Cover image for Making sense of intermediate algebra : models, functions and graphs
Making sense of intermediate algebra : models, functions and graphs
Kysh, Judith.
Personal Author:
Prelim. edition.
Publication Information:
Reading, Mass. : Addison-Wesley, [1998]

Physical Description:
xvi, 297 pages : illustrations ; 28 cm
General Note:
Includes index.
Subject Term:

Format :


Call Number
Material Type
Home Location
Item Holds
QA154.2 .K97 1998 Adult Non-Fiction Non-Fiction Area-Oversize

On Order

Table of Contents

1 Problem Solving
Problem-solving strategies: Using "guess and check" tables, writing equations, graphing data, solving subproblems
Solving linear and quadratic equations
Introduction to the function concept
2 Functions
Function notation, domain and range
Using a graphing calculator to investigate functions
Fitting lines to data
Writing equations for lines using slope and intercepts
Finding x- and y-intercepts and intersection points for lines by solving linear equations
Finding x- and y- intercepts for parabolas by solving quadratic equations
3 Sequences as Discrete Functions
Developing sequences from data
Graphing sequences
Using formulas for 110th terms in arithmetic and geometric sequences
Definitions of continuous versus discrete functions
Relating arithmetic sequences to linear functions
Review of solving systems of equations
4 Exponential Functions
Seeing geometric sequences as discrete exponential functions
Using integer and noninteger exponents
Relating fractional exponents and radicals
Introduction to solving exponential equations
Writing exponential equations to represent growth or decay
5 Translating Graphs of Parabolas and Other Functions
Definition of a function
Using the quadratic equation to identify the location of the vertex and the stretch factor for the graph of a parabola
Changing quadratic expressions from standard form to graphing form
Generalizing relationships between equations and graphs for cubic, exponential, and square-root functions
Writing equations for parabolas given their graphs
Introduction to non-functions: parabolas of the form x = y2
6 Linear Systems
Solving systems of inequalities
Applications of linear inequalities
Solving systems of three equations in three variables
Writing equations for parabolas given three points
7 Logarithms and Other Inverse Functions
Definition of inverse function
Finding the inverse function (or relation) for a given function
Relating inverse functions and their graphs
Definition of logarithms as inverse functions of exponential functions
Translating the graphs of logarithms
The laws of logarithms
Using logarithms to solve exponential equations
8 Polynomials and General Systems of Equations
Solving systems graphically
Determining when systems can be solved algebraically
Solving systems of linear and quadratic equations
Complex numbers and their relation to graphs that do not intersect in the xy-plane
Operations with complex numbers
Graphs of polynomial functions
Roots of polynomial functions
Writing equations for polynomial functions given their roots and one other point
Appendix A Solving Equations
Appendix B Completing the Square
Appendix C Circles
Appendix D 3 x 3 Technology