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This pre-algebra math tutorial from NutshellMath offers targeted math homework help on understanding and representing relations. The instruction in this tutorial is focused on problems 2, 3, 8, 9, and 31-43 on pages 36 and 37 in the Pre-Algebra text from Glencoe Mathematics. Relations in algebra are stated associations of two variables represented by a collection of associated values. Such relations can be expressed as collection of ordered pairs, plotted points on a coordinate system, or a series of values in a table. Relations for the basis for nearly all of algebra, and are related to functions, which are general rules which describe relations. This tutorial focuses upon working with relations, and solving homework problems that involve representing algebraic relations as collections of ordered pairs, graphs or tables.
To represent a relation as a set of ordered pairs, it is only necessary to write each set of associated values in parentheses and separated by a comma. Each ordered pair should be written with the x-value first, and then the y-value. To express a relation as a plot of points on a coordinate plane, first draw a coordinate plane, and plot each set of associated values at the corresponding point on the plane, x number of steps horizontally from the origin, and y steps vertically. To construct a table, list each set of associated values side-by-side in a two-column table, under the appropriate column heading; either x or y. Each of these methods is an acceptable way of representing a relation in algebra.
This tutorial also offers instruction in identifying the domain and range of a relation. The domain is the set of x-values covered by a relation. To find it, simply list all the x values from every set of associated values in the relation as a set. The range is the corresponding set of all the y-values covered by the relation.
This tutorial introduces the concept of relations, and how to represent them. As relations are a fundamental aspect of algebra, mastering how to visualize and manipulate relations as tables, graphs and ordered pairs is an essential skill in mathematics.
This pre-algebra math tutorial from NutshellMath offers targeted math homework help on understanding and representing relations. The instruction in this tutorial is focused on problems 2, 3, 8, 9, and 31-43 on pages 36 and 37 in the Pre-Algebra text from Glencoe Mathematics. Relations in algebra are stated associations of two variables represented by a collection of associated values. Such relations can be expressed as collection of ordered pairs, plotted points on a coordinate system, or a series of values in a table. Relations for the basis for nearly all of algebra, and are related to functions, which are general rules which describe relations. This tutorial focuses upon working with relations, and solving homework problems that involve representing algebraic relations as collections of ordered pairs, graphs or tables.
To represent a relation as a set of ordered pairs, it is only necessary to write each set of associated values in parentheses and separated by a comma. Each ordered pair should be written with the x-value first, and then the y-value. To express a relation as a plot of points on a coordinate plane, first draw a coordinate plane, and plot each set of associated values at the corresponding point on the plane, x number of steps horizontally from the origin, and y steps vertically. To construct a table, list each set of associated values side-by-side in a two-column table, under the appropriate column heading; either x or y. Each of these methods is an acceptable way of representing a relation in algebra.
This tutorial also offers instruction in identifying the domain and range of a relation. The domain is the set of x-values covered by a relation. To find it, simply list all the x values from every set of associated values in the relation as a set. The range is the corresponding set of all the y-values covered by the relation.
This tutorial introduces the concept of relations, and how to represent them. As relations are a fundamental aspect of algebra, mastering how to visualize and manipulate relations as tables, graphs and ordered pairs is an essential skill in mathematics.