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? a. c. b. d. ____ 2. Which graph is not a function? a. c.
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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?
a.
c.
b.
d.
____ 2. Which graph is not a function? a.
c.
b.
d.
____ 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? a. c. b. d.
____ 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}
Range = { R} c. Domain = { R }
Range = { R } b. Domain = { R }
Range = { R } d. Domain = { R | }
Range = { 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 per hour for 10 hours. What are the domain and range of the function? a. Domain = { R }
Range = { R } c. Domain = { }
Range = { } b. Domain = { }
Range = { } d. Domain = { R }
Range = { R }
____ 13. What are the domain and range of the function ? a. Domain = { R}
Range = { R } c. Domain = { R}
Range = { R } b. Domain = { R}
Range = { R } d. Domain = { R}
Range = { R}
____ 14. Which of the following is the inverse to the function ? a.
c.
b.
d.
____ 15. A graph of a relation is shown.
Which of the following is the graph of the inverse?
a.
c.
b.
d.
____ 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 ? a.
c.
b.
d.
____ 18. A graph of a function is shown.
Which of the following is the graph of the inverse? a.
c.
b.
d.
____ 19. Which of the following is the parent function for ?
a. c. b. d.
____ 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?
a. c. b.
d.
____ 21. Which of the following is the parent function for ?
a. c. b. d.
____ 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.) a.
c.
b.
d.
____ 27. Which of the following is the equation for the graph shown?
a. c. b. d.
____ 28. For , which of the following is the graph of ? a.
c.
b.
d.
____ 29. Which of the following is the graph of the function ? (The parent function is dotted.)
a.
c.
b.
d.
____ 30. Which of the following is the equation for the graph shown?
a. c. b. d.
____ 31. For , which of the following is the graph of ?
a.
c.
b.
d.
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 OBJ: 1.8 - Using Transformations to Graph Functions of the Form y = af[k(x - d)] + c
25. ANS: A PTS: 1 REF: Knowledge and Understanding OBJ: 1.8 - Using Transformations to Graph Functions of the Form y = af[k(x - d)] + c
26. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 1.8 - Using Transformations to Graph Functions of the Form y = af[k(x - d)] + c
27. ANS: C PTS: 1 REF: Application OBJ: 1.8 - Using Transformations to Graph Functions of the Form y = af[k(x - d)] + c
28. ANS: C PTS: 1 REF: Application OBJ: 1.8 - Using Transformations to Graph Functions of the Form y = af[k(x - d)] + c
29. ANS: C PTS: 1 REF: Knowledge and Understanding OBJ: 1.8 - Using Transformations to Graph Functions of the Form y = af[k(x - d)] + c
30. ANS: D PTS: 1 REF: Application OBJ: 1.8 - Using Transformations to Graph Functions of the Form y = af[k(x - d)] + c
31. ANS: B PTS: 1 REF: Application OBJ: 1.8 - Using Transformations to Graph Functions of the Form y = af[k(x - d)] + c
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