,TESTBANK FOR for Applied Calculus 7e Hughes-Hallett
Hello all ,
We have all what you need with best price
Our email :
Our website :
testbanks-store.com
,Applied Calculus, 7e (Hughes-Hallett)
Chapter 1 Functions and Change
1.1 What Is a Function?
1) f (x) is the age of Antarctic ice (in hundreds of years) at a depth of x meters below the
surface. increasing or decreasing?
Answer: increasing
Diff: 1 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
2) A graph of y = f (x) is given in the following figure.
A. What is f (5) (to the nearest whole number)?
B. What is the domain of the function?
Answer:
A. 0
B. 0 ≤ x ≤ 7
Diff: 1 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
1
,3) From the following table,
A. Find f (5)
B. Find the value(s) of x for which f (x) = 1. If there is more than one, list them in increasing
order, separated by commas.
x 1 2 3 4 5 6
f (x) 1 3 7 6 4 1
Answer:
A. 4
B. 1, 6
Diff: 2 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
4) Let y = f (x) = 2 - 5.
A. Find the value of y when x is zero.
B. Find f (3).
Answer:
A. -5
B. 13
Diff: 2 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
2
,5) The empirical function P = g(t) graphed below represents the population P of a city (in
thousands of people) at time t. The ________ of the function is from 1980 to 2020, and the
________ of the function is from approximately 35,000 to 70,000 people.
Answer: domain; range
Diff: 2 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
6) The graph of y = f (x) is shown in the following figure. The ________ of f (x) is
and the ________ of f (x) is
Answer: domain; range
Diff: 2 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
3
,7) The graph of y = f (x) is shown in the following figure. Estimate f (1) (to the nearest
integer).
Answer: -5
Diff: 1 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
8) The graph of y = f (x) is shown in the following figure. Is the graph increasing or decreasing
around x = 3?
Answer: increasing
Diff: 1 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
4
,9) Suppose the graph of f is in the figure below. Is f (B) positive, negative, or zero?
Answer: positive
Diff: 1 Var: 1
Section: 1.1
Learning Objectives: Interpret information about a function given by a graph, table, or words.
1.2 Linear Functions
1) Could the following table represent a linear function? Answer yes or no.
t 1 2 3 4
p 3 4 6 9
Answer: no
Diff: 1 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
5
,2) A. Which two lines in the following figure have the same slope? Enter your answer as "I and
II," etc.
B. Which two lines have the same y-intercept?
C. Which line has the largest slope?
D. Which line has the largest y-intercept?
Answer:
A. III and IV
B. II and III
C. I
D. I
Diff: 1 Var: 1
Section: 1.2
Learning Objectives: Interpret properties of linear functions: slope, intercepts.
3) The average weight in pounds of American men in their sixties (in 2018) as a function of their
heights in inches is given in the following table. The formula that expresses the weight w in
terms of the height h is given by w = ________ + ________h.
height (h) 68 69 70 71 72 73
weight (w) 166 171 176 181 186 191
Answer:
Part A: -174
Part B: 5
Diff: 2 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
6
,4) Suppose that y = f (t) is the distance in miles traveled in t hours by a car moving at 65 miles
per hour. Give a formula for the function f (t).
Answer: f (t) = 65t
Diff: 1 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
5) Find the value for b in the following table of values for the linear function f.
x 0 5 10 15 20
f (x) 10 20 a b c
Answer: 40
Diff: 1 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
6) Find a formula for the linear function f.
x 0 100 200 300 400
f (x) 10 15 ? ? ?
A) f (x) = 0.05x + 10 B) f (x) = 100x + 10
C) f (x) = 15x + 10 D) f (x) = 0.15x + 10
Answer: A
Diff: 1 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
7) A car is worth $13,000 when it is 1 year old, and it is worth $10,000 when it is three years old.
A. Write the value of the car, V (in dollars), as a function of the age of the car, a (in years).
Assume this is a linear function.
B. How much does the car depreciate in value each year?
C. How much was the car worth when it was first purchased?
Answer:
A. V = 14,500 - 1500a
B. $1500
C. $14,500
Diff: 2 Var: 1
Section: 1.2
Learning Objectives: Interpret properties of linear functions: slope, intercepts.
7
, 8) The equation of the line through the points (1, 3) and (-1, -5) is:
Answer: y = -1 + 4x
Diff: 2 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
9) The bill for electricity is $150 when 40 kilowatt hours are used and $250 when 80 kilowatt
hours are used.
A. The base cost (without using any electricity) is $________.
B. Each additional kilowatt hour used costs $________.
Answer:
A. 50
B. 2.5
Diff: 2 Var: 1
Section: 1.2
Learning Objectives: Interpret properties of linear functions: slope, intercepts.
10) A school library opened in 1980. In January of 2000, they had 44,000 books. One year later,
they had 44,660 books. Assume they acquire the same number of books at the start of each
month.
A. How many books did they have in January of 2003?
B. How many books did they have in July of 1980?
Answer:
A. 45,980
B. 31,130
Diff: 1 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
11) A school library opened in 1980. In January of 2000, they had 16,000 books. One year later,
they had 16,960 books. Assuming they acquire the same number of books at the start of each
month, give a 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.
Answer: N = -3200 + 960t
Diff: 1 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
8
Hello all ,
We have all what you need with best price
Our email :
Our website :
testbanks-store.com
,Applied Calculus, 7e (Hughes-Hallett)
Chapter 1 Functions and Change
1.1 What Is a Function?
1) f (x) is the age of Antarctic ice (in hundreds of years) at a depth of x meters below the
surface. increasing or decreasing?
Answer: increasing
Diff: 1 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
2) A graph of y = f (x) is given in the following figure.
A. What is f (5) (to the nearest whole number)?
B. What is the domain of the function?
Answer:
A. 0
B. 0 ≤ x ≤ 7
Diff: 1 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
1
,3) From the following table,
A. Find f (5)
B. Find the value(s) of x for which f (x) = 1. If there is more than one, list them in increasing
order, separated by commas.
x 1 2 3 4 5 6
f (x) 1 3 7 6 4 1
Answer:
A. 4
B. 1, 6
Diff: 2 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
4) Let y = f (x) = 2 - 5.
A. Find the value of y when x is zero.
B. Find f (3).
Answer:
A. -5
B. 13
Diff: 2 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
2
,5) The empirical function P = g(t) graphed below represents the population P of a city (in
thousands of people) at time t. The ________ of the function is from 1980 to 2020, and the
________ of the function is from approximately 35,000 to 70,000 people.
Answer: domain; range
Diff: 2 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
6) The graph of y = f (x) is shown in the following figure. The ________ of f (x) is
and the ________ of f (x) is
Answer: domain; range
Diff: 2 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
3
,7) The graph of y = f (x) is shown in the following figure. Estimate f (1) (to the nearest
integer).
Answer: -5
Diff: 1 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
8) The graph of y = f (x) is shown in the following figure. Is the graph increasing or decreasing
around x = 3?
Answer: increasing
Diff: 1 Var: 1
Section: 1.1
Learning Objectives: Understand the properties and terminology of functions: input/output,
function notation, intercepts, increasing/decreasing.
4
,9) Suppose the graph of f is in the figure below. Is f (B) positive, negative, or zero?
Answer: positive
Diff: 1 Var: 1
Section: 1.1
Learning Objectives: Interpret information about a function given by a graph, table, or words.
1.2 Linear Functions
1) Could the following table represent a linear function? Answer yes or no.
t 1 2 3 4
p 3 4 6 9
Answer: no
Diff: 1 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
5
,2) A. Which two lines in the following figure have the same slope? Enter your answer as "I and
II," etc.
B. Which two lines have the same y-intercept?
C. Which line has the largest slope?
D. Which line has the largest y-intercept?
Answer:
A. III and IV
B. II and III
C. I
D. I
Diff: 1 Var: 1
Section: 1.2
Learning Objectives: Interpret properties of linear functions: slope, intercepts.
3) The average weight in pounds of American men in their sixties (in 2018) as a function of their
heights in inches is given in the following table. The formula that expresses the weight w in
terms of the height h is given by w = ________ + ________h.
height (h) 68 69 70 71 72 73
weight (w) 166 171 176 181 186 191
Answer:
Part A: -174
Part B: 5
Diff: 2 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
6
,4) Suppose that y = f (t) is the distance in miles traveled in t hours by a car moving at 65 miles
per hour. Give a formula for the function f (t).
Answer: f (t) = 65t
Diff: 1 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
5) Find the value for b in the following table of values for the linear function f.
x 0 5 10 15 20
f (x) 10 20 a b c
Answer: 40
Diff: 1 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
6) Find a formula for the linear function f.
x 0 100 200 300 400
f (x) 10 15 ? ? ?
A) f (x) = 0.05x + 10 B) f (x) = 100x + 10
C) f (x) = 15x + 10 D) f (x) = 0.15x + 10
Answer: A
Diff: 1 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
7) A car is worth $13,000 when it is 1 year old, and it is worth $10,000 when it is three years old.
A. Write the value of the car, V (in dollars), as a function of the age of the car, a (in years).
Assume this is a linear function.
B. How much does the car depreciate in value each year?
C. How much was the car worth when it was first purchased?
Answer:
A. V = 14,500 - 1500a
B. $1500
C. $14,500
Diff: 2 Var: 1
Section: 1.2
Learning Objectives: Interpret properties of linear functions: slope, intercepts.
7
, 8) The equation of the line through the points (1, 3) and (-1, -5) is:
Answer: y = -1 + 4x
Diff: 2 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
9) The bill for electricity is $150 when 40 kilowatt hours are used and $250 when 80 kilowatt
hours are used.
A. The base cost (without using any electricity) is $________.
B. Each additional kilowatt hour used costs $________.
Answer:
A. 50
B. 2.5
Diff: 2 Var: 1
Section: 1.2
Learning Objectives: Interpret properties of linear functions: slope, intercepts.
10) A school library opened in 1980. In January of 2000, they had 44,000 books. One year later,
they had 44,660 books. Assume they acquire the same number of books at the start of each
month.
A. How many books did they have in January of 2003?
B. How many books did they have in July of 1980?
Answer:
A. 45,980
B. 31,130
Diff: 1 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
11) A school library opened in 1980. In January of 2000, they had 16,000 books. One year later,
they had 16,960 books. Assuming they acquire the same number of books at the start of each
month, give a 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.
Answer: N = -3200 + 960t
Diff: 1 Var: 1
Section: 1.2
Learning Objectives: Build linear functions from data, words, or graphs.
8
