Question 1

For the polynomial function find the following: (i) Degree of the polynomial; (ii) All x intercepts; (iii) The y intercept.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 2

Determine if the equation specifies a function with independent variable x. If so, find the domain. If not, find a value of x to which there corresponds more than one value of y:
-  
A) A function with domain all real numbers except x = 5
B) Not a function; for example, when x = 5, y = ±4

Accepted Answer

The answer of Determine if the equation specifies a function...

Question 3

The following graph represents the result of applying a sequence of transformations to the graph of a basic function. Identify the basic function and describe the transformation(s). Write the equation for the given graph.

Accepted Answer

The answer of The following graph represents the result of...

Question 4

Use the properties of logarithms to solve:
-ln (3x - 4) = ln 20 - ln (x - 5)

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 5

Accepted Answer

The answer of  ...

Question 6

Find the vertex form for the quadratic function. Then find each of the following:
(A) Intercepts
(B) Vertex
(C) Maximum or minimum
(D) Range
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

For the polynomial function find the following: (i) Degree of the polynomial; (ii) All x intercepts; (iii) The y intercept.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 8

Determine whether the graph is the graph of a function.
-

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 9

Write in terms of simpler forms:
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

The financial department of a company that produces digital cameras arrived at the following price-demand function and the corresponding revenue function:p(x) = 95.4 - 6x price-demandR(x) = x ∙ p(x) = x(95.4 - 6x) revenue functionThe function p(x) is the wholesale price per camera at which x million cameras can be sold and R(x) is the corresponding revenue (in million dollars). Both functions have domain 1 ≤ x ≤ 15. They also found the cost function to be C(x) = 150 + 15.1x (in million dollars) for manufacturing and selling x cameras. Find the profit function and determine the approximate number of cameras, rounded to the nearest hundredths, that should be sold for maximum profit.

Accepted Answer

The answer of The financial department of a company that...

Question 11

Under certain conditions, the power P, in watts per hour, generated by a windmill with winds blowing v miles per hour is given by   . Find the power generated by 18-mph winds.

Accepted Answer

A)  4.86 watts per hour 
B)  0.00006075 watts per hour 
C)  58.32 watts per hour 
D)  87.48 watts per hour 
A)  4.86 watts per hour 
B)  0.00006075 watts per hour 
C)  58.32 watts per hour 
D)  87.48 watts per hour

Question 12

Determine whether the relation represents a function. If it is a function, state the domain and range.
-

Accepted Answer

A)  function
Domain: { carrots, peas, squash}
Range: { Bob, Ann, Dave} 
B)  function
Domain: { Bob, Ann, Dave}
Range: { carrots, peas, squash} 
C)  not a function 
A)  function
Domain: { carrots, peas, squash}
Range: { Bob, Ann, Dave} 
B)  function
Domain: { Bob, Ann, Dave}
Range: { carrots, peas, squash} 
C)  not a function

Question 13

Find the equations of any vertical asymptotes:
-

Accepted Answer

A)  x = 9, x = -3 
B)  x = 9 
C)  x = -9, x = 3 
D)  None 
A)  x = 9, x = -3 
B)  x = 9 
C)  x = -9, x = 3 
D)  None

Question 14

Use a calculator to evaluate the expression. Round the result to five decimal places:
-

Accepted Answer

A)  3.60550 
B)  1.56585 
C)  1.73388 
D)  0.57674 
A)  3.60550 
B)  1.56585 
C)  1.73388 
D)  0.57674

Question 15

Determine the domain of the function:
-

Accepted Answer

A)  No solution 
B)  All real numbers except 2 
C)  All real numbers 
D)  x < 2 
A)  No solution 
B)  All real numbers except 2 
C)  All real numbers 
D)  x < 2

Question 16

Convert to a logarithmic equation.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 17

Find the equation of any horizontal asymptote:
-

Accepted Answer

A)  y = -5 
B)  y = 5 
C)  y = 1 
D)  None 
A)  y = -5 
B)  y = 5 
C)  y = 1 
D)  None

Question 18

Write an equation for a function that has a graph with the given transformations:
-The shape of y =   is shifted 5 units to the left. Then the graph is shifted 7 units upward.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

Solve the equation:
-Solve for

Accepted Answer

A)  5 
B)  15 
C)  -5 
D)  -15 
A)  5 
B)  15 
C)  -5 
D)  -15

Question 20

The following graph represents the result of applying a sequence of transformations to the graph of a basic function. Identify the basic function and describe the transformation(s). Write the equation for the given graph.

Accepted Answer

The answer of The following graph represents the result of...

For the polynomial function find the following: (i) Degree of the polynomial; (ii) All x intercepts; (iii) The y intercept. -

Determine if the equation specifies a function with independent variable x. If so, find the domain. If not, find a value of x to which there corresponds more than one value of y: - A) A function with domain all real numbers except x = 5 B) Not a function; for example, when x = 5, y = ±4

The following graph represents the result of applying a sequence of transformations to the graph of a basic function. Identify the basic function and describe the transformation(s). Write the equation for the given graph.

Use the properties of logarithms to solve: -ln (3x - 4) = ln 20 - ln (x - 5)

Find the vertex form for the quadratic function. Then find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

For the polynomial function find the following: (i) Degree of the polynomial; (ii) All x intercepts; (iii) The y intercept. -

Determine whether the graph is the graph of a function. -

Write in terms of simpler forms: -

Under certain conditions, the power P, in watts per hour, generated by a windmill with winds blowing v miles per hour is given by . Find the power generated by 18-mph winds.

Determine whether the relation represents a function. If it is a function, state the domain and range. -

Find the equations of any vertical asymptotes: -

Use a calculator to evaluate the expression. Round the result to five decimal places: -

Determine the domain of the function: -

Convert to a logarithmic equation. -

Find the equation of any horizontal asymptote: -

Write an equation for a function that has a graph with the given transformations: -The shape of y = is shifted 5 units to the left. Then the graph is shifted 7 units upward.

Solve the equation: -Solve for

The following graph represents the result of applying a sequence of transformations to the graph of a basic function. Identify the basic function and describe the transformation(s). Write the equation for the given graph.

Linear Equations and Graphs

Mathematics of Finance

Systems of Linear Equations; Matrices

Linear Inequalities and Linear Programming

Linear Programming: The Simplex Method

Logic, Sets, and Counting

Probability

Markov Chains

Data Description and Probability Distributions

Games and Decisions

Appendix A: Basic Algebra Review

Appendix B: Special Topics

Filters

Exam 2: Functions and Graphs

For the polynomial function find the following: (i) Degree of the polynomial; (ii) All x intercepts; (iii) The y intercept. -

Determine if the equation specifies a function with independent variable x. If so, find the domain. If not, find a value of x to which there corresponds more than one value of y: - A) A function with domain all real numbers except x = 5 B) Not a function; for example, when x = 5, y = ±4

The following graph represents the result of applying a sequence of transformations to the graph of a basic function. Identify the basic function and describe the transformation(s). Write the equation for the given graph.

Use the properties of logarithms to solve: -ln (3x - 4) = ln 20 - ln (x - 5)

Find the vertex form for the quadratic function. Then find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

For the polynomial function find the following: (i) Degree of the polynomial; (ii) All x intercepts; (iii) The y intercept. -

Determine whether the graph is the graph of a function. -

Write in terms of simpler forms: -

Under certain conditions, the power P, in watts per hour, generated by a windmill with winds blowing v miles per hour is given by . Find the power generated by 18-mph winds.

Determine whether the relation represents a function. If it is a function, state the domain and range. -

Find the equations of any vertical asymptotes: -

Use a calculator to evaluate the expression. Round the result to five decimal places: -

Determine the domain of the function: -

Convert to a logarithmic equation. -

Find the equation of any horizontal asymptote: -

Write an equation for a function that has a graph with the given transformations: -The shape of y = is shifted 5 units to the left. Then the graph is shifted 7 units upward.

Solve the equation: -Solve for

The following graph represents the result of applying a sequence of transformations to the graph of a basic function. Identify the basic function and describe the transformation(s). Write the equation for the given graph.

Linear Equations and Graphs

Mathematics of Finance

Systems of Linear Equations; Matrices

Linear Inequalities and Linear Programming

Linear Programming: The Simplex Method

Logic, Sets, and Counting

Probability

Markov Chains

Data Description and Probability Distributions

Games and Decisions

Appendix A: Basic Algebra Review

Appendix B: Special Topics

Filters