This document defines key concepts related to relations and functions including ordered pairs, coordinate planes, relations, functions, graphical representations, domain and range, and the vertical line test. It provides examples and explanations of these terms. Ordered pairs represent points on a graph and functions are defined as sets of ordered pairs where no x-value is repeated, while relations allow repeated x-values. The vertical line test can be used to determine if a relation qualifies as a function by checking if a vertical line passes through only one point for each x-value.
12. The vertical line testIn order to use the vertical line test, you must first plot the points on a coordinate plane. If you can draw a vertical line through each of the data points, and each line passes through EXACTLY one point, then the relation is a function.
13. Using the vertical line test.This is a function.This is NOT a function.yyxx
14. DomainThe set of x values in a relation or function.In the relation:{(-2,3),(0,-3),(2,-4),(7,0)}the domain is {-2, 0, 2, 7}
15. RangeThe set of yvalues in a relation or function.In the relation:{(-2,3),(0,-3),(2,-4),(7,0)}the range is {-4, -3, 0, 3}