Practice Test - Chapter 6 Determine whether each pair of functions are inverse functions. Write yes or no. Explain your reasoning.
1.
SOLUTION:
Since
, they are inverse functions.
2.
SOLUTION:
Manual - Powered by Cognero eSolutions Since
Page 1
, they are inverse functions.
Since Practice Test - Chapter 6
, they are inverse functions.
2.
SOLUTION:
Since
, they are inverse functions.
3.
SOLUTION:
Since
, they are inverse functions.
4.
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SOLUTION:
Page 2
SinceTest - Chapter 6 Practice
, they are inverse functions.
4.
SOLUTION:
Since
, they are not inverse functions.
5. MULTIPLE CHOICE Which inequality represents the graph below?
A
B
C
D
SOLUTION: The graph represents the inequality
.
eSolutions Manual by Cognero Option B is- Powered the correct answer.
Page 3
SinceTest - Chapter 6 Practice
, they are not inverse functions.
5. MULTIPLE CHOICE Which inequality represents the graph below?
A
B
C
D
SOLUTION: The graph represents the inequality
.
Option B is the correct answer.
2
If f (x) = 3x + 2 and g(x) = x – 2x + 1, find each function.
6.
SOLUTION:
7.
SOLUTION:
8.
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SOLUTION:
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Practice Test - Chapter 6
8.
SOLUTION:
9.
SOLUTION:
Solve each equation.
10.
SOLUTION:
11.
SOLUTION:
For x = –1, the radical
become undefined.
Therefore, there is no solution.
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12.
Page 5
Practice Test - Chapter 6 11.
SOLUTION:
For x = –1, the radical
become undefined.
Therefore, there is no solution.
12.
SOLUTION:
13.
SOLUTION:
14.
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SOLUTION:
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Practice Test - Chapter 6
14.
SOLUTION:
15.
SOLUTION:
By Zero Product Property:
Check:
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The solution is 5.
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Practice Test - Chapter 6
15.
SOLUTION:
By Zero Product Property:
Check:
The solution is 5.
16.
SOLUTION:
eSolutions Manual - Powered by Cognero
Page 8
For x = –1, the function
is undefined. Therefore, there is no solution.
The solution is 5. Practice Test - Chapter 6
16.
SOLUTION:
For x = –1, the function
is undefined. Therefore, there is no solution.
17.
SOLUTION:
Check:
eSolutions Manual - Powered by Cognero
There exists no solution for the equation.
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For xTest = –1,- the function Practice Chapter 6
is undefined. Therefore, there is no solution.
17.
SOLUTION:
Check:
There exists no solution for the equation.
18. MULTIPLE CHOICE Which expression is equivalent to
?
F –5
G
H
Manual - Powered by Cognero eSolutions J5
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ThereTest exists no solution Practice - Chapter 6 for the equation.
18. MULTIPLE CHOICE Which expression is equivalent to
?
F –5
G
H
J5
SOLUTION:
Option H is the correct answer.
Simplify.
19.
SOLUTION:
20.
SOLUTION:
eSolutions Manual - Powered by Cognero
21.
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Practice Test - Chapter 6 20.
SOLUTION:
21.
SOLUTION:
22.
SOLUTION:
eSolutions Manual - Powered by Cognero
23.
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Practice Test - Chapter 6
22.
SOLUTION:
23.
SOLUTION:
24.
SOLUTION:
25.
eSolutions Manual - Powered by Cognero
SOLUTION:
Page 13
Practice Test - Chapter 6
25.
SOLUTION:
26.
SOLUTION:
27.
SOLUTION:
28. eSolutions Manual - Powered by Cognero
SOLUTION:
Page 14
Practice Test - Chapter 6
28.
SOLUTION:
29.
SOLUTION:
30.
SOLUTION:
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Page 15
Practice Test - Chapter 6
30.
SOLUTION:
31. MULTIPLE CHOICE What is the area of the rectangle?
A
2
units
2
B
units
C
2
units
D
units
2
SOLUTION:
Option A is the correct answer.
Solve each inequality.
32.
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SOLUTION:
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Option A is- Chapter the correct6 answer. Practice Test
Solve each inequality.
32.
SOLUTION: Since the radicand of a square root must be greater than or equal to zero, first solve
.
Solve
.
The solution region is
.
33.
SOLUTION: Since the radicand of a square root must be greater than or equal to zero, first solve
.[
Solve
.
eSolutions Manual - Powered by Cognero
Page 17
The solution region is Practice Test - Chapter 6
.
33.
SOLUTION: Since the radicand of a square root must be greater than or equal to zero, first solve
.[
.
Solve
The solution region is
.
34.
SOLUTION: Since the radicand of a square root must be greater than or equal to zero, first solve
.
Solve
.
Manual - Powered by Cognero eSolutions The solution region is
Page 18
.
The solution region is Practice Test - Chapter 6
.
34.
SOLUTION: Since the radicand of a square root must be greater than or equal to zero, first solve
.
Solve
.
The solution region is
.
35.
SOLUTION: Since the radicand of a square root must be greater than or equal to zero, first solve
.
Solve
.
The solution region is eSolutions Manual - Powered by Cognero
. Page 19
The solution region is 6 Practice Test - Chapter
.
35.
SOLUTION: Since the radicand of a square root must be greater than or equal to zero, first solve
.
Solve
.
The solution region is
.
36.
SOLUTION: Since the radicand of a square root must be greater than or equal to zero, first solve
and
.
Solve
.
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Page 20
The solution region is
.
The solution region is Practice Test - Chapter 6
.
36.
SOLUTION: Since the radicand of a square root must be greater than or equal to zero, first solve
and
.
Solve
.
The solution region is
.
37.
SOLUTION: Since the radicand of a square root must be greater than or equal to zero, first solve
.
Solve
.
The solution region is
.
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38.
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The solution region is 6 Practice Test - Chapter
.
37.
SOLUTION: Since the radicand of a square root must be greater than or equal to zero, first solve
.
Solve
.
The solution region is
.
38.
SOLUTION: Since the radicand of a square root must be greater than or equal to zero, first solve
and
.
The common region between the inequalities
is
.
Solve
.
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The solution region is 6 Practice Test - Chapter
.
38.
SOLUTION: Since the radicand of a square root must be greater than or equal to zero, first solve
and
.
is
The common region between the inequalities
.
Solve
.
The solution region is
.
39.
SOLUTION:
Therefore, the inequality is defined for
.
The domain of the function
is
.
The range of the function f (c) is
.
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Since the lower limit of the range of the function itself is
, the solution of the inequality
The solution region is 6 Practice Test - Chapter
.
39.
SOLUTION:
Therefore, the inequality is defined for
.
is
The domain of the function
.
The range of the function f (c) is
.
Since the lower limit of the range of the function itself is is
, the solution of the inequality
.
40. GEOMETRY The area of a triangle with sides of length a, b, and c is given by where
,
. What is the area of the triangle expressed in radical form?
SOLUTION: Substitute 5, 7 and 10 for a, b and c.
The area of the triangle is
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2
ft .
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Since the lower limit of the range of the function itself is Practice Test - Chapter is 6
, the solution of the inequality
.
40. GEOMETRY The area of a triangle with sides of length a, b, and c is given by where
,
. What is the area of the triangle expressed in radical form?
SOLUTION: Substitute 5, 7 and 10 for a, b and c.
The area of the triangle is
2
ft .
eSolutions Manual - Powered by Cognero
Page 25
