Study Guide(Due Today) Complete WAM 13-16 Test Tomorrow

Learning Targets I can describe the characteristics of a function. I can recognize a function in any form. I can determine if relations are functions. I can tell how a function is different from a relation I can tell why it is important to know which variable is the independent variable. I can determine the best way to represent a function. I can represent relations and functions using tables, graphs, words, and algebraic equations.

Study Guide Answers 1. B. 2. D. 3. A, B 12. 13. D. 14. D. 15. B. 16. D. 17. A 18. D. 19. C 1. B. 2. D. 3. A, B 4. 1 should map to both 2 and 4. 5. D. 6. A. 7. D 8. D 9. C. 10. C. 11. B

Grade Missed Grade 1 95 11 45 2 90 12 40 3 85 13 35 4 80 14 30 5 75 15 25 6 70 16 20 7 65 17 8 60 18 10 9 55 19 50

What is the domain of the relation {(2,1), (4,2), (3,3), (4,1)} {2, 3, 4, 4} {1, 2, 3, 1} {2, 3, 4} {1, 2, 3} {1, 2, 3, 4} Answer Now

What is the range of the relation {(2,1), (4,2), (3,3), (4,1)} {2, 3, 4, 4} {1, 2, 3, 1} {2, 3, 4} {1, 2, 3} {1, 2, 3, 4} Answer Now

Domain: { ____, ____, ___, ____} Relation = { (3,5),(-2,8),(-3,8),(0,-6) } Domain: { ____, ____, ___, ____} Range: {____ , ___, ____}

Example 1: Represent the following relations as a set of ordered pairs. -2 5 6 -3 2 7 { } (-2, 2) (0, -3) (5, 7) (6, 7)

Functions can be represented four different ways: A ___________ is a relation in which no number in the _________ is __________. (the x-value can not repeat) function domain repeated Functions can be represented four different ways: 1. ______________ 2. ______________ 3. ______________ 4. ______________ mapping graph table set of ordered pairs

Each element of the domain is only used once. Example 3: Are the following relations also functions? -2 3 -7 -2 3 -7 -4 5 8 -4 5 8 Each element of the domain is only used once. 3 is used twice. NOT A FUNCTION FUNCTION

Will all vertical lines cross the graph at only one point? FUNCTION Will all vertical lines cross the graph at only one point? YES. Each x is only used once.

Will all vertical lines cross the graph at only one point? D FUNCTION Will all vertical lines cross the graph at only one point? YES. Each x is only used once.

Will all vertical lines cross the graph at only one point? NOT A FUNCTION Will all vertical lines cross the graph at only one point? NO. x =-3 is used twice.

Will all vertical lines cross the graph at only one point? F NOT A FUNCTION Will all vertical lines cross the graph at only one point? NO. x =-2 is used three times.

Are all x values used only once? -4 -2 2 -3 3 1 NOT A FUNCTION Are all x values used only once? NO. x = - 4 is used twice.

Do the following represent a function?

Study Island Unit 4 Review Kahoot 1 Kahoot 2 Quizziz 1 Quizziz Homework Review

Summarization/Closing Describe a real- life scenario that is a function. When describing the situation, be sure to correctly apply mathematical language to the scenario. My Ex. Shack’s homeroom is eating at Sister’s buffet. The cost per person is $5. The amount of people is the x-value(domain), the total cost is my y-value(output)