1. Algebra 2

3. Graph the relation {(–3, 3), (2, 2), (–2, –2), (0, 4), (1, –2)}. Lesson 2-1 Relations and Functions Graph and label each ordered pair. Additional Examples

4. Algebra 2

5. Lesson 2-1 Relations and Functions Write the ordered pairs for the relation. Find the domain and range. {(–4, 4), (–3, –2), (–2, 4), (2, –4), (3, 2)} The domain is {–4, –3, –2, 2, 3}. The range is {–4, –2, 2, 4}. Additional Examples

6. Algebra 2 Lesson 2-1 Relations and Functions Make a mapping diagram for the relation {(–1, 7), (1, 3), (1, 7), (–1, 3)}. Pair the domain elements with the range elements. Additional Examples

7. Algebra 2

8. Lesson 2-1 Relations and Functions Use the vertical-line test to determine whether the graph represents a function. If you move an edge of a ruler from left to right across the graph, keeping the edge vertical as you do so, you see that the edge of the ruler never intersects the graph in more than one point in any position. Therefore, the graph does represent a function. Additional Examples

9. Algebra 2

10. Use the vertical-line test to determine whether the graph represents a function.

11. Algebra 2 Lesson 2-1 Relations and Functions Find ƒ(2) for each function. a.ƒ(x) = –x 2 + 1 ƒ(2) = –2 2 + 1 = –4 + 1 = –3 b.ƒ(x) = |3x| ƒ(2) = |3 2| = |6| = 6 c.ƒ(x) = 9 1 – x ƒ(2) = = = –9 9 1 – 2 9 –1 Additional Examples

12. Algebra 2