Title:

Making sense of intermediate algebra : models, functions and graphs

Author:

Kysh, Judith.

Personal Author:

Edition:

Prelim. edition.

Publication Information:

Reading, Mass. : Addison-Wesley, [1998]

©1998

Physical Description:

xvi, 297 pages : illustrations ; 28 cm

General Note:

Includes index.

Language:

English

Subject Term:

ISBN:

9780201768022

9780201499957

Format :

Book

### Available:*

Library | Call Number | Material Type | Home Location | Status |
---|---|---|---|---|

Central Library | QA154.2 .K97 1998 | Adult Non-Fiction | Non-Fiction Area-Oversize | Searching... |

### 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 |

Index |