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Deck 3: Relations and Functions
Full screen (f)
Question
In the function 
, identify the slope.
A) 1
B) -4
C) -3
D) 3
E) none of these
, identify the slope.A) 1
B) -4
C) -3
D) 3
E) none of these
Question
In the function 
, identify 
A)
B)
C)
D)
E) none of these
, identify A)
B)
C)
D)
E) none of these
Question
Change the function 
So that its graph is shifted up 4 units.
A)
B)
C)
D)
E) none of these
So that its graph is shifted up 4 units.A)
B)
C)
D)
E) none of these
Question
Change the function 
So that its graph is shifted horizontally right 6 units and vertically down 5 units.
A)
B)
C)
D)
E) none of these
So that its graph is shifted horizontally right 6 units and vertically down 5 units.A)
B)
C)
D)
E) none of these
Question
Change the function 
So that its graph is shifted horizontally left 3 units and vertically up 5 units.
A)
B)
C)
D)
E) none of these
So that its graph is shifted horizontally left 3 units and vertically up 5 units.A)
B)
C)
D)
E) none of these
Question
Change the function 
So that its graph is shifted horizontally left 3 units and vertically down 8 units.
A)
B)
C)
D)
E) none of these
So that its graph is shifted horizontally left 3 units and vertically down 8 units.A)
B)
C)
D)
E) none of these
Question
Write the function that represents the graph and change the function so that the graph is shifted vertically up 4 units. Write your answer in slope-intercept form. 
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Question
Find the function that represents the graph and use it to change the function so that the graph is shifted horizontally right 2 units and vertically down 1 unit. Write your answer in slope-intercept form. 
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Question
Use the graph of 
And translations to graph the function 
.
A)
B)
C)
D)
E) none of these
And translations to graph the function .
A)
B)
C)
D)
E) none of these
Question
Use the graph of the function 
And translation to graph the function 
.
A)
B)
C)
D)
E) none of these
And translation to graph the function .
A)
B)
C)
D)
E) none of these
Question
Identify the vertex of the function 
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Question
Change the function 
So that its graph is shifted horizontally right 4 units and vertically down 6 units.
A)
B)
C)
D)
E) none of these
So that its graph is shifted horizontally right 4 units and vertically down 6 units.A)
B)
C)
D)
E) none of these
Question
Change the function 
So that its graph is shifted horizontally left 3 units and vertically up 7 units.
A)
B)
C)
D)
E) none of these
So that its graph is shifted horizontally left 3 units and vertically up 7 units.A)
B)
C)
D)
E) none of these
Question
Change the function 
So that its graph is shifted vertically down 15 units.
A)
B)
C)
D)
E) none of these
So that its graph is shifted vertically down 15 units.A)
B)
C)
D)
E) none of these
Question
Use the graph of 
And translation to graph the function 
.
A)
B)
C)
D)
E) none of these
And translation to graph the function .
A)
B)
C)
D)
E) none of these
Question
Use a table of ordered pairs to graph the function 
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Question
Use a table of values to graph the function 
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Question
Use a table of values to graph the function 
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Question
Use the given graph to identify the vertex. 
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Question
Use interval notation to represent the range of the function whose graph is shown. 
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Question
An absolute value function has vertex 
and opens up. Use interval notation to represent the range.
A)
B)
C)
D)
E) none of these
and opens up. Use interval notation to represent the range.A)
B)
C)
D)
E) none of these
Question
An absolute value function has vertex 
and opens down. Use interval notation to represent the range.
A)
B)
C)
D)
E) none of these
and opens down. Use interval notation to represent the range.A)
B)
C)
D)
E) none of these
Question
Use the graph. 
-Estimate any real zeros.
A)
B)
C)
D)
E) none of these
-Estimate any real zeros.
A)
B)
C)
D)
E) none of these
Question
Use the graph.
-Identify the maximum or minimum output value.
A) minimum: -5
B) minimum: -3
C) maximum: -5
D) maximum: -3
E) none of these
-Identify the maximum or minimum output value.
A) minimum: -5
B) minimum: -3
C) maximum: -5
D) maximum: -3
E) none of these
Question
Use the absolute value function 
-Identify the vertex.
A)
B)
C)
D)
E) none of these
-Identify the vertex.
A)
B)
C)
D)
E) none of these
Question
Use the absolute value function
-Identify the maximum or minimum output value.
A) minimum: -10
B) maximum: -10
C) maximum: 5
D) minimum: 5
E) none of these
-Identify the maximum or minimum output value.
A) minimum: -10
B) maximum: -10
C) maximum: 5
D) minimum: 5
E) none of these
Question
Use algebra to find any real zeros of the absolute value function 
A)
B)
C)
D)
E) no real zeros
A)
B)
C)
D)
E) no real zeros
Question
Use algebra to find any real zeros of the absolute value function 
A)
B)
C)
D)
E) no real zeros
A)
B)
C)
D)
E) no real zeros
Question
Use algebra to find any real zeros of the absolute value function 
A)
B)
C)
D)
E) no real zeros
A)
B)
C)
D)
E) no real zeros
Question
Use interval notation to represent the range of the absolute value function 
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Question
A 1200 foot long fence is being painted. After 2 hours, 96 feet has to be painted. Find the average rate of change in the number of unpainted fence per hour.
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Question
At 5:00 AM the temperature outside was 40 degrees and rose continuously till 3 PM when the temperature was 60 degrees. What was the average rate of change of the temperature in degrees per hour during this time period?
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Question
A cell phone plan charges a $29.99 flat fee per month plus $0.10 for each text message sent. Write a linear function that models the cost, 
, of the plan each month for 
Number of texts.
A)
B)
C)
D)
E) none of these
, of the plan each month for Number of texts.A)
B)
C)
D)
E) none of these
Question
The cost to rent a 10 by 10 storage space is $75 per month plus a nonrefundable deposit of $145. Write a linear function that gives the cost, 
, of the storage container after 
Months.
A)
B)
C)
D)
E) none of these
, of the storage container after Months.A)
B)
C)
D)
E) none of these
Question
A new company purchases $42,000 of computer equipment. The equipment decreases in value $600 per year.
-Find a linear equation that models the value,
, of the equipment 
Years after purchase.
A)
B)
C)
D)
E) none of these
-Find a linear equation that models the value,
, of the equipment Years after purchase.A)
B)
C)
D)
E) none of these
Question
A new company purchases $42,000 of computer equipment. The equipment decreases in value $600 per year.
-Evaluate the function to find the value of the equipment in 3 years.
A)
B)
C)
D)
E) none of these
-Evaluate the function to find the value of the equipment in 3 years.
A)
B)
C)
D)
E) none of these
Question
A 16-inch candle burns at a rate of 0.20 inches per hour.
-Write a linear function that models the length of the candle,
, after 
Hours of burning.
A)
B)
C)
D)
E) none of these
-Write a linear function that models the length of the candle,
, after Hours of burning.A)
B)
C)
D)
E) none of these
Question
Question
Question
A truck has a 62-gallon gas tank. It gets an average of 10 miles per gallon when driven on the freeway.
-Write a linear function that models the amount of gas left in the tank,
, after driving 
Miles on the freeway.
A)
B)
C)
D)
E) none of these
-Write a linear function that models the amount of gas left in the tank,
, after driving Miles on the freeway.A)
B)
C)
D)
E) none of these
Question
Question
The monthly sales of hybrid cars in the United States for the first 8 months of a recent year are shown in the graph. The line is the best fit model for this data. Use the given two data points to write a linear function for this data. 
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Question
Major League Baseball has a labor agreement that states that if any team's payroll exceeds $128 million in a certain year would have to pay a luxury tax of 22.5% (for the first offense). The linear function 
Represents the tax teams must pay for 
Million dollars in payroll. Evaluate the function to find the tax a team would have to pay if their payroll were $165 million dollars.
A) $8.325 million
B) $36 million
C) $14.4 million
D) $3.6 million
E) none of these
Represents the tax teams must pay for Million dollars in payroll. Evaluate the function to find the tax a team would have to pay if their payroll were $165 million dollars.A) $8.325 million
B) $36 million
C) $14.4 million
D) $3.6 million
E) none of these
Question
A rancher has a 5000-gallon water tank that he uses to water his cattle. He uses 250 gallons per day for the cows.
-Write a linear function that is a model for the number of gallons of water,
, in the tank 
Days after filling it.
A)
B)
C)
D)
E) none of these
-Write a linear function that is a model for the number of gallons of water,
, in the tank Days after filling it.A)
B)
C)
D)
E) none of these
Question
Question
Use the quadratic function n 
to answer the questions.
-Use a table of ordered pairs to graph the function
A)
B)
C)
D)
E) none of these
to answer the questions.-Use a table of ordered pairs to graph the function
A)
B)
C)
D)
E) none of these
Question
Use the quadratic function n to answer the questions.
-Identify the vertex.
A)
B)
C)
D)
E) none of these
to answer the questions.-Identify the vertex.
A)
B)
C)
D)
E) none of these
Question
Use the quadratic function n to answer the questions.
-Identify the maximum or minimum output value.
A) maximum: -7
B) minimum: -7
C) maximum: 7
D) minimum: 7
E) none of these
to answer the questions.-Identify the maximum or minimum output value.
A) maximum: -7
B) minimum: -7
C) maximum: 7
D) minimum: 7
E) none of these
Question
Use the quadratic function n to answer the questions.
-Write the equation of the axis of symmetry.
A)
B)
C)
D)
E) none of these
to answer the questions.-Write the equation of the axis of symmetry.
A)
B)
C)
D)
E) none of these
Question
Use the function 
to answer the questions.
-Use a table of ordered pairs to graph the function
A)
B)
C)
D)
E) none of these
to answer the questions.-Use a table of ordered pairs to graph the function
A)
B)
C)
D)
E) none of these
Question
Use the function to answer the questions.
-Use interval notation to represent the domain.
A)
B)
C)
D)
E) none of these
to answer the questions.-Use interval notation to represent the domain.
A)
B)
C)
D)
E) none of these
Question
Use the function to answer the questions.
-Use interval notation to represent the range.
A)
B)
C)
D)
E) none of these
to answer the questions.-Use interval notation to represent the range.
A)
B)
C)
D)
E) none of these
Question
Evaluate the function 
for the input value 
.
A) 232
B) -284
C) 228
D) -280
E) none of these
for the input value .
A) 232
B) -284
C) 228
D) -280
E) none of these
Question
Evaluate the function 
for the input value 
.
A)
B)
C)
D)
E) none of these
for the input value .
A)
B)
C)
D)
E) none of these
Question
Use algebra to find all real zeros of the function 
A)
B)
C)
D)
E) no real zeros
A)
B)
C)
D)
E) no real zeros
Question
Use algebra to find all real zeros of the function 
A)
B)
C)
D)
E) no real zeros
A)
B)
C)
D)
E) no real zeros
Question
Use algebra to find all real zeros of the function 
A)
B)
C)
D)
E) no real zeros
A)
B)
C)
D)
E) no real zeros
Question
Use the given graph of a quadratic function. 
-Estimate the vertex.
A)
B)
C)
D)
E) none of these
-Estimate the vertex.
A)
B)
C)
D)
E) none of these
Question
Use the given graph of a quadratic function.
-Use interval notation to represent the range.
A)
B)
C)
D)
E) none of these
-Use interval notation to represent the range.
A)
B)
C)
D)
E) none of these
Question
Use the given graph of a quadratic function.
-Identify any real zeros.
A)
B)
C)
D)
E) no real zeros
-Identify any real zeros.
A)
B)
C)
D)
E) no real zeros
Question
The vertex of a quadratic function is 
, and the graph opens up. Use interval notation to represent the domain and range.
A)
B)
C)
D)
E) none of these
, and the graph opens up. Use interval notation to represent the domain and range.A)
B)
C)
D)
E) none of these
Question
The vertex of a quadratic function is 
And the graph opens down. Use interval notation to represent the domain and the range.
A)
B)
C)
D)
E) none of these
And the graph opens down. Use interval notation to represent the domain and the range.A)
B)
C)
D)
E) none of these
Question
Evaluate the function 
for the input value 
.
A)
B)
C)
D)
E) none of these
for the input value .
A)
B)
C)
D)
E) none of these
Question
For the function 
; find 
.
A) 10
B) -50
C) 5
D) -5
E) none of these
; find .
A) 10
B) -50
C) 5
D) -5
E) none of these
Question
A function is 
. When the input value of the function is 
, what is the output value?
A)
B)
C)
D)
E) none of these
. When the input value of the function is , what is the output value?
A)
B)
C)
D)
E) none of these
Question
Use the graph of the function to find 
.
A) -3
B) 1
C) 2
D) 0
E) none of these
.A) -3
B) 1
C) 2
D) 0
E) none of these
Question
Use the graph of the function 
to find 
when 
.
A) 2
B) 3
C) 6
D) 0
E) none of these
to find when .
A) 2
B) 3
C) 6
D) 0
E) none of these
Question
Use the graph of the function 
To find 
.
A) 0
B) 6
C) -6
D) 7
E) none of these
To find .A) 0
B) 6
C) -6
D) 7
E) none of these
Question
Find the slope of the line that passes through the points 
and 
.
A)
B)
C)
D) 3
E) none of these
and .A)
B)
C)
D) 3
E) none of these
Question
Write the equation of the line that passes through the points 
and 
. Write your answer in slope-intercept form.
A)
B)
C)
D)
E) none of these
and . Write your answer in slope-intercept form.A)
B)
C)
D)
E) none of these
Question
Identify the 
-intercept of the line that passes through the points 
and 
A)
B)
C)
D)
E) none of these
-intercept of the line that passes through the points and A)
B)
C)
D)
E) none of these
Question
Using 
notation, write the function that the graph represents. 
A)
B)
C)
D)
E) none of these
notation, write the function that the graph represents. A)
B)
C)
D)
E) none of these
Question
Use this information. A new company purchases $66,500 worth of computer equipment. The function 
represents the relationship of the number of months after purchasing the computer equipment, 
, and the value of the computer equipment, 
.
-Evaluate
A) $63,500
B) $38,000
C) $37,500
D) $37,000
E) none of these
represents the relationship of the number of months after purchasing the computer equipment, , and the value of the computer equipment, .-Evaluate
A) $63,500
B) $38,000
C) $37,500
D) $37,000
E) none of these
Question
Use this information. A new company purchases $66,500 worth of computer equipment. The function represents the relationship of the number of months after purchasing the computer equipment, , and the value of the computer equipment, .
-Find any real zeros.
A) 70 months
B) 90 months
C) 80 months
D) $
E) There are no real zeros.
represents the relationship of the number of months after purchasing the computer equipment, , and the value of the computer equipment, .-Find any real zeros.
A) 70 months
B) 90 months
C) 80 months
D) $
E) There are no real zeros.
Question
The function 
Describes the balance in an investment fund, 
, after 
Months of withdrawing $330. Find any real zeros.
A) 23 months
B) 22 months
C) 21 months
D) 20 months
E) none of these
Describes the balance in an investment fund, , after Months of withdrawing $330. Find any real zeros.A) 23 months
B) 22 months
C) 21 months
D) 20 months
E) none of these
Question
For the function 
use interval notation to represent the domain and the range.
A)
B)
C)
D)
E) none of these
use interval notation to represent the domain and the range.A)
B)
C)
D)
E) none of these
Question
For the function 
use interval notation to represent the domain and range.
A)
B)
C)
D)
E) none of these
use interval notation to represent the domain and range.A)
B)
C)
D)
E) none of these
Question
Use the bar graph.
The bar graph shows the number of tornado reports each decade since the 1950s
-Use roster notation to represent the correspondence between the decade (the input) and the number of tornado reportings (the output).
A)
B)
C)
D)
E) none of these
The bar graph shows the number of tornado reports each decade since the 1950s
-Use roster notation to represent the correspondence between the decade (the input) and the number of tornado reportings (the output).
A)
B)
C)
D)
E) none of these
Question
Use the bar graph.
The bar graph shows the number of tornado reports each decade since the 1950s
-Use roster notation to represent the domain of the relation.
A)
B)
C)
D)
E) none of these
The bar graph shows the number of tornado reports each decade since the 1950s
-Use roster notation to represent the domain of the relation.
A)
B)
C)
D)
E) none of these
Question
Use the bar graph.
The bar graph shows the number of tornado reports each decade since the 1950s
-Use roster notation to represent the range of the relation.
A)
B)
C)
D)
E) none of these
The bar graph shows the number of tornado reports each decade since the 1950s
-Use roster notation to represent the range of the relation.
A)
B)
C)
D)
E) none of these
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Deck 3: Relations and Functions
1
In the function , identify the slope.
A) 1
B) -4
C) -3
D) 3
E) none of these
, identify the slope.A) 1
B) -4
C) -3
D) 3
E) none of these
-4
2
In the function , identify
A)
B)
C)
D)
E) none of these
, identify A)
B)
C)
D)
E) none of these
3
Change the function So that its graph is shifted up 4 units.
A)
B)
C)
D)
E) none of these
So that its graph is shifted up 4 units.A)
B)
C)
D)
E) none of these
4
Change the function So that its graph is shifted horizontally right 6 units and vertically down 5 units.
A)
B)
C)
D)
E) none of these
So that its graph is shifted horizontally right 6 units and vertically down 5 units.A)
B)
C)
D)
E) none of these
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5
Change the function So that its graph is shifted horizontally left 3 units and vertically up 5 units.
A)
B)
C)
D)
E) none of these
So that its graph is shifted horizontally left 3 units and vertically up 5 units.A)
B)
C)
D)
E) none of these
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6
Change the function So that its graph is shifted horizontally left 3 units and vertically down 8 units.
A)
B)
C)
D)
E) none of these
So that its graph is shifted horizontally left 3 units and vertically down 8 units.A)
B)
C)
D)
E) none of these
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7
Write the function that represents the graph and change the function so that the graph is shifted vertically up 4 units. Write your answer in slope-intercept form.
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
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8
Find the function that represents the graph and use it to change the function so that the graph is shifted horizontally right 2 units and vertically down 1 unit. Write your answer in slope-intercept form.
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
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9
Use the graph of And translations to graph the function
.
A)
B)
C)
D)
E) none of these
And translations to graph the function .
A)
B)
C)
D)
E) none of these
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10
Use the graph of the function And translation to graph the function
.
A)
B)
C)
D)
E) none of these
And translation to graph the function .
A)
B)
C)
D)
E) none of these
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11
Identify the vertex of the function
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
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12
Change the function So that its graph is shifted horizontally right 4 units and vertically down 6 units.
A)
B)
C)
D)
E) none of these
So that its graph is shifted horizontally right 4 units and vertically down 6 units.A)
B)
C)
D)
E) none of these
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13
Change the function So that its graph is shifted horizontally left 3 units and vertically up 7 units.
A)
B)
C)
D)
E) none of these
So that its graph is shifted horizontally left 3 units and vertically up 7 units.A)
B)
C)
D)
E) none of these
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k this deck
14
Change the function So that its graph is shifted vertically down 15 units.
A)
B)
C)
D)
E) none of these
So that its graph is shifted vertically down 15 units.A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
15
Use the graph of And translation to graph the function
.
A)
B)
C)
D)
E) none of these
And translation to graph the function .
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
16
Use a table of ordered pairs to graph the function
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
17
Use a table of values to graph the function
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
18
Use a table of values to graph the function
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
19
Use the given graph to identify the vertex.
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
20
Use interval notation to represent the range of the function whose graph is shown.
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
21
An absolute value function has vertex and opens up. Use interval notation to represent the range.
A)
B)
C)
D)
E) none of these
and opens up. Use interval notation to represent the range.A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
22
An absolute value function has vertex and opens down. Use interval notation to represent the range.
A)
B)
C)
D)
E) none of these
and opens down. Use interval notation to represent the range.A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
23
Use the graph.
-Estimate any real zeros.
A)
B)
C)
D)
E) none of these
-Estimate any real zeros.
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
24
Use the graph.
-Identify the maximum or minimum output value.
A) minimum: -5
B) minimum: -3
C) maximum: -5
D) maximum: -3
E) none of these
-Identify the maximum or minimum output value.
A) minimum: -5
B) minimum: -3
C) maximum: -5
D) maximum: -3
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
25
Use the absolute value function
-Identify the vertex.
A)
B)
C)
D)
E) none of these
-Identify the vertex.
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
26
Use the absolute value function
-Identify the maximum or minimum output value.
A) minimum: -10
B) maximum: -10
C) maximum: 5
D) minimum: 5
E) none of these
-Identify the maximum or minimum output value.
A) minimum: -10
B) maximum: -10
C) maximum: 5
D) minimum: 5
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
27
Use algebra to find any real zeros of the absolute value function
A)
B)
C)
D)
E) no real zeros
A)
B)
C)
D)
E) no real zeros
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
28
Use algebra to find any real zeros of the absolute value function
A)
B)
C)
D)
E) no real zeros
A)
B)
C)
D)
E) no real zeros
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
29
Use algebra to find any real zeros of the absolute value function
A)
B)
C)
D)
E) no real zeros
A)
B)
C)
D)
E) no real zeros
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
30
Use interval notation to represent the range of the absolute value function
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
31
A 1200 foot long fence is being painted. After 2 hours, 96 feet has to be painted. Find the average rate of change in the number of unpainted fence per hour.
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
32
At 5:00 AM the temperature outside was 40 degrees and rose continuously till 3 PM when the temperature was 60 degrees. What was the average rate of change of the temperature in degrees per hour during this time period?
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
33
A cell phone plan charges a $29.99 flat fee per month plus $0.10 for each text message sent. Write a linear function that models the cost, , of the plan each month for Number of texts.
A)
B)
C)
D)
E) none of these
, of the plan each month for Number of texts.A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
34
The cost to rent a 10 by 10 storage space is $75 per month plus a nonrefundable deposit of $145. Write a linear function that gives the cost, , of the storage container after Months.
A)
B)
C)
D)
E) none of these
, of the storage container after Months.A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
35
A new company purchases $42,000 of computer equipment. The equipment decreases in value $600 per year.
-Find a linear equation that models the value,, of the equipment Years after purchase.
A)
B)
C)
D)
E) none of these
-Find a linear equation that models the value,
, of the equipment Years after purchase.A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
36
A new company purchases $42,000 of computer equipment. The equipment decreases in value $600 per year.
-Evaluate the function to find the value of the equipment in 3 years.
A)
B)
C)
D)
E) none of these
-Evaluate the function to find the value of the equipment in 3 years.
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
37
A 16-inch candle burns at a rate of 0.20 inches per hour.
-Write a linear function that models the length of the candle,, after Hours of burning.
A)
B)
C)
D)
E) none of these
-Write a linear function that models the length of the candle,
, after Hours of burning.A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
38
A 16-inch candle burns at a rate of 0.20 inches per hour.
-Evaluate the function to find the length of the candle after it has been burning for 10 hours.
A) 13.5 inches
B) 14 inches
C) 13.25 inches
D) 8 inches
E) none of these
-Evaluate the function to find the length of the candle after it has been burning for 10 hours.
A) 13.5 inches
B) 14 inches
C) 13.25 inches
D) 8 inches
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
39
A 16-inch candle burns at a rate of 0.20 inches per hour.
-Find the zero of this function.
A) 64 hours
B) 65 hours
C) 70 hours
D) 80 hours
E) none of these
-Find the zero of this function.
A) 64 hours
B) 65 hours
C) 70 hours
D) 80 hours
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
40
A truck has a 62-gallon gas tank. It gets an average of 10 miles per gallon when driven on the freeway.
-Write a linear function that models the amount of gas left in the tank,, after driving Miles on the freeway.
A)
B)
C)
D)
E) none of these
-Write a linear function that models the amount of gas left in the tank,
, after driving Miles on the freeway.A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
41
A truck has a 62-gallon gas tank. It gets an average of 10 miles per gallon when driven on the freeway.
-Find the zero of this function.
A) 620 miles
B) 450 miles
C) 500 miles
D) 650 miles
E) none of these
-Find the zero of this function.
A) 620 miles
B) 450 miles
C) 500 miles
D) 650 miles
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
42
The monthly sales of hybrid cars in the United States for the first 8 months of a recent year are shown in the graph. The line is the best fit model for this data. Use the given two data points to write a linear function for this data.
A)
B)
C)
D)
E) none of these
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
43
Major League Baseball has a labor agreement that states that if any team's payroll exceeds $128 million in a certain year would have to pay a luxury tax of 22.5% (for the first offense). The linear function Represents the tax teams must pay for Million dollars in payroll. Evaluate the function to find the tax a team would have to pay if their payroll were $165 million dollars.
A) $8.325 million
B) $36 million
C) $14.4 million
D) $3.6 million
E) none of these
Represents the tax teams must pay for Million dollars in payroll. Evaluate the function to find the tax a team would have to pay if their payroll were $165 million dollars.A) $8.325 million
B) $36 million
C) $14.4 million
D) $3.6 million
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
44
A rancher has a 5000-gallon water tank that he uses to water his cattle. He uses 250 gallons per day for the cows.
-Write a linear function that is a model for the number of gallons of water,, in the tank Days after filling it.
A)
B)
C)
D)
E) none of these
-Write a linear function that is a model for the number of gallons of water,
, in the tank Days after filling it.A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
45
A rancher has a 5000-gallon water tank that he uses to water his cattle. He uses 250 gallons per day for the cows.
-Find the zero of this function. Round to the nearest whole day.
A) 20 days
B) 22 days
C) 21 days
D) 23 days
E) none of these
-Find the zero of this function. Round to the nearest whole day.
A) 20 days
B) 22 days
C) 21 days
D) 23 days
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
46
Use the quadratic function n to answer the questions.
-Use a table of ordered pairs to graph the function
A)
B)
C)
D)
E) none of these
to answer the questions.-Use a table of ordered pairs to graph the function
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
47
Use the quadratic function n to answer the questions.
-Identify the vertex.
A)
B)
C)
D)
E) none of these
to answer the questions.-Identify the vertex.
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
48
Use the quadratic function n to answer the questions.
-Identify the maximum or minimum output value.
A) maximum: -7
B) minimum: -7
C) maximum: 7
D) minimum: 7
E) none of these
to answer the questions.-Identify the maximum or minimum output value.
A) maximum: -7
B) minimum: -7
C) maximum: 7
D) minimum: 7
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
49
Use the quadratic function n to answer the questions.
-Write the equation of the axis of symmetry.
A)
B)
C)
D)
E) none of these
to answer the questions.-Write the equation of the axis of symmetry.
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
50
Use the function to answer the questions.
-Use a table of ordered pairs to graph the function
A)
B)
C)
D)
E) none of these
to answer the questions.-Use a table of ordered pairs to graph the function
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
51
Use the function to answer the questions.
-Use interval notation to represent the domain.
A)
B)
C)
D)
E) none of these
to answer the questions.-Use interval notation to represent the domain.
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
52
Use the function to answer the questions.
-Use interval notation to represent the range.
A)
B)
C)
D)
E) none of these
to answer the questions.-Use interval notation to represent the range.
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
53
Evaluate the function for the input value
.
A) 232
B) -284
C) 228
D) -280
E) none of these
for the input value .
A) 232
B) -284
C) 228
D) -280
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
54
Evaluate the function for the input value
.
A)
B)
C)
D)
E) none of these
for the input value .
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
55
Use algebra to find all real zeros of the function
A)
B)
C)
D)
E) no real zeros
A)
B)
C)
D)
E) no real zeros
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
56
Use algebra to find all real zeros of the function
A)
B)
C)
D)
E) no real zeros
A)
B)
C)
D)
E) no real zeros
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
57
Use algebra to find all real zeros of the function
A)
B)
C)
D)
E) no real zeros
A)
B)
C)
D)
E) no real zeros
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
58
Use the given graph of a quadratic function.
-Estimate the vertex.
A)
B)
C)
D)
E) none of these
-Estimate the vertex.
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
59
Use the given graph of a quadratic function.
-Use interval notation to represent the range.
A)
B)
C)
D)
E) none of these
-Use interval notation to represent the range.
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
60
Use the given graph of a quadratic function.
-Identify any real zeros.
A)
B)
C)
D)
E) no real zeros
-Identify any real zeros.
A)
B)
C)
D)
E) no real zeros
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
61
The vertex of a quadratic function is , and the graph opens up. Use interval notation to represent the domain and range.
A)
B)
C)
D)
E) none of these
, and the graph opens up. Use interval notation to represent the domain and range.A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
62
The vertex of a quadratic function is And the graph opens down. Use interval notation to represent the domain and the range.
A)
B)
C)
D)
E) none of these
And the graph opens down. Use interval notation to represent the domain and the range.A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
63
Evaluate the function for the input value
.
A)
B)
C)
D)
E) none of these
for the input value .
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
64
For the function ; find
.
A) 10
B) -50
C) 5
D) -5
E) none of these
; find .
A) 10
B) -50
C) 5
D) -5
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
65
A function is . When the input value of the function is
, what is the output value?
A)
B)
C)
D)
E) none of these
. When the input value of the function is , what is the output value?
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
66
Use the graph of the function to find .
A) -3
B) 1
C) 2
D) 0
E) none of these
.A) -3
B) 1
C) 2
D) 0
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
67
Use the graph of the function to find when
.
A) 2
B) 3
C) 6
D) 0
E) none of these
to find when .
A) 2
B) 3
C) 6
D) 0
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
68
Use the graph of the function To find .
A) 0
B) 6
C) -6
D) 7
E) none of these
To find .A) 0
B) 6
C) -6
D) 7
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
69
Find the slope of the line that passes through the points and .
A)
B)
C)
D) 3
E) none of these
and .A)
B)
C)
D) 3
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
70
Write the equation of the line that passes through the points and . Write your answer in slope-intercept form.
A)
B)
C)
D)
E) none of these
and . Write your answer in slope-intercept form.A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
71
Identify the -intercept of the line that passes through the points and
A)
B)
C)
D)
E) none of these
-intercept of the line that passes through the points and A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
72
Using notation, write the function that the graph represents.
A)
B)
C)
D)
E) none of these
notation, write the function that the graph represents. A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
73
Use this information. A new company purchases $66,500 worth of computer equipment. The function represents the relationship of the number of months after purchasing the computer equipment, , and the value of the computer equipment, .
-Evaluate
A) $63,500
B) $38,000
C) $37,500
D) $37,000
E) none of these
represents the relationship of the number of months after purchasing the computer equipment, , and the value of the computer equipment, .-Evaluate
A) $63,500
B) $38,000
C) $37,500
D) $37,000
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
74
Use this information. A new company purchases $66,500 worth of computer equipment. The function represents the relationship of the number of months after purchasing the computer equipment, , and the value of the computer equipment, .
-Find any real zeros.
A) 70 months
B) 90 months
C) 80 months
D) $
E) There are no real zeros.
represents the relationship of the number of months after purchasing the computer equipment, , and the value of the computer equipment, .-Find any real zeros.
A) 70 months
B) 90 months
C) 80 months
D) $
E) There are no real zeros.
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
75
The function Describes the balance in an investment fund, , after Months of withdrawing $330. Find any real zeros.
A) 23 months
B) 22 months
C) 21 months
D) 20 months
E) none of these
Describes the balance in an investment fund, , after Months of withdrawing $330. Find any real zeros.A) 23 months
B) 22 months
C) 21 months
D) 20 months
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
76
For the function use interval notation to represent the domain and the range.
A)
B)
C)
D)
E) none of these
use interval notation to represent the domain and the range.A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
77
For the function use interval notation to represent the domain and range.
A)
B)
C)
D)
E) none of these
use interval notation to represent the domain and range.A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
78
Use the bar graph.
The bar graph shows the number of tornado reports each decade since the 1950s
-Use roster notation to represent the correspondence between the decade (the input) and the number of tornado reportings (the output).
A)
B)
C)
D)
E) none of these
The bar graph shows the number of tornado reports each decade since the 1950s
-Use roster notation to represent the correspondence between the decade (the input) and the number of tornado reportings (the output).
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
79
Use the bar graph.
The bar graph shows the number of tornado reports each decade since the 1950s
-Use roster notation to represent the domain of the relation.
A)
B)
C)
D)
E) none of these
The bar graph shows the number of tornado reports each decade since the 1950s
-Use roster notation to represent the domain of the relation.
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
80
Use the bar graph.
The bar graph shows the number of tornado reports each decade since the 1950s
-Use roster notation to represent the range of the relation.
A)
B)
C)
D)
E) none of these
The bar graph shows the number of tornado reports each decade since the 1950s
-Use roster notation to represent the range of the relation.
A)
B)
C)
D)
E) none of these
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 92 flashcards in this deck.
