1. Algebra II Relations and Functions

2. VOCABULARY 1. For every input of a function there is exactly/at least/at most one output.

3. VOCABULARY

4. RELATION {(0,1), (2,3), (0,4)} Input (domain) Output (range)

5. Circle the output values in the relation. {(1,0), (-2,3),(3,2), (5, -4)}

6. Write the domain of the relation. {(-2,3), (-2,1), (5, 4)}

7. There are 4 different ways to represent a relation:  1.______________  2.______________  3.______________  4.______________

8. Representing a Relation

9. Mapping Diagram Jan. ____ 69 ____

10. Ordered pairs {(Jan., 69), (Feb., ___), (____, ___), (____, ___)}

11. Table x (Month) Jan.69

12. Graph

13. What is the domain and range of this relation? {(-3, 14), (0, 7), (2, 0), (9, -18), (23, -99)} Domain: { } Range: { } First the set of x- coordinates: Then the set of y- coordinates:

14. The set of x-coordinates is the ________ of the relation. The set of y-coordinates is the ________ of the relation.

15. Identifying Functions Circle the range values that correspond to domain value 2. DomainRange 23462346 -3 3 6 -3 -1 3 6

16. True or False? Every element of the input corresponds to exactly one element of the range. ______

17. True or False? The relation is a function. _____ DomainRange 23462346 -3 3 6

18. Vertical line test A relation is a function if it can pass the vertical line test. Which means when the relation is on a graph you can not draw a straight vertical line and touch more than one point.

19. Use the vertical line test. Which graph(s) represent(s) a function? ______

20. Underline the correct word(s) to complete the sentence. If a vertical line passes through more than one point on a graph, the graph represents/does not represent a function.

21. Function Notation

22. Substitute the input into the function rule and simplify:

23. Writing and Evaluating a Function You are buying bottles of a sports drink mix for a softball team. Each bottle costs $1.19. What function rule models the total cost of a purchase? Evaluate the function for 15 bottles.

24. Writing and Evaluating a Function You are buying bottles of a sports drink mix for a softball team. Each bottle costs $1.19. What function rule models the total cost of a purchase? Evaluate the function for 15 bottles. Let c = ?. Circle your choice. cost per bottlecost of 15 bottles number of bottles boughttotal cost

25. Writing and Evaluating a Function You are buying bottles of a sports drink mix for a softball team. Each bottle costs $1.19. What function rule models the total cost of a purchase? Evaluate the function for 15 bottles.

26. Writing and Evaluating a Function You are buying bottles of a sports drink mix for a softball team. Each bottle costs $1.19. What function rule models the total cost of a purchase? Evaluate the function for 15 bottles. Relate: __________ is ___________ times _____________________

27. Writing and Evaluating a Function You are buying bottles of a sports drink mix for a softball team. Each bottle costs $1.19. What function rule models the total cost of a purchase? Evaluate the function for 15 bottles.

28. Lesson Check Error Analysis: Your friend writes, “In a function, every vertical line must intersect the graph in exactly one point.” Explain your best friends error and rewrite his statement so that it is correct.

29. Lesson Check Draw a vertical line on each graph that does not intersect the function.

30. Lesson Check Error Analysis: Your friend writes, “In a function, every vertical line must intersect the graph in exactly one point.” Explain your best friends error and rewrite his statement so that it is correct. In a function, a vertical line ____________________________________ ___________________________________.

31. Math Success Check off the vocabulary words you understand. □relation□function□domain□range Rate how well you can represent and interpret functions. 0246810 NEED TO REVIEW NOW I GET IT!