Question 1

Use a calculator to evaluate the expression. Round the result to five decimal places:
-log 0.17

Accepted Answer

A)  -1.76955 
B)  -1.77196 
C)  -0.76955 
D)  -4.07454 
A)  -1.76955 
B)  -1.77196 
C)  -0.76955 
D)  -4.07454

Question 2

The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive?
-

Accepted Answer

A)  (i) 4
(ii) Positive 
B)  (i) 4
(ii) Negative 
C)  (i) 3
(ii) Negative 
D)  (i) 3
(ii) Positive 
A)  (i) 4
(ii) Positive 
B)  (i) 4
(ii) Negative 
C)  (i) 3
(ii) Negative 
D)  (i) 3
(ii) Positive

Question 3

If $1250 is invested at a rate of 8   % compounded monthly, what is the balance after 10 years?

Accepted Answer

A)  $2844.31 
B)  $2281.25 
C)  $1031.25 
D)  $1594.31 
A)  $2844.31 
B)  $2281.25 
C)  $1031.25 
D)  $1594.31

Question 4

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 5

Only one of the following functions has domain which is not equal to all real numbers. State which function and state its domain.

Accepted Answer

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

Question 6

Write an equation for the graph in the form y = a + k, where a is either 1 or -1 and h and k are integers:
-

Accepted Answer

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

Question 7

Use the REGRESSION feature on a graphing calculator:
-A strain of E-coli Beu-recA441 is placed into a petri dish at   Celsius and allowed to grow. The following data are collected. Theory states that the number of bacteria in the petri dish will initially grow according to the law of uninhibited growth. The population is measured using an optical device in which the amount of light that passes through the petri dish is measured.   Find the exponential equation in the form y = a .   , where x is the hours of growth. Round to four decimal places.

Accepted Answer

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

Question 8

Determine whether the relation represents a function. If it is a function, state the domain and range.
-{( 41, -2), ( 5, -1), ( 5, 0), ( 6, 1), ( 14, 3)}

Accepted Answer

A)  function
Domain: { 41, 6, 5, 14}
Range: { -2, -1, 0, 1, 3} 
B)  function
Domain: { -2, -1, 0, 1, 3}
Range: { 41, 6, 5, 14} 
C)  not a function 
A)  function
Domain: { 41, 6, 5, 14}
Range: { -2, -1, 0, 1, 3} 
B)  function
Domain: { -2, -1, 0, 1, 3}
Range: { 41, 6, 5, 14} 
C)  not a function

Question 9

For the given function, find each of the following:
(A) Intercepts
(B) Vertex
(C) Maximum or minimum
(D) Range
-

Accepted Answer

A)  (
A)  x-intercepts: 1, 5; y-intercept: -5
(
B)  Vertex ( 3, 4)
(
C)  Minimum: 4
(
D)  y $\ge$ 4 
B)  (
A)  x-intercepts: -5, - 1; y-intercept: -5
(
B)  Vertex ( 3, 4)
(
C)  Maximum: 4
(
D)  y$\le$ 4 
C)  (
A)  x-intercepts: 1, 5; y-intercept: -5
(
B)  Vertex ( -3, -4)
(
C)  Maximum: 4
(
D)  y $\le$ 4 
D)  (
A)  x-intercepts: 1, 5; y-intercept: -5
(
B)  Vertex ( 3, 4)
(
C)  Maximum: 4
(
D)  y $\le$ 4 
A)  (
A)  x-intercepts: 1, 5; y-intercept: -5
(
B)  Vertex ( 3, 4)
(
C)  Minimum: 4
(
D)  y $\ge$ 4 
B)  (
A)  x-intercepts: -5, - 1; y-intercept: -5
(
B)  Vertex ( 3, 4)
(
C)  Maximum: 4
(
D)  y$\le$ 4 
C)  (
A)  x-intercepts: 1, 5; y-intercept: -5
(
B)  Vertex ( -3, -4)
(
C)  Maximum: 4
(
D)  y $\le$ 4 
D)  (
A)  x-intercepts: 1, 5; y-intercept: -5
(
B)  Vertex ( 3, 4)
(
C)  Maximum: 4
(
D)  y $\le$ 4

Question 10

For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x).
-

Accepted Answer

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

Question 11

Use point-by-point plotting to sketch the graph of the equation.
-

Accepted Answer

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

Question 12

For the given function, find each of the following:
(A) Intercepts
(B) Vertex
(C) Maximum or minimum
(D) Range
-

Accepted Answer

A)  (
A)  x-intercepts: - 7, -1; y-intercept: 7
(
B)  Vertex ( -4, -9)
(
C)  Minimum: -9
(
D)  y$\ge$ -9 
B)  (
A)  x-intercepts: 1, 7; y-intercept: 7
(
B)  Vertex ( -4, -9)
(
C)  Minimum: -9
(
D)  y $\ge$ -9 
C)  (
A)  x-intercepts: - 7, -1; y-intercept: 7
(
B)  Vertex ( -4, -9)
(
C)  Maximum: -9
(
D)  y $\le$ -9 
D)  (
A)  x-intercepts: - 7, -1; y-intercept: 7
(
B)  Vertex ( 4, -9)
(
C)  Minimum: -9
(
D)  y $\ge$ -9 
A)  (
A)  x-intercepts: - 7, -1; y-intercept: 7
(
B)  Vertex ( -4, -9)
(
C)  Minimum: -9
(
D)  y$\ge$ -9 
B)  (
A)  x-intercepts: 1, 7; y-intercept: 7
(
B)  Vertex ( -4, -9)
(
C)  Minimum: -9
(
D)  y $\ge$ -9 
C)  (
A)  x-intercepts: - 7, -1; y-intercept: 7
(
B)  Vertex ( -4, -9)
(
C)  Maximum: -9
(
D)  y $\le$ -9 
D)  (
A)  x-intercepts: - 7, -1; y-intercept: 7
(
B)  Vertex ( 4, -9)
(
C)  Minimum: -9
(
D)  y $\ge$ -9

Question 13

In economics, functions that involve revenue, cost and profit are used. Suppose R(x) and C(x) denote the total revenue and the total cost, respectively, of producing a new high-tech widget. The difference   represents the total profit for producing x widgets. Given R(x) = 60x - 0.4   and   find P(100).

Accepted Answer

A)  55687 
B)  313 
C)  2000 
D)  1687 
A)  55687 
B)  313 
C)  2000 
D)  1687

Question 14

The graph of a function f is given. Use the graph to answer the question.
-Use the graph of f given below to find f( 10).

Accepted Answer

A)  10 
B)  -20 
C)  0 
D)  15 
A)  10 
B)  -20 
C)  0 
D)  15

Question 15

Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in the figure:
-

Accepted Answer

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

Question 16

Write in terms of simpler forms:
-

Accepted Answer

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

Question 17

Suppose that $2200 is invested at 3% interest, compounded semiannually. Find the function for the amount of money after t years.

Accepted Answer

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

Question 18

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 ℛ
B) Not a function; for example, when x = 10, y = ±1

Accepted Answer

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

Question 19

Determine whether the function is linear, constant, or neither:
-

Accepted Answer

A)  Linear 
B)  Constant 
C)  Neither 
A)  Linear 
B)  Constant 
C)  Neither

Question 20

Solve the equation:
-Solve for

Accepted Answer

A)  { 2} 
B)  { 3, 2} 
C)  { -3, -2} 
D)  { 3} 
A)  { 2} 
B)  { 3, 2} 
C)  { -3, -2} 
D)  { 3}

Use a calculator to evaluate the expression. Round the result to five decimal places: -log 0.17

The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive? -

If $1250 is invested at a rate of 8 % compounded monthly, what is the balance after 10 years?

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

Only one of the following functions has domain which is not equal to all real numbers. State which function and state its domain.

Write an equation for the graph in the form y = a + k, where a is either 1 or -1 and h and k are integers: -

Determine whether the relation represents a function. If it is a function, state the domain and range. -{( 41, -2), ( 5, -1), ( 5, 0), ( 6, 1), ( 14, 3)}

For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x). -

Use point-by-point plotting to sketch the graph of the equation. -

For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

In economics, functions that involve revenue, cost and profit are used. Suppose R(x) and C(x) denote the total revenue and the total cost, respectively, of producing a new high-tech widget. The difference represents the total profit for producing x widgets. Given R(x) = 60x - 0.4 and find P(100).

The graph of a function f is given. Use the graph to answer the question. -Use the graph of f given below to find f( 10).

Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in the figure: -

Write in terms of simpler forms: -

Suppose that $2200 is invested at 3% interest, compounded semiannually. Find the function for the amount of money after t years.

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 ℛ B) Not a function; for example, when x = 10, y = ±1

Determine whether the function is linear, constant, or neither: -

Solve the equation: -Solve for

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

Use a calculator to evaluate the expression. Round the result to five decimal places: -log 0.17

The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive? -

If $1250 is invested at a rate of 8 % compounded monthly, what is the balance after 10 years?

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

Only one of the following functions has domain which is not equal to all real numbers. State which function and state its domain.

Write an equation for the graph in the form y = a + k, where a is either 1 or -1 and h and k are integers: -

Determine whether the relation represents a function. If it is a function, state the domain and range. -{( 41, -2), ( 5, -1), ( 5, 0), ( 6, 1), ( 14, 3)}

For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x). -

Use point-by-point plotting to sketch the graph of the equation. -

For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

In economics, functions that involve revenue, cost and profit are used. Suppose R(x) and C(x) denote the total revenue and the total cost, respectively, of producing a new high-tech widget. The difference represents the total profit for producing x widgets. Given R(x) = 60x - 0.4 and find P(100).

The graph of a function f is given. Use the graph to answer the question. -Use the graph of f given below to find f( 10).

Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in the figure: -

Write in terms of simpler forms: -

Suppose that $2200 is invested at 3% interest, compounded semiannually. Find the function for the amount of money after t years.

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 ℛ B) Not a function; for example, when x = 10, y = ±1

Determine whether the function is linear, constant, or neither: -

Solve the equation: -Solve for

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