MCR3U - Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following relations is not a function? 2. Which graph is not a function?
3. Which relation is not a function? a. {( 13, 10), ( 15, 12), ( 11, 8), ( 16, 4)} b. {(8, 17), (5, 5), (8, 3), (4, 1)} c. {( 14, 2), ( 10, 6), ( 1, 3), (10, 6)} d. {(0, 2), ( 4, 6), (4, 15), (12, 6)} 4. Evaluate for. a. 20 c. 20 b. 6 d. 34 5. The graph of is shown. Evaluate g(2). a. 2 c. 1 b. 0 d. 4 6. Consider the functions and. Which of the following is true? 7. Evaluate for. a. 6 c. 26 b. 3 d. 94
8. The graph of is shown. Evaluate h( 1) + h(4). a. 14 c. 3 b. 12 d. 0 9. What is the domain of the relation shown? a. { 3, 2, 0, 1, 2, 4} c. { I} b. { } d. { 4, 1, 0, 2, 3, 5} 10. What are the domain and range of the function? a. Domain = { R} c. Domain = { R } Range = { R} b. Domain = { R } d. Domain = { R } 11. What are the domain and range of the relation that contains the points {( 16, 10), ( 14, 8), ( 11, 3), ( 7, 4), ( 1, 8)}? a. Domain = { 16, 14, 11, 10, 8, 7, 3, 1, 4} Range = { 16, 14, 11, 10, 8, 7, 3, 1, 4} b. Domain = { 10, 8, 3, 4} Range = { 16, 14, 11, 7, 1} c. Domain = { 16, 14, 11, 7, 1}
Range = { 10, 8, 3, 4} d. Domain = { } Range = { } 12. There is a bacteria cell in a Petri dish. The cell reproduces at a rate of What are the domain and range of the function? a. Domain = { R } c. Domain = { } Range = { } b. Domain = { } d. Domain = { R } Range = { } per hour for 10 hours. 13. What are the domain and range of the function? a. Domain = { R} c. Domain = { R} b. Domain = { R} d. Domain = { R} Range = { R} 14. Which of the following is the inverse to the function? 15. A graph of a relation is shown. Which of the following is the graph of the inverse?
16. Which of the following is the inverse relation to the set of ordered pairs {( 10, 5), ( 7, 9), (0, 6), (8, 12)}? a. {(5, 10), (9, 7), (6, 0), ( 12, 8)} c. {(10, 5), (7, 9), (0, 6), ( 8, 12)} b. {( 10, 5), ( 7, 9), (0, 6), (8, 12)} d. {( 5, 10), ( 9, 7), ( 6, 0), (12, 8)} 17. Which of the following is the inverse to the function? 18. A graph of a function is shown.
Which of the following is the graph of the inverse? 19. Which of the following is the parent function for?
20. The solid graph has been compressed horizontally by the factor relative to the dotted graph of. Which of the following is the equation for the solid graph? 21. Which of the following is the parent function for? 22. Which of the following transformations is required to graph from its parent function? a. Reflect the graph in the x-axis, then translate it 6 units to the left. b. Reflect the graph in the y-axis, then translate it 6 units to the right. c. Reflect the graph in the y-axis, then translate it 6 units to the left. d. Reflect the graph in the x-axis, then translate it 6 units to the right. 23. The point (2, 6) is on the graph of. What are the coordinates of the image of this point on the graph? a. (8, 24) c. b. (8, 6) d. 24. Which of the following is NOT a transformation that can be used to graph the function from the parent function? a. Vertical translation 2 units up b. Horizontal compression by a factor of c. Reflection in the x-axis
d. Horizontal translation 4 units to the right 25. Which of the following is a transformation that can be used to graph the function? a. Vertical translation 12 units up b. Horizontal stretch by the factor 5 c. Reflection in the y-axis d. Horizontal translation 9 units to the right 26. Which of the following is the graph of the function? (The parent function is dotted.) 27. Which of the following is the equation for the graph shown?
28. For, which of the following is the graph of? 29. Which of the following is the graph of the function? (The parent function is dotted.)
30. Which of the following is the equation for the graph shown? 31. For, which of the following is the graph of?
MCR3U - Exam Review Answer Section MULTIPLE CHOICE 1. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 1.1 - Relations and Functions 2. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 1.1 - Relations and Functions 3. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 1.1 - Relations and Functions 4. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 1.2 - Function Notation 5. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 1.2 - Function Notation 6. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 1.2 - Function Notation 7. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 1.2 - Function Notation 8. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 1.2 - Function Notation 9. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 1.4 - Determining the Domain and Range of a Function 10. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 1.4 - Determining the Domain and Range of a Function 11. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 1.4 - Determining the Domain and Range of a Function 12. ANS: B PTS: 1 REF: Thinking OBJ: 1.4 - Determining the Domain and Range of a Function 13. ANS: B PTS: 1 REF: Knowledge and Understanding OBJ: 1.4 - Determining the Domain and Range of a Function 14. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 1.5 - The Inverse Function and Its Properties 15. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 1.5 - The Inverse Function and Its Properties 16. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 1.5 - The Inverse Function and Its Properties 17. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 1.5 - The Inverse Function and Its Properties 18. ANS: B PTS: 1 REF: Application OBJ: 1.5 - The Inverse Function and Its Properties 19. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 1.7 - Investigating Horizontal Stretches, Compressions, and Reflections 20. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 1.7 - Investigating Horizontal Stretches, Compressions, and Reflections 21. ANS: D PTS: 1 REF: Knowledge and Understanding OBJ: 1.7 - Investigating Horizontal Stretches, Compressions, and Reflections 22. ANS: C PTS: 1 REF: Thinking
OBJ: 1.7 - Investigating Horizontal Stretches, Compressions, and Reflections 23. ANS: D PTS: 1 REF: Thinking OBJ: 1.7 - Investigating Horizontal Stretches, Compressions, and Reflections 24. ANS: B PTS: 1 REF: Knowledge and Understanding 25. ANS: A PTS: 1 REF: Knowledge and Understanding 26. ANS: C PTS: 1 REF: Knowledge and Understanding 27. ANS: C PTS: 1 REF: Application 28. ANS: C PTS: 1 REF: Application 29. ANS: C PTS: 1 REF: Knowledge and Understanding 30. ANS: D PTS: 1 REF: Application 31. ANS: B PTS: 1 REF: Application