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7.

## Composition and Inverse Functions [electronic resource]

Graphics are used to introduce composites and inverses of functions as applied to calculation of the Gross National Product. One-to-one functions and the horizontal line test are introduced, and more encoded messages and the hazards of the bends in scuba diving provide instructive applications of the functions discussed.

Online

1991

10.

## Circle and Parabola [electronic resource]

Using conic sections, provides a detailed look at circles and parabolas. Terminology and formulas for equations are discussed for each. The circle, its various measures when graphed on the coordinate plane (distance, radius, etc.), its related equations (e.g., center-radius form), and its relationships with other shapes are covered, as is the parabola with its various measures and characteristics (focus, directrix, vertex, etc.). An earthquake epicenter provides a real-life illustration.

Online

1991

12.

## Rational Functions [electronic resource]

Defines a rational function as the quotient of two polynomial functions. Investigates the properties of these functions when each rational function is expressed in its simplified form. Clarifies the relationship between numerator and denominator using sign and other graphs to determine intercepts, symmetry, and asymptotes.

Online

1991

17.

## Linear Equations [electronic resource]

Covers how solutions for equations are obtained, what they mean, and how to check them using one unknown. Concepts are worked out in an application problem involving a modern sewage plant near Los Angeles, where a linear equation is set up and solved to determine how long to keep open an inlet pipe.

Online

1991

18.

## The Language of Algebra [electronic resource]

Provides a survey of basic mathematical terminology. Content includes properties of the real number system and the basic axioms and theorems of algebra. Specific terms covered include algebraic expression, variable, product, sum term, factors, common factors, like terms, simplify, equation, sets of numbers, and axioms.

Online

1991

19.

## Variation [electronic resource]

Provides examples of special functions in the form of direct variation and inverse variation, with a discussion of combined variation and the constant of proportionality. These concepts are explored in relation to polynomials and assorted equations, with applications from chemistry, physics, astronomy, and the food industry.

Online

1991

20.

## Polynomial Functions [electronic resource]

Covers how to recognize, graph, and determine all of the intercepts of a polynomial function. Covers the role of coefficients; real numbers; exponents; and linear, quadratic, and cubic functions. Touches upon factors, x-intercepts, and zero values. These terms are demonstrated with the baking of pizza.

Online

1991