Math 1314 Review Test I Answers - Tarleton State University · 2019-06-04 · Math 1314 Review Test...

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Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

Math 1314 Review Test I Answers

1.a.�6 � x � 5 d. 0

b. �2 � y � 6 e.�6, 4

c. 4 f.�5.7,�2, 1, 3.5

2. 4

3. 149

4. g�x� � �x � 2�2 � 1

5.

A. x � 5 or x � 5; in interval notation:���, 5� � �5,��B. y � 0; in interval notation:���, 0�

6. g�1�x� � x � 53

7.

A. f�x� � x2 � 2 ("inside function")

B. g�x� � 1x ("outside function")

8. No. �g � f��x� � x for all x. For example,�g � f��0� � 15

9. r�2� � 5; r�4� � 6

10. �8,�6�

11. 20°C

12. C�t� � 60� 80t

13. right

14.

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

x

y

f

15. y � �2�x � 2��x � 4�

16. Match the graph with thea, h, andk information from the vertex formy � a�x � h�2 � k.

_E_ x

y

__C__x

y

__H__ x

y

__F__

x

y

A. a � 0, h � 0, k � 0 B. a � 0, h � 0, k � 0 C. a � 0, h � 0, k � 0 D. a � 0, h � 0, k � 0

E. a � 0, h � 0, k � 0 F. a � 0, h � 0, k � 0 G. a � 0,h � 0,k � 0 H. There is no match

17. y � 2 x � 12

�x � 1�

18. y � 43

x2 � 8x � 8

Math 1314 Test I Review Page 2

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