ANSWER: Mid-Chapter Quiz: Lessons 8-1 through 8-3
Simplify each expression.
3. 1. SOLUTION: SOLUTION: ANSWER: ANSWER: 2. 4. SOLUTION: SOLUTION: ANSWER: ANSWER: 3. SOLUTION: 5. eSolutions Manual - Powered by Cognero
SOLUTION: Page 1
ANSWER: r +3
Mid-Chapter
Quiz: Lessons 8-1 through 8-3
5. 6. SOLUTION: SOLUTION: ANSWER: r +3
ANSWER: 6. 7. MUTIPLE CHOICE For all
SOLUTION: A
B
C
D
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7. MUTIPLE CHOICE For all
Page 2
The correct choice is B.
The correct choice is B.
ANSWER: ANSWER: B
Mid-Chapter Quiz: Lessons 8-1 through 8-3
7. MUTIPLE CHOICE For all
8. MULTIPLE CHOICE Identify all values of x for
is undefined.
which
A
F –3, –1
G 3, 1, –9
B
H –3, –1, 9
J –1
C
SOLUTION: D
SOLUTION: The function is undefined at x = −3, x = −1, and x =
9. So the correct choice is H.
The correct choice is B.
ANSWER: B
ANSWER: H
8. MULTIPLE CHOICE Identify all values of x for
which
2
9. What is the LCM of x – x and 3 – 3x?
is undefined.
SOLUTION: F –3, –1
G 3, 1, –9
H –3, –1, 9
2
The LCM of x − x and 3 − 3x is −3x(x − 1).
J –1
ANSWER: –3x(x – 1)
SOLUTION: Simplify each expression.
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The function is undefined at x = −3, x = −1, and x =
9. So the correct choice is H.
SOLUTION: Page 3
ANSWER: ANSWER: –3x(x – 1) Quiz: Lessons 8-1 through 8-3
Mid-Chapter
Simplify each expression.
12. 10. SOLUTION: SOLUTION: ANSWER: ANSWER: 13. 11. SOLUTION: SOLUTION: ANSWER: ANSWER: 12. SOLUTION: 14. SOLUTION: eSolutions Manual - Powered by Cognero
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ANSWER: ANSWER: Mid-Chapter Quiz: Lessons 8-1 through 8-3
15. Determine the perimeter of the rectangle.
14. SOLUTION: SOLUTION: ANSWER: The perimeter of the rectangle is
15. Determine the perimeter of the rectangle.
units.
ANSWER: SOLUTION: 16. TRAVEL Lucita is going to a beach 100 miles
away. She travels half the distance at one rate. The
rest of the distance, she travels 15 miles per hour
slower.
a. If x represents the faster pace in miles per hour,
write an expression that represents the time spent at
that pace.
b. Write an expression for the amount of time spent
at the slower pace.
The perimeter of the rectangle is
units.
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c. Write an expression for the amount of time Lucita
needed to complete the trip.
SOLUTION: a.
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ANSWER: c.
Mid-Chapter Quiz: Lessons 8-1 through 8-3
Identify the asymptotes, domain, and range of
each function.
16. TRAVEL Lucita is going to a beach 100 miles
away. She travels half the distance at one rate. The
rest of the distance, she travels 15 miles per hour
slower.
a. If x represents the faster pace in miles per hour,
write an expression that represents the time spent at
that pace.
b. Write an expression for the amount of time spent
at the slower pace.
17. c. Write an expression for the amount of time Lucita
needed to complete the trip.
SOLUTION: SOLUTION: The vertical asymptote is at x = −3.
a.
The horizontal asymptote is at f (x) = 0.
b.
D = {x | x –3},
R = {f (x) | f (x) 0}
c.
ANSWER: x = –3; f (x) = 0; D = {x | x
–3},
R = {f (x) | f (x)
0}
ANSWER: 18. a.
SOLUTION: b.
c.
Identify the asymptotes, domain, and range of
each function.
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x = –3; f (x) = 0; D = {x | x
–3},
ANSWER: x = 6; f (x) = 4; D = {x | x
R = {f (x) | f (x) 4}
R = {f (x) | f (x) 0}
Mid-Chapter
Quiz: Lessons 8-1 through 8-3
6},
Graph each reciprocal function. State the
domain and range.
19. SOLUTION: The vertical asymptote is at x = 0.
18. SOLUTION: The horizontal asymptote is at
.
D = {x | x
The vertical asymptote is at x = 6.
0}, R = {f (x) | f (x)
0}
ANSWER: The horizontal asymptote is at
.
D = {x | x 6},
R = {f (x) | f (x) 4}
ANSWER: x = 6; f (x) = 4; D = {x | x
R = {f (x) | f (x) 4}
6},
Graph each reciprocal function. State the
domain and range.
D = {x | x
0}, R = {f (x) | f (x)
0}
19. 20. SOLUTION: The vertical asymptote is at x = 0.
The horizontal asymptote is at
.
SOLUTION: The vertical asymptote is at x = 0.
The horizontal asymptote is at
.
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D = {x | x 0}, R = {f (x) | f (x) 0}
Mid-Chapter
Quiz: Lessons 8-1 through 8-3
20. D = {x | x
0}, R = {f (x) | f (x)
0}
21. SOLUTION: The vertical asymptote is at x = 0.
SOLUTION: The vertical asymptote is at x = 1.
The horizontal asymptote is at
.
The horizontal asymptote is at
D = {x | x
0}, R = {f (x) | f (x)
0}
D = {x | x
1}, R = {f (x) | f (x)
ANSWER: ANSWER: D = {x | x
.
0}
0}, R = {f (x) | f (x)
0}
D = {x | x
1}, R = {f (x) | f (x)
0}
21. 22. SOLUTION: The vertical asymptote is at x = 1.
SOLUTION: The vertical asymptote is at x = 0.
The horizontal asymptote is at
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.
The horizontal asymptote is at
.
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D = {x | x Quiz:
(x)8-1
| f (x)
1}, R = {f
0} 8-3
Mid-Chapter
Lessons
through
D = {x | x
0}, R = {f (x) | f (x)
4}
22. 23. SOLUTION: The vertical asymptote is at x = 0.
SOLUTION: The vertical asymptote is at x = −2.
The horizontal asymptote is at
.
The horizontal asymptote is at
D = {x | x
0}, R = {f (x) | f (x)
4}
D = {x | x
–2}, R = {f (x) | f (x)
ANSWER: ANSWER: D = {x | x
.
D = {x | x
0}, R = {f (x) | f (x)
–2}, R = {f (x) | f (x)
–5}
–5}
4}
24. 23. SOLUTION: The vertical asymptote is at x = 3.-0
SOLUTION: The vertical asymptote is at x = −2.
The horizontal asymptote is at
The horizontal asymptote is at
.
.
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Mid-Chapter Quiz: Lessons 8-1 through 8-3
D = {x | x –2}, R = {f (x) | f (x) –5}
D = {x | x
3}, R = {f (x) | f (x)
2}
25. SANDWICHES A group makes 45 sandwiches to
take on a picnic. The number of sandwiches a person
can eat depends on how many people go on the trip.
24. SOLUTION: The vertical asymptote is at x = 3.-0
a. Write a function to represent this situation.
b. Graph the function.
The horizontal asymptote is at
.
SOLUTION: a.
b.
D = {x | x
3}, R = {f (x) | f (x)
2}
ANSWER: ANSWER: a.
b.
D = {x | x
3}, R = {f (x) | f (x)
2}
25. SANDWICHES A group makes 45 sandwiches to
take on a picnic. The number of sandwiches a person
can eat depends on how many people go on the trip.
a. Write a function to represent this situation.
b. Graph the function.
SOLUTION: a.
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b.
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