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Graphs and Graphing

Practical Applications



There are many practical applications of graphs and graphing. In the sciences and engineering, sets of numbers represent physical quantities. Graphing the relationship between these quantities is an useful tool for understanding nature. One specific example is the graphing of current versus voltage, used by electrical engineers, to picture the behavior of various circuit components. The rectangular coordinate system can be used to represent all possible combinations of current and voltage. Nature, however, severely limits the allowed combinations, depending on the particular electrical device through which current is flowing. By plotting the allowed combinations of current and voltage for various devices, engineers are able to "picture" the different behaviors of these devices. They use this information to design circuits with combinations of devices that will behave as predicted.



See also Variance.


Resources

Books

Bittinger, Marvin L, and Davic Ellenbogen. Intermediate Algebra: Concepts and Applications. 6th ed. Reading, MA: Addison-Wesley Publishing, 2001.

Larson, Ron. Calculus With Analytic Geometry. Boston: Houghton Mifflin College, 2002.

McKeague, Charles P. Elementary Algebra. 5th ed. Fort Worth: Saunders College Publishing, 1995.

Tobias, Sheila. Succeed with Math. New York: College Entrance Examination Board, 1987.


J. R. Maddocks

KEY TERMS

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Cartesian product

—The Cartesian product of two sets X and Y is the set of all possible ordered pairs (x, y) formed by taking the first element of the pair from the set X and the second element of the pair from the set Y.

Function

—A function is a relation for which no two ordered pairs have the same first element.

Ordered pair

—A pair of elements (x,y) such that the pair (y,x) is not the same as (x,y) unless x = y.

Relation

—A relation between two sets X and Y is a subset of all possible ordered pairs (x,y) for which there exists a specific relationship between each x and y.

Variable

—A variable is a quantity that is allowed to have a changing value, or that represents an unknown quantity.

Additional topics

Science EncyclopediaScience & Philosophy: Glucagon to HabitatGraphs and Graphing - Representing Ordered Pairs, Bar Graphs, Scatter Graphs, Line Graphs, Practical Applications