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. SOLUTION 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.

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

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

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

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. SOLUTION 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

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

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