Unit 7: Functions. 3. Which diagram shows a relation that is not a function? 1. Which graph represents a function? A. B. A. B. C. D. C. D.
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1 Name: ate: 1. Which graph represents a function? 3. Which diagram shows a relation that is not a function? 2. Which diagram is not the graph of a function? 4. Which graph of a relation is also a function? page 1
2 5. Which graph does not represent a function? 6. Which graph represents a function?.. page 2
3 7. Which graph does not represent a function of x? 8. Which graph is not a function?.. page 3
4 9. Each graph below represents a possible relationship between temperature and pressure. Which graph does not represent a function? 10. Which graph represents a function?.... page 4
5 11. Which statement is true about the relation shown on the graph below? 12. Which graph represents a function? It is a function because there exists one x-coordinate for each y-coordinate. It is a function because there exists one y-coordinate for each x-coordinate... It is not a function because there are multiple y-values for a given x-value.. It is not a function because there are multiple x-values for a given y-value.. page 5
6 13. Given the relation R = {( 2, 3), (a, 4), (1, 9), (0, 7)}. Which placement for a makes this relation a function Which set of ordered pairs does not represent a function? {(3, 2), ( 2, 3), (4, 1), ( 1, 4)} {(3, 2), (3, 4), (4, 1), (4, 3)}. {(3, 2), (4, 3), (5, 4), (6, 5)}. {(3, 2), (5, 2), (4, 2), ( 1, 2)} 14. Which set of ordered pairs is not a function? {(3, 1), (2, 1), (1, 2), (3, 2)} {(4, 1), (5, 1), (6, 1), (7, 1)}. {(1, 2), (3, 4), (4, 5), (5, 6)}. {(0, 0), (1, 1), (2, 2), (3, 3)} 17. Which relation is not a function? {(1, 5), (2, 6), (3, 6), (4, 7)} {(4, 7), (2, 1), ( 3, 6), (3, 4)}. {( 1, 6), (1, 3), (2, 5), (1, 7)}. {( 1, 2), (0, 5), (5, 0), (2, 1)} 15. On the accompanying diagram, draw a mapping of a relation from set to set B that is not a function. Explain why the relationship you drew is not a function. 18. Which relation represents a function? {(0, 3), (2, 4), (0, 6)} {( 7, 5), ( 7, 1), ( 10, 3), ( 4, 3)}. {(2, 0), (6, 2), (6, 2)}. {( 6, 5), ( 3, 2), (1, 2), (6, 5)} page 6
7 19. Which relation is a function? 22. The effect of ph on the action of a certain enzyme is shown on the accompanying graph. { ( 3 4, 0), (0, 1), ( 3 4, 2)} { ( 2, 2), ( 1 2, 1), ( 2, 4) }. {( 1, 4), (0, 5), (0, 4)}. {(2, 1), (4, 3), (6, 5)} 20. Which relation is a function? What is the domain of this function? { ( 3 4, 0), (0, 1), ( 3 4, 2)} { ( 2, 2), ( 1 2, 1), ( 2, 4) } 4 x 13 4 y 13. x 0. y 0. {( 1, 4), (0, 5), (0, 4)}. {(2, 1), (4, 3), (6, 5)} 23. ata collected during an experiment are shown in the accompanying graph. 21. Which graph illustrates a quadratic relation whose domain is all real numbers? What is the range of this set of data? 2.5 y x y x 10 page 7
8 24. meteorologist drew the accompanying graph to show the changes in relative humidity during a 24-hour period in New York ity. 26. The accompanying graph illustrates the presence of a certain strain of bacteria at various ph levels. What is the range of this set of data? 0 y 24 0 x y x 80 What is the range of this set of data? 5 x 9 5 x y y The accompanying graph shows the elevation of a certain region in New York State as a hiker travels along a trail. What is the domain of this function? 1,000 x 1,500 1,000 y 1, x y 12 page 8
9 27. The air temperature in allas, Texas, over a 5-hour period is shown in the accompanying graph. 28. What are the domain and the range of the function shown in the graph below? {x x > 4}; {y y > 2} What is the range of this set of data? 0 x 5 56 x 70 {x x 4}; {y y 2}. {x x > 2}; {y y > 4}. {x x 2}; {y y 4}. 0 y y 70 page 9
10 29. What is the domain of the function shown below? 1 x 6 1 y 6. 2 x 5. 2 y 5 page 10
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