Question 1

The inventor of a new game believes that the variable cost of producing the game is $3.65 per unit and the fixed costs are $5000.The inventor sells each game for $11.09.Let  be the number of games sold.Write the average cost per unit  as a function of  where  is defined as the total cost of producing  games.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 2

Plot the points and find the slope of the line passing through the pair of points. (2, -4), (4, -1)

Accepted Answer

A)  slope:  
B)  slope:  
C)  slope:  
D)  slope:  
E)  slope:

Question 3

Assume that y is directly proportional to x.If  and  , determine a linear model that relates y and x.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 4

Describe the sequence of transformations from  to  Then sketch the graph of  by hand.Verify with a graphing utility.

Accepted Answer

A)  Vertical shifts down 3 units  
B)  Vertical shifts 2 units upward  
C)  Horizontal shift 1 unit to the right  
D)  Horizontal shifts 4 units to the left  
E)  Vertical shifts 3 units upward

Question 5

After completing the table, use the resulting solution points to sketch the graph of the equation

Accepted Answer

The answer of After completing the table, use the resulting...

Question 6

Match the equation below with its graph.  Graph I :  Graph IV :  Graph II :  Graph V :  Graph III :

Accepted Answer

A)  Graph IV 
B)  Graph III 
C)  Graph V 
D)  Graph II 
E)  Graph I

Question 7

Describe the sequence of transformations from  to  Then sketch the graph of  by hand.Verify with a graphing utility.

Accepted Answer

A)  Shifted 5 units downward  
B)  Shifted 1 unit upward  
C)  Shifted 4 units to the left  
D)  Shifts 3 units to the right  
E)  4 units to the left and 2 units upward

Question 8

Write the equation that expresses the relationship between the variables described below, then use the given data to solve for the variation of constant. "t varies directly as  , and  when  "

Accepted Answer

A)   ;  
B)   ;  
C)   ;  
D)   ;  
E)   ;

Question 9

Describe the sequence of transformation from  to  if

Accepted Answer

A)  Shifted five units to the left and six units downwards. 
B)  Shifted six units to the left and five units downwards. 
C)  Shifted five units to the right and six units upwards. 
D)  Shifted six units to the right and five units downwards. 
E)  Shifted five units to the left and six units upwards.

Question 10

Decide whether the function is even, odd, or neither.

Accepted Answer

A)  Odd 
B)  Even 
C)  Neither even nor odd

Question 11

Find the slope and y-intercept of the equation of the line.

Accepted Answer

A)  slope:  ; y-intercept: 4 
B)  slope:  ; y-intercept: -6 
C)  slope: -6; y-intercept: 4 
D)  slope: 4; y-intercept: -6 
E)  slope: -6; y-intercept: -4

Question 12

Which set of ordered pairs represents a function from P to Q? P = {5, 10, 15, 20} Q = {-1, 1, 3}

Accepted Answer

A)  {(5, -1), (10, 1), (10, 3), (15, 1), (20, -1)} 
B)  {(15, -1), (15, 1), (15, 3)} 
C)  {(15, 1), (10, -1), (5, 1), (10, 3), (15, -1)} 
D)  {(10, 1), (15, 3), (20, 1)} 
E)  {(5, 3), (15, 1), (5, -1), (15, 3)}

Question 13

Which graph represents the function?

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 14

Suppose the average remaining lifetime for women in a given country is given in the following table.  Find the linear regression equation for these data, whose parameters are rounded to the nearest hundredth, where x is the age, in years, and A is the remaining lifetime, in years.Use the regression equation to estimate the remaining lifetime for a 30-year old woman.

Accepted Answer

A)  59.79 years 
B)  43.45 years 
C)  49.47 years 
D)  52.05 years 
E)  57.21 years

Question 15

Find the slope and y-intercept of the equation of the line. -y - 8x = -2

Accepted Answer

A)  slope: 8; y-intercept: -2 
B)  slope: -2; y-intercept: 8 
C)  slope: 8; y-intercept: -1 
D)  slope: 2; y-intercept: -8 
E)  slope: -8; y-intercept: 2

Question 16

Use the graph of  to sketch the graph of

Accepted Answer

A)  Horizontal shift 2 units to the right  
B)  Reflection in the x-axis  
C)  Vertical shift 2 units upward  
D)  Horizontal shift 3 units to the left  
E)  Stretching by 2

Question 17

Determine whether lines L1 and L2 passing through the pairs of points are parallel, perpendicular, or neither. L1 : (-1, 8), (9, -4)
L2 : (0, 9), (1, -1)

Accepted Answer

A)  parallel 
B)  perpendicular 
C)  neither

Question 18

Use the graph of the function to find the domain and range of f.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

Find the x- and y-intercepts of the graph of the equation below.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 20

The point  on the graph of  has been shifted to the point  after a rigid transformation.Identify the shift and write the new function  in terms of

Accepted Answer

A)  Shift: shifted 1 unit to the left.  
B)  Shift: horizontally 3 units to the left and vertically 2 units downward.  
C)  Shift: horizontally 2 units to the right and vertically 1 unit upward.  
D)  Shift: horizontally 1 unit to the right and vertically 2 units downward.  
E)  Shift: shifted 1 unit upward.

Exam 2: Functions and Graphs

Plot the points and find the slope of the line passing through the pair of points. (2, -4) , (4, -1)

Assume that y is directly proportional to x.If and , determine a linear model that relates y and x.

Describe the sequence of transformations from to Then sketch the graph of by hand.Verify with a graphing utility.

After completing the table, use the resulting solution points to sketch the graph of the equation

Match the equation below with its graph. Graph I : Graph IV : Graph II : Graph V : Graph III :

Describe the sequence of transformations from to Then sketch the graph of by hand.Verify with a graphing utility.

Write the equation that expresses the relationship between the variables described below, then use the given data to solve for the variation of constant. "t varies directly as , and when "

Describe the sequence of transformation from to if

Decide whether the function is even, odd, or neither.

Find the slope and y-intercept of the equation of the line.

Which set of ordered pairs represents a function from P to Q? P = {5, 10, 15, 20} Q = {-1, 1, 3}

Which graph represents the function?

Find the slope and y-intercept of the equation of the line. -y - 8x = -2

Use the graph of to sketch the graph of

Determine whether lines L₁ and L₂ passing through the pairs of points are parallel, perpendicular, or neither. L₁: (-1, 8) , (9, -4) L₂: (0, 9) , (1, -1)

Use the graph of the function to find the domain and range of f.

Find the x- and y-intercepts of the graph of the equation below.

The point on the graph of has been shifted to the point after a rigid transformation.Identify the shift and write the new function in terms of

Exam 2: Functions and Graphs

Plot the points and find the slope of the line passing through the pair of points. (2, -4) , (4, -1)

Assume that y is directly proportional to x.If and , determine a linear model that relates y and x.

Describe the sequence of transformations from to Then sketch the graph of by hand.Verify with a graphing utility.

After completing the table, use the resulting solution points to sketch the graph of the equation

Match the equation below with its graph. Graph I : Graph IV : Graph II : Graph V : Graph III :

Describe the sequence of transformations from to Then sketch the graph of by hand.Verify with a graphing utility.

Write the equation that expresses the relationship between the variables described below, then use the given data to solve for the variation of constant. "t varies directly as , and when "

Describe the sequence of transformation from to if

Decide whether the function is even, odd, or neither.

Find the slope and y-intercept of the equation of the line.

Which set of ordered pairs represents a function from P to Q? P = {5, 10, 15, 20} Q = {-1, 1, 3}

Which graph represents the function?

Find the slope and y-intercept of the equation of the line. -y - 8x = -2

Use the graph of to sketch the graph of

Determine whether lines L1 and L2 passing through the pairs of points are parallel, perpendicular, or neither. L1 : (-1, 8) , (9, -4) L2 : (0, 9) , (1, -1)

Use the graph of the function to find the domain and range of f.

Find the x- and y-intercepts of the graph of the equation below.

The point on the graph of has been shifted to the point after a rigid transformation.Identify the shift and write the new function in terms of

Determine whether lines L₁ and L₂ passing through the pairs of points are parallel, perpendicular, or neither. L₁: (-1, 8) , (9, -4) L₂: (0, 9) , (1, -1)