An interesting graphical interpretation of complex roots is presented, since it is probably unfamiliar to many mathematics teachers. (MNS)

This guide provides students with practice for all the major types of graphs they are likely to encounter. It includes information on graphs of various families of algebraic functions; bar, line, and circle graphs; the creation, reading, and interpretation of graphs; and the use of graphing calculators. (MVL)

Explores the effects of varying the coefficients in the general quadratic function using graphing calculators. (MKR)

A method for finding the complex roots of a graph is detailed. A conjecture is made regarding the nature of zero points of fourth-degree polynomial functions, but it is not proven in general. Mathematical induction is viewed as a promising tool to prove the conjecture that turned out unproductive. (MP)

Practical decisions involving fuel economy are shown to require important skills from secondary school algebra and analysis. (MP)

A method for sketching functions and finding slopes and roots rising synthetic division is illustrated. (MK)

An example is given of a class of problems whose solutions require the use of a scientific calculator in order to plot the graphs. (MP)

How tedious algebraic manipulations for simplifying general quadratic equations can be supplemented with simple geometric procedures is discussed. These procedures help students determine the type of conic and its axes and allow a graph to be sketched quickly. (MNS)

Procedures to help algebra students solve problems more efficiently are discussed, using linear programing graphs. (MNS)

Presents a strategy for graphing conic sections on the polar plane without using a table of values by beginning with information gained from the graphs of circular functions. (MKR)

Explores quadratic functions using the graphing calculator. Discoveries are made graphically whereas hypotheses are proven algebraically. Includes traditional quadratics, other algebraic quadratics, nonpolynomial quadratics, transcendental quadratics, and proofs. (MKR)

Active involvement and infusion of mathematics into familiar, everyday experiences are essential elements in challenging students to engage in true thinking. Presents an investigation on graphing that touches on all representations including tables of values, graphs, and verbal descriptions. (ASK)

The author describes a series of current economic ideas and situations which can be used in the mathematics classroom to illustrate the use of signed numbers, the coordinate system, univariate and multivariate functions, linear programing, and variation. (SD)

Much can be learned from a study of rational functions and the behavior of their graphs, so their inclusion in secondary school mathematics textbooks is urged. Analysis of reciprocal relationships and when they don't apply, asymptotes, and the graphing technique are each included in the discussion. (MNS)

The focus is on how line graphs can be used to approximate solutions to rate problems and to suggest equations that offer exact algebraic solutions to the problem. Four problems requiring progressively greater graphing sophistication are presented plus four exercises. (MNS)