math 1314 review test i answers - tarleton state university · 2019-06-04 · math 1314 review test...
TRANSCRIPT
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