the average rate of change?
Interpret slope as an average rate of change
Use the formula to determine slope
Discover the practical meaning of vertical and horizontal intercepts
Develop the slope-intercept form of an equation of a line
Use the slope-intercept formula to determine vertical and horizontal intercepts?
A New Computer
Write a linear equation in the slope-intercept form, given the initial value and the rate of change
Write a linear equation given two points, one of which is the vertical intercept
Use the point-slope form to write a linear equation given two points, neither of which is the vertical intercept
Compare slopes of parallel lines?
Skateboard Heaven
Write an equation of a line in standard form Ax+By=C
Write the slope-intercept form of a linear equation given the standard form?
College Tuition
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