, TESTBANK For Calculus Single and
Multivariable, 8th Edition Deborah Hughes-
Hallett
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,Calculus Single and Multivariable, 8e (Hughes-Hallett)
Chapter 1 Foundation for Calculus: Functions and Limits
1.1 Functions and Change
1) The empirical function W = f (t), given in the graph below, comes from the Wall Street
Journal, September 4, 1992. From the graph, determine the range of the function.
A) 2810 to 4090
B) September 1989 to August 1992
C) 0 to 4200
D) January 1988 to January 1993
Answer: A
Diff: 1 Type: BI
Learning Objective: LO 1.1.1 Represent functions by tables, graphs, formulas, and words.
Section: 1.1
1
,2) The curve W = f (t), given in the graph below, comes from the Wall Street Journal, September
4, 1992. W is a function.
Answer: TRUE
Diff: 1 Type: TF
Learning Objective: LO 1.1.1 Represent functions by tables, graphs, formulas, and words.
Section: 1.1
3) Draw a graph which accurately represents the temperature of the contents of a cup left
overnight in a room. Assume the room is at 70° and the cup is originally filled with water
slightly above the freezing point.
Answer:
Diff: 1 Type: ES
Learning Objective: LO 1.1.1 Represent functions by tables, graphs, formulas, and words.
Section: 1.1
2
,4) Suppose the Long Island Railroad train from East Hampton to Manhattan leaves at 4:30 pm
and takes two hours to reach Manhattan. It waits two hours at the station and then returns,
arriving back in East Hampton at 10:30 pm. Draw a graph representing the distance of the train
from the Farmingdale station in East Hampton as a function of time from 4:30 pm to 10:30 pm.
The distance from East Hampton to Manhattan is 150 miles.
Answer:
Diff: 2 Type: ES
Learning Objective: LO 1.1.1 Represent functions by tables, graphs, formulas, and words.
Section: 1.1
3
,5) Suppose we buy quantities and , respectively, of two goods. The following graph shows
the budget constraint where and are the prices of the two goods and k is
the available budget. If the budget is tripled, but prices remain the same, what is the -intercept
of the new budget constraint?
A)
B)
C)
D)
Answer: B
Diff: 2 Type: BI
Learning Objective: LO 1.1.3 Explain that the characterizing property of linear functions is that
the value of the function changes by equal amounts over equal input intervals.
Section: 1.1
4
,6) Suppose we buy quantities and , respectively, of two goods. The following graph shows
the budget constraint where and are the prices of the two goods and k is
the available budget. If the price of the first good is quadrupled, but the other values are
unchanged, what is the -intercept of the new budget constraint?
A)
B)
C)
D)
Answer: C
Diff: 2 Type: BI
Learning Objective: LO 1.1.3 Explain that the characterizing property of linear functions is that
the value of the function changes by equal amounts over equal input intervals.
Section: 1.1
5
,7) A function is linear for x ≤ 2 and also linear for This function has the following values:
Find formula(s) (or equation(s)) which describe this function.
A) f (x) =
B) f (x) =
C) f (x) =
D) f (x) =
Answer: D
Diff: 2 Type: BI
Learning Objective: LO 1.1.4 Find equations of lines given different information such as two
points, slope and point, table of values, graph, etc.
Section: 1.1
8) A pond has a population of 500 frogs. Over a ten-year period of time the number of frogs
drops quickly by 50%, then increases slowly for 5 years before dropping to almost zero. Does
the following graph accurately represent the number of frogs in the pond over the ten-year period
of time?
Answer: yes
Diff: 1 Type: SA
Learning Objective: LO 1.1.7 Explain function notation.
Section: 1.1
6
,9) Suppose a 40° container of water is placed in the freezer overnight. The next morning, it is
put on the counter in a 70° room and then at the end of the day heated to the boiling point. What
is the domain of the function?
A) From 40° F to 70° F.
B) From the middle of the night until the middle of the next day.
C) From 32° F to 212° F.
D) From the first evening until the end of the next day.
Answer: D
Diff: 1 Type: BI
Learning Objective: LO 1.1.2 Find domain and range of a function using graphs, formulas, or
verbal descriptions.
Section: 1.1
10) A school library opened in 1980. In January, 2000 they had 40,000 books. One year later,
they had 40,490 books. Assuming they acquire the same number of books at the start of each
month, how many books did they have in January, 2003?
Answer: 41,470
Diff: 1 Type: SA
Learning Objective: LO 1.1.6 Apply the concept of proportionality.
Section: 1.1
11) A school library opened in January of 1980. In January, 2000 they had 40,000 books. One
year later, they had 40,420 books. Assuming they acquire the same number of books at the start
of each month, how many books did they have in July of 1980?
Answer: 31,810
Diff: 2 Type: SA
Learning Objective: LO 1.1.6 Apply the concept of proportionality.
Section: 1.1
12) A school library opened in 1980. In January, 2000 they had 30,000 books. One year later,
they had 30,450 books. Assuming they acquire the same number of books at the start of each
month, the linear formula for the number of books, N, in the library as a function of the number
of years t the library has been open is given by
A) Part A: 21,000
Part B: 450
B) Part A: 450
Part B: 21,000
C) Part A: 22.5
Part B: 29,550
D) Part A: 29,550
Part B: 22.5
Answer: A
Diff: 1 Type: BI
Learning Objective: LO 1.1.4 Find equations of lines given different information such as two
points, slope and point, table of values, graph, etc.
Section: 1.1
7
, 13) A school library opened in 1980. In January, 2000 they had 20,000 books. One year later,
they had 20,470 books. Assume that they acquire the same number of books at the start of each
month. If you graph the function with domain 1980-2010, describe the y-intercept of the graph
in the context of the problem.
A) The number of books the library had in 1980
B) The number of books the library will have in 2010
C) The year the library had 20,000 books
D) The year the library had no books
Answer: A
Diff: 1 Type: BI
Learning Objective: LO 1.1.8 Find the slope or y-intercept of a linear function.
Section: 1.1
14) Write a formula representing the function that says: The area of a circle is proportional to
the square of its radius.
A) A = πr2
B) C = πd
C) C =
D) A =
Answer: A
Diff: 1 Type: BI
Learning Objective: LO 1.1.6 Apply the concept of proportionality.
Section: 1.1
15) The illumination, I, of a candle is inversely proportional to the square of its distance, d, from
the object it illuminates. Write a formula that expresses this relationship.
A) I =
B) I =
C) I = k
D) I =
Answer: A
Diff: 1 Type: BI
Learning Objective: LO 1.1.6 Apply the concept of proportionality.
Section: 1.1
8
Multivariable, 8th Edition Deborah Hughes-
Hallett
Hello all ,
We have all what you need with best price
Our email :
Our website :
testbanks-store.com
,Calculus Single and Multivariable, 8e (Hughes-Hallett)
Chapter 1 Foundation for Calculus: Functions and Limits
1.1 Functions and Change
1) The empirical function W = f (t), given in the graph below, comes from the Wall Street
Journal, September 4, 1992. From the graph, determine the range of the function.
A) 2810 to 4090
B) September 1989 to August 1992
C) 0 to 4200
D) January 1988 to January 1993
Answer: A
Diff: 1 Type: BI
Learning Objective: LO 1.1.1 Represent functions by tables, graphs, formulas, and words.
Section: 1.1
1
,2) The curve W = f (t), given in the graph below, comes from the Wall Street Journal, September
4, 1992. W is a function.
Answer: TRUE
Diff: 1 Type: TF
Learning Objective: LO 1.1.1 Represent functions by tables, graphs, formulas, and words.
Section: 1.1
3) Draw a graph which accurately represents the temperature of the contents of a cup left
overnight in a room. Assume the room is at 70° and the cup is originally filled with water
slightly above the freezing point.
Answer:
Diff: 1 Type: ES
Learning Objective: LO 1.1.1 Represent functions by tables, graphs, formulas, and words.
Section: 1.1
2
,4) Suppose the Long Island Railroad train from East Hampton to Manhattan leaves at 4:30 pm
and takes two hours to reach Manhattan. It waits two hours at the station and then returns,
arriving back in East Hampton at 10:30 pm. Draw a graph representing the distance of the train
from the Farmingdale station in East Hampton as a function of time from 4:30 pm to 10:30 pm.
The distance from East Hampton to Manhattan is 150 miles.
Answer:
Diff: 2 Type: ES
Learning Objective: LO 1.1.1 Represent functions by tables, graphs, formulas, and words.
Section: 1.1
3
,5) Suppose we buy quantities and , respectively, of two goods. The following graph shows
the budget constraint where and are the prices of the two goods and k is
the available budget. If the budget is tripled, but prices remain the same, what is the -intercept
of the new budget constraint?
A)
B)
C)
D)
Answer: B
Diff: 2 Type: BI
Learning Objective: LO 1.1.3 Explain that the characterizing property of linear functions is that
the value of the function changes by equal amounts over equal input intervals.
Section: 1.1
4
,6) Suppose we buy quantities and , respectively, of two goods. The following graph shows
the budget constraint where and are the prices of the two goods and k is
the available budget. If the price of the first good is quadrupled, but the other values are
unchanged, what is the -intercept of the new budget constraint?
A)
B)
C)
D)
Answer: C
Diff: 2 Type: BI
Learning Objective: LO 1.1.3 Explain that the characterizing property of linear functions is that
the value of the function changes by equal amounts over equal input intervals.
Section: 1.1
5
,7) A function is linear for x ≤ 2 and also linear for This function has the following values:
Find formula(s) (or equation(s)) which describe this function.
A) f (x) =
B) f (x) =
C) f (x) =
D) f (x) =
Answer: D
Diff: 2 Type: BI
Learning Objective: LO 1.1.4 Find equations of lines given different information such as two
points, slope and point, table of values, graph, etc.
Section: 1.1
8) A pond has a population of 500 frogs. Over a ten-year period of time the number of frogs
drops quickly by 50%, then increases slowly for 5 years before dropping to almost zero. Does
the following graph accurately represent the number of frogs in the pond over the ten-year period
of time?
Answer: yes
Diff: 1 Type: SA
Learning Objective: LO 1.1.7 Explain function notation.
Section: 1.1
6
,9) Suppose a 40° container of water is placed in the freezer overnight. The next morning, it is
put on the counter in a 70° room and then at the end of the day heated to the boiling point. What
is the domain of the function?
A) From 40° F to 70° F.
B) From the middle of the night until the middle of the next day.
C) From 32° F to 212° F.
D) From the first evening until the end of the next day.
Answer: D
Diff: 1 Type: BI
Learning Objective: LO 1.1.2 Find domain and range of a function using graphs, formulas, or
verbal descriptions.
Section: 1.1
10) A school library opened in 1980. In January, 2000 they had 40,000 books. One year later,
they had 40,490 books. Assuming they acquire the same number of books at the start of each
month, how many books did they have in January, 2003?
Answer: 41,470
Diff: 1 Type: SA
Learning Objective: LO 1.1.6 Apply the concept of proportionality.
Section: 1.1
11) A school library opened in January of 1980. In January, 2000 they had 40,000 books. One
year later, they had 40,420 books. Assuming they acquire the same number of books at the start
of each month, how many books did they have in July of 1980?
Answer: 31,810
Diff: 2 Type: SA
Learning Objective: LO 1.1.6 Apply the concept of proportionality.
Section: 1.1
12) A school library opened in 1980. In January, 2000 they had 30,000 books. One year later,
they had 30,450 books. Assuming they acquire the same number of books at the start of each
month, the linear formula for the number of books, N, in the library as a function of the number
of years t the library has been open is given by
A) Part A: 21,000
Part B: 450
B) Part A: 450
Part B: 21,000
C) Part A: 22.5
Part B: 29,550
D) Part A: 29,550
Part B: 22.5
Answer: A
Diff: 1 Type: BI
Learning Objective: LO 1.1.4 Find equations of lines given different information such as two
points, slope and point, table of values, graph, etc.
Section: 1.1
7
, 13) A school library opened in 1980. In January, 2000 they had 20,000 books. One year later,
they had 20,470 books. Assume that they acquire the same number of books at the start of each
month. If you graph the function with domain 1980-2010, describe the y-intercept of the graph
in the context of the problem.
A) The number of books the library had in 1980
B) The number of books the library will have in 2010
C) The year the library had 20,000 books
D) The year the library had no books
Answer: A
Diff: 1 Type: BI
Learning Objective: LO 1.1.8 Find the slope or y-intercept of a linear function.
Section: 1.1
14) Write a formula representing the function that says: The area of a circle is proportional to
the square of its radius.
A) A = πr2
B) C = πd
C) C =
D) A =
Answer: A
Diff: 1 Type: BI
Learning Objective: LO 1.1.6 Apply the concept of proportionality.
Section: 1.1
15) The illumination, I, of a candle is inversely proportional to the square of its distance, d, from
the object it illuminates. Write a formula that expresses this relationship.
A) I =
B) I =
C) I = k
D) I =
Answer: A
Diff: 1 Type: BI
Learning Objective: LO 1.1.6 Apply the concept of proportionality.
Section: 1.1
8
