Ch1 - MCR3U - Review-1

MCR3U - Exam Review – Chapter 1

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.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

c.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

b.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

d.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

____ 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.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

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.

1 2 3 4 5–1–2–3–4–5 x

1

–1

–2

–3

–4

–5

–6

–7

–8

–9

y

Evaluate h(–1) + h(4).

a. –14 c. –3

b. –12 d. 0

____ 9. What is the domain of the relation shown?

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

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.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

Which of the following is the graph of the inverse?

a.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

c.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

b.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

d.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

____ 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.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

Which of the following is the graph of the inverse?

a.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

c.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

b.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

d.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

____ 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?

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

6

7

8

–1

–2

y

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.

5 10 15 20 25–5–10–15–20–25 x

5

10

15

20

25

–5

–10

–15

–20

–25

y

c.

5 10 15 20 25–5–10–15–20–25 x

5

10

15

20

25

–5

–10

–15

–20

–25

y

b.

5 10 15 20 25–5–10–15–20–25 x

5

10

15

20

25

–5

–10

–15

–20

–25

y

d.

5 10 15 20 25–5–10–15–20–25 x

5

10

15

20

25

–5

–10

–15

–20

–25

y

____ 27. Which of the following is the equation for the graph shown?

2 4 6 8 10–2–4–6–8–10 x

2

4

6

8

10

–2

–4

–6

–8

–10

y

a. c.

b. d.

____ 28. For , which of the following is the graph of ?

a.

2 4 6 8 10–2–4–6–8–10 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

c.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

b.

2 4 6 8 10–2–4–6–8–10 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

d.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

____ 29. Which of the following is the graph of the function ? (The parent function is dotted.)

a.

3 6 9 12 15–3–6–9–12–15 x

3

6

9

12

15

–3

–6

–9

–12

–15

y

c.

3 6 9 12 15–3–6–9–12–15 x

3

6

9

12

15

–3

–6

–9

–12

–15

y

b.

3 6 9 12 15–3–6–9–12–15 x

3

6

9

12

15

–3

–6

–9

–12

–15

y

d.

3 6 9 12 15–3–6–9–12–15 x

3

6

9

12

15

–3

–6

–9

–12

–15

y

____ 30. Which of the following is the equation for the graph shown?

10 20 30 40 50–10–20–30–40–50 x

3

6

9

12

15

–3

–6

–9

–12

–15

y

a. c.

b. d.

____ 31. For , which of the following is the graph of ?

a.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

c.

3 6 9 12 15–3–6–9–12–15 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

b.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

d.

4 8 12 16 20–4–8–12–16–20 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

MCR3U - Exam Review

Answer Section

MULTIPLE CHOICE

1. ANS: C PTS: 1 REF: Knowledge and Understanding

OBJ: 1.1 - Relations and Functions



3. ANS: B PTS: 1 REF: Knowledge and Understanding


4. ANS: D PTS: 1 REF: Knowledge and Understanding

OBJ: 1.2 - Function Notation





7. ANS: A 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: 1.5 - The Inverse Function and Its Properties







18. ANS: B PTS: 1 REF: Application



OBJ: 1.7 - Investigating Horizontal Stretches, Compressions, and Reflections





22. ANS: C PTS: 1 REF: Thinking


23. ANS: D PTS: 1 REF: Thinking



OBJ: 1.8 - Using Transformations to Graph Functions of the Form y = af[k(x - d)] + c





27. ANS: C PTS: 1 REF: Application


28. ANS: C PTS: 1 REF: Application




30. ANS: D PTS: 1 REF: Application


31. ANS: B PTS: 1 REF: Application


Documents

Ch1 - MCR3U - Review-1