1. Holt McDougal Algebra 1 Relations and Functions GSE Algebra 1 Unit 2B D1 Identifying Functions Essential Questions How can I identify functions from various representations? How can I find the domain and range of relations and functions in various representations?

2. Holt McDougal Algebra 1 Relations and Functions Warm Up Generate ordered pairs for the function y = x + 3 for x = –2, –1, 0, 1, and 2. Graph the ordered pairs.

3. Holt McDougal Algebra 1 Relations and Functions Ex 1 Express the relation {(2, 3), (4, 7), (6, 8)} as a table, as a graph, and as a mapping diagram. x y Table x y

4. Holt McDougal Algebra 1 Relations and Functions Ex 2 Express the relation {(1, 3), (2, 4), (1, 5)} as a table, as a graph, and as a mapping diagram. x y Table x y

5. Holt McDougal Algebra 1 Relations and Functions The ___________ of a relation is the set of first coordinates (or x-values) of the ordered pairs. The ___________ of a relation is the set of second coordinates (or y-values) of the ordered pairs. x y 13 24 35 1 2 3 3 4 5 x y {(1, 3), (2, 4), (3, 5)}

6. Holt McDougal Algebra 1 Relations and Functions Ex 3 Write as a set of ordered pairs. Give the domain and range of the relation. –4 –1 0 1 2 6 5 Domain: Range: The domain values are all x-values The range values are y-values: x y

7. Holt McDougal Algebra 1 Relations and Functions Ex 4 Write as a set of ordered pairs. Give the domain and range of the relation. x y 11 44 81 Domain: Range: The domain values are all x-values The range values are y-values

8. Holt McDougal Algebra 1 Relations and Functions A _______________ is a special type of relation that pairs each domain value with exactly one range value. The x’s are faithful to their y’s

9. Holt McDougal Algebra 1 Relations and Functions Ex 5 Give the domain and range of the relation. Tell whether the relation is a function. Explain. {(3, –2), (5, –1), (4, 0), (3, 1)} R:D: Write as a set of ordered pairs. Give the domain and range of the relation. Tell whether the relation is a function. Explain. –4 –8 4 2 1 5 D: R: Ex 6

10. Holt McDougal Algebra 1 Relations and Functions Give the domain and range of each relation. Tell whether the relation is a function and explain. Ex 7 a. {(8, 2), (–4, 1), (–6, 2),(1, 9)} b. D: R: D: R:

11. Holt McDougal Algebra 1 Relations and Functions Lesson Quiz: Part I 1. Express the relation {(–2, 5), (–1, 4), (-1, 3), (2, 4)} as a table, as a graph, and as a mapping diagram.

12. Holt McDougal Algebra 1 Relations and Functions 2. Write as a set of ordered pairs. Give the domain and range of the relation. Tell whether the relation is a function. Explain. Lesson Quiz: Part II