AnswersRecovery Content Sec Math 3 - Quarter 4 - 202627Domain and Range

Domain and Range — Unit test Answers

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1
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The data in the table represents the predicted price of a gallon of milk, y, for number of years, x.

Question illustration
y
y = ax + b
y
y = ax2 + b
y
y = abx
y
y = a + bx
2
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For which scatterplot is the correlation strongest?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach negative infinity. To which family of functions might the described function belong?

a
absolute value
e
exponential
c
cube root
s
square root
4

Drew creates a table of ordered pairs representing the width and area of a dog pen.

Question illustration
D
Drew has 36 feet of fencing and wants to represent the possible areas of the dog pen for possible widths.
D
Drew has a maximum of 81 feet of fencing to use around the pen, and the length must be twice the width.
D
Drew is building a rectangular dog pen with a length that is up to 4 feet more than the width and has a perimeter of at least 77 feet.
D
Drew wants to build a dog pen that is between 7 feet and 11 feet in width and uses, at most, 18 feet of fencing.
5

The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Review the table of values.xy1104553.572101.5

A
power model; y = 10.15x–0.68
B
exponential model; y = 12.80(0.78)x
C
logarithmic model; y = 9.98 – 3.85 ln x
D
quadratic model; y = 0.13x2 – 2.38x + 12.27
7

A graph with both axes numbered 1 to 10. A line increases from 1 to 3 then decreases from 3 to 5.

Question illustration
A
f(x) = 2(x – 5)(x – 1)
B
f(x) = –2(x – 5)(x – 1)
C
f(x) = 2(x + 5)(x + 1)
D
f(x) = –2(x + 5)(x + 1)
8

The equation of the piecewise function f(x) is below. What is the value of f(–2)?

Question illustration
A
f(–2) = –6
B
f(–2) = –4
C
f(–2) = 0
D
f(–2) = 3
9

Mark and Jessica are each making a linear model to predict the population of squirrels in the town park. They are both using the same data points to find an equation of the line of best fit: the squirrel population, p, in 2002 and the squirrel population, q, in 2011. Mark is using the year as the x-value, and he represents his data as (2002, p) and (2011, q). Jessica is using the years since 2000 as her x-value, and she represents her data as (2, p) and (11, q). Which statement best describes how their prediction equations compare?

A
Their equations have the same slopes and y-intercepts.
B
Their equations have different slopes and y-intercepts.
C
Their equations have different y-intercepts but the same slopes.
D
Their equations have the same y-intercepts but different slopes.
10

How is the graph of transformed to produce the graph of ?

Question illustration
T
The graph is stretched horizontally by a factor of 2 and then moved right 4 units.
T
The graph is compressed horizontally by a factor of 2 and then moved down 4 units.
T
The graph is compressed horizontally by a factor of 2, moved left 4 units, and moved down 4 units.
T
The graph is stretched horizontally by a factor of 2, moved left 4 units, and moved down 4 units.
11

What are the domain and range of the function below?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
12

What values are excluded from the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
13

The quadratic regression equation y = –0.1x2 + 143.99x – 13,242.84 models expected company profits in terms of the number of pairs of shoes sold.Based on the regression equation, approximately how much profit can the company expect if it sells 400 pairs of shoes?

A
$28,400
B
$28,400
C
$41,600
D
$41,600
E
$44,300
F
$44,300
G
$60,400
H
$60,400
14

The scatterplot shows the number of minutes spent reading (x) and the number of pages read (y) by each of seven students last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?

Question illustration
A
mc009-2.jpg
Option A
B
mc009-3.jpg
Option B
C
mc009-4.jpg
Option C
D
mc009-5.jpg
Option D
15

Which of the following accurately lists all discontinuities of the function below?

Question illustration
A
point discontinuity at x = –2
B
point discontinuity at x = 4; jump discontinuity at x = –2
C
point discontinuities at x = –4 and x = 4; jump discontinuity at x = –2
D
jump discontinuities at x = –4, x = –2, and x = 4
17

A manager needs to order company shirts for each employee. She was quoted the following rates. If she orders 75 shirts and passes the cost along to the employees, what would each employee owe for the shirt if each pays the same amount? Round to the nearest cent. Price Quote for Company Work ShirtsNumber of shirts orderedCost per shirtFirst 19 shirts$10Next 30 shirts$8Each shirt over 49$5

A
$7.40
B
$7.47
C
$7.53
D
$7.66
22

What is the range of the function graphed below?

Question illustration
A
mc022-2.jpg
Option A
B
mc022-3.jpg
Option B
C
mc022-4.jpg
Option C
D
mc022-5.jpg
Option D
23

Review the table showing the population of a city.Years since 2000Population (Thousands of People)211.2312.5513.4615.6722.0924.61225.11626.0

A
a = 27.47, b = 3.26, and c = 0.30
B
a = 27.47, b = 3.26, and c = 0.30
C
a = 3.26, b = 0.30, and c = 27.47
D
a = 3.26, b = 0.30, and c = 27.47
E
a = –0.09, b = 4.53, and c = 2.81
F
a = –0.09, b = 4.53, and c = 2.81
G
a = –0.09, b = 2.81, and c = 4.53
H
a = –0.09, b = 2.81, and c = 4.53
24

Review the table of values showing the mass of a radioactive isotope over time.Time (Seconds)Mass Remaining (Milligrams)2134856.5102121.2

A
In the logarithmic regression model, the explanatory variable is time and the response variable is the remaining mass.
B
In the logarithmic regression model, the explanatory variable is time and the response variable is the remaining mass.
C
In the logarithmic regression model, the explanatory variable is the remaining mass and the response variable is time.
D
In the logarithmic regression model, the explanatory variable is the remaining mass and the response variable is time.
E
In the exponential regression model, the explanatory variable is time and the response variable is the remaining mass.
F
In the exponential regression model, the explanatory variable is time and the response variable is the remaining mass.
G
In the exponential regression model, the explanatory variable is the remaining mass and the response variable is time.
H
In the exponential regression model, the explanatory variable is the remaining mass and the response variable is time.
25

The table shows the value of a savings bond that doubles in value after 5 years.

Question illustration
A
The bond has an original value of $57.70 and grows at a rate of 15%.
B
The bond has an original value of $57.50 and grows at a rate of 85%.
C
The bond had an original value of $50 and grows at a rate of 15%.
D
The bond has an original value of $50 and grows at a rate of 85%.

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