Summary 223 Section 2.5 Introduction to Relations Key Concepts A set of ordered pairs (x, y) is called a relation in x and y. The domain of a relation is the set of first components in the ordered pairs in the relation. The range of a relation is the set of second components in the ordered pairs. Examples Example 1 11, 12, 1Let A 510, 02, 11, 12, 12, 42, 13, 92, 2, 426. Domain of A: Range of A: Example 2 50, 1, 2, 3, 1, 26 35, 5 4 y Domain: Range: 30, 4 4 x 5 4 3 2 1 54321 1 2 3 4 5 1 2 3 4 5 50, 1, 4, 96 Section 2.6 Introduction to Functions Key Concepts Given a relation in x and y, we say “y is a function of x” if, for each element x in the domain, there is exactly one value of y in the range. Note:This means that no two ordered pairs may have the same first coordinate and different second coordinates. The Vertical Line Test for Functions Consider a relation defined by a set of points (x, y) in a rectangular coordinate system.The graph defines y as a function of x if no vertical line intersects the graph in more than one point. Examples Example 1 Function Not a function Function 511, 32, 12, 52, 16, 326 x y Example 2 511, 32, 12, 52, 11, 426 Not a function x y
miller_intermediate_algebra_4e_ch1_3
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