Question 1

Find the range of  .
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the range of  .
A) 
B)...

Question 2

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is  . The price per parcel, in dollars, the company charges to send x parcels is  . Determine the price per parcel that yields the maximum profit.
A)$6.00
B)$12.44
C)$18.25
D)$10.50
E)$15.00

Accepted Answer

The answer of An air freight company has determined that...

Question 3

Determine whether the graph of  is symmetric with respect to the x -axis and/or the y -axis.
A)symmetric with respect to the y -axis
B)symmetric with respect to the x -axis
C)symmetric with respect to both
D)symmetric with respect to neither

Accepted Answer

The answer of Determine whether the graph of  is...

Question 4

Use the vertex formula to determine the vertex of the graph of  and write the function in standard form.
A)Vertex:  ; 
B)Vertex:  ; 
C)Vertex:  ; 
D)Vertex:  ; 
E)Vertex:  ;

Accepted Answer

The answer of Use the vertex formula to determine the...

Question 5

The sum of the length l and the width w of a rectangular region is 260 meters. Write w as a function of l .
A) 
B) 
C) 
D) 
E)

Accepted Answer

The problem states that the sum of the length $l$ and the width $w$ of a rectangular region is 260 meters. We can set up an equation using this information:

$l + w = 260$

We want to solve for $w$ in terms of $l$. We can isolate $w$ by subtracting $l$ from both sides of the equation:

$l + w - l = 260 - l$

$w = 260 - l$

Therefore, $w$ is a function of $l$ and can be written as $w = 260 - l$. Choice B is the correct answer.

Question 6

The height in feet of a projectile with an initial velocity of 192 feet per second and an initial height of 60 feet is a function of time t , in seconds, given by  . Find the time t when the projectile reaches its maximum height.
A)8 s
B)5 s
C)4 s
D)6 s
E)7 s

Accepted Answer

The answer of The height in feet of a projectile...

Question 7

The sum of the length l and the width w of a rectangular region is 200 meters. Write the area A as a function of l .
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of The sum of the length l and...

Question 8

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is  . The price per parcel, in dollars, the company charges to send x parcels is  . Determine the revenue function.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of An air freight company has determined that...

Question 9

The height in feet of a projectile with an initial velocity of 128 feet per second and an initial height of 60 feet is a function of time t , in seconds, given by  . Find the maximum height of the projectile.
A)165 ft
B)414 ft
C)316 ft
D)508 ft
E)413 ft

Accepted Answer

The answer of The height in feet of a projectile...

Question 10

The height in feet of a projectile with an initial velocity of 65 feet per second and an initial height of 48 feet is a function of time t , in seconds, given by  . Find the time t when the projectile has a height of 0 feet. Round to nearest tenth of a second.
A)5.5 s
B)5.1 s
C)3.8 s
D)4.7 s
E)6.4 s

Accepted Answer

The answer of The height in feet of a projectile...

Question 11

Determine whether the graph of  is symmetric with respect to the origin.

Accepted Answer

The answer of Determine whether the graph of  is...

Question 12

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is  . The price per parcel, in dollars, the company charges to send x parcels is  . Determine the minimum number of parcels the air freight company must ship to break even.
A)408 parcels
B)460 parcels
C)138 parcels
D)782 parcels
E)494 parcels

Accepted Answer

The answer of An air freight company has determined that...

Question 13

Use the method of completing the square to find the standard form of the quadratic function below. State the vertex and axis of symmetry of the graph of the function. 
A)  , vertex  , axis of symmetry 
B)  , vertex  , axis of symmetry 
C)  , vertex  , axis of symmetry 
D)  , vertex  , axis of symmetry 
E)  , vertex  , axis of symmetry

Accepted Answer

The answer of Use the method of completing the square...

Question 14

Find the maximum or the minimum value of  . State whether this value is a maximum or a minimum.
A)-40; minimum
B)80; maximum
C)-20; maximum
D)-20; minimum
E)8; maximum

Accepted Answer

The answer of Find the maximum or the minimum value...

Question 15

A rock attached to a string is whirled horizontally about the origin in a counterclockwise circular path with radius 5 feet. When the string breaks, the rock travels on a linear path perpendicular to the radius OP and hits the wall which is  feet away. If the string breaks when the rock is at  , find the x -coordinate of the point at which the rock hits the wall. 
A)-6
B)-4
C)-7
D)-5
E)-8

Accepted Answer

The answer of A rock attached to a string is...

Question 16

The sum of the length l and the width w of a rectangular region is 250 meters. Find the dimensions that produce the greatest area.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of The sum of the length l and...

Question 17

A rental car company purchases an automobile for $21,800. The automobile requires an average cost of $7.05 per day in maintenance. The automobile rents for $45.00 a day. The profit after t days,  , is given by the function  . After finding the linear function  , determine, to the nearest day, how many days it will take the company to break-even assuming the automobile is in use every day.
A)approximately 529 days
B)approximately 625 days
C)approximately 574 days
D)approximately 419 days
E)approximately 497 days

Accepted Answer

The profit function is given by P(t) = -7.05t + 45t - 21,800.

We want to find the number of days it will take for the company to break even, which means the profit is equal to 0:
0 = -7.05t + 45t - 21,800
38.95t = 21,800
t ≈ 559.3607

Rounding to the nearest day, it will take approximately 574 days for the company to break even. Therefore, the best choice is C.

Question 18

Find the maximum or minimum value of the function below. State whether this value is a maximum or a minimum. 
A)1, a minimum
B)-10, a maximum
C)-10, a minimum
D)10, a maximum
E)10, a minimum

Accepted Answer

The answer of Find the maximum or minimum value of...

Question 19

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is  . The price per parcel, in dollars, the company charges to send x parcels is  . Determine the company s maximum profit to the nearest dollar.
A)$9220
B)$3610
C)$4030
D)$12,610
E)$8480

Accepted Answer

The answer of An air freight company has determined that...

Question 20

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is  . The price per parcel, in dollars, the company charges to send x parcels is  . Determine the profit function.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of An air freight company has determined that...

Quiz 2: Functions and Graphs

Find the range of .

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the price per parcel that yields the maximum profit.

Determine whether the graph of is symmetric with respect to the x -axis and/or the y -axis.

Use the vertex formula to determine the vertex of the graph of and write the function in standard form.

The sum of the length l and the width w of a rectangular region is 260 meters. Write w as a function of l .

The height in feet of a projectile with an initial velocity of 192 feet per second and an initial height of 60 feet is a function of time t , in seconds, given by . Find the time t when the projectile reaches its maximum height.

The sum of the length l and the width w of a rectangular region is 200 meters. Write the area A as a function of l .

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the revenue function.

The height in feet of a projectile with an initial velocity of 128 feet per second and an initial height of 60 feet is a function of time t , in seconds, given by . Find the maximum height of the projectile.

The height in feet of a projectile with an initial velocity of 65 feet per second and an initial height of 48 feet is a function of time t , in seconds, given by . Find the time t when the projectile has a height of 0 feet. Round to nearest tenth of a second.

Determine whether the graph of is symmetric with respect to the origin.

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the minimum number of parcels the air freight company must ship to break even.

Use the method of completing the square to find the standard form of the quadratic function below. State the vertex and axis of symmetry of the graph of the function.

Find the maximum or the minimum value of . State whether this value is a maximum or a minimum.

The sum of the length l and the width w of a rectangular region is 250 meters. Find the dimensions that produce the greatest area.

Find the maximum or minimum value of the function below. State whether this value is a maximum or a minimum.

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the company s maximum profit to the nearest dollar.

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the profit function.