SOLUTION EXAMPLE 1 Represent relations Consider the relation given by the ordered pair (–2, –3), (–1, 1), (1, 3), (2, –2), and (3, 1). a. Identify the domain and range. The domain consists of all the x- coordinates : –2, –1, 1, 2, and 3. The range consists of all the y- coordinates : –3, –2, 1, and 3.

SOLUTION EXAMPLE 1 Represent relations Represent the relation using a graph and a mapping diagram. b. b. GraphMapping Diagram

EXAMPLE 2 Tell whether the relation is a function. Explain. Identify functions a.a. SOLUTION The relation is a function because each input is mapped onto exactly one output.

EXAMPLE 2 Tell whether the relation is a function. Explain. Identify functions b.b. The relation is not a function because the input 1 is mapped onto both – 1 and 2. SOLUTION

GUIDED PRACTICE for Examples 1 and 2 1. Consider the relation given by the ordered pairs (–4, 3), (–2, 1), (0, 3), (1, –2), and (–2, –4) a. Identify the domain and range. The domain consists of all the x -coordinates : –4, –2, 0 and 1, The range consists of all the y- coordinates: 3, 1, –2 and –4

SOLUTION GUIDED PRACTICE for Examples 1 and 2 b. Represent the relation using a table and a mapping diagram.

GUIDED PRACTICE for Examples 1 and 2 2. Tell whether the relation is a function. Explain. ANSWERYes; each input has exactly one output.