Question 1

Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals:
-f(x) = 2 - ln(x + 4)

Accepted Answer

A)  Decreasing: (4, $\infty$)   
B)  Decreasing: (-4, $\infty$)   
C)  Decreasing: (0, $\infty$)   
D)  Decreasing: (-4, $\infty$)   
A)  Decreasing: (4, $\infty$)   
B)  Decreasing: (-4, $\infty$)   
C)  Decreasing: (0, $\infty$)   
D)  Decreasing: (-4, $\infty$)

Question 2

A carbon-14 dating test is performed on a fossil bone, and analysis finds that 15.5% of the original amount of carbon-14 is still present in the bone. Estimate the age of the fossil bone. (Recall that carbon-14 decays according to the equation

Accepted Answer

A)  15, 000 years 
B)  1,500 years 
C)  150 years 
D)  15,035 years 
A)  15, 000 years 
B)  1,500 years 
C)  150 years 
D)  15,035 years

Question 3

The financial department of a company that manufactures portable MP3 players arrived at the following daily cost equation for manufacturing x MP3 players per day:   The average cost per unit at a production level of players per day is   (A) Find the rational function   .(B) Graph the average cost function on a graphing utility for 10 ≤ x ≤ 200.(C) Use the appropriate command on a graphing utility to find the daily production level (to the nearest integer) at which the average cost per player is a minimum. What is the minimum average cost (to the nearest cent)?

Accepted Answer

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

Question 4

Convert to a logarithmic equation.
-

Accepted Answer

A)  ln t = 7 
B)    
C)  ln 7 = t 
D)    
A)  ln t = 7 
B)    
C)  ln 7 = t 
D)

Question 5

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: - 5, -1; 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: - 5, -1; 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: - 5, -1; 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: - 5, -1; 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 6

Use the REGRESSION feature on a graphing calculator:
-The average retail price in the Spring of 2000 for a used Camaro Z28 coupe depends on the age of the car as shown in the following table.
 
Find the quadratic model that best estimates this data. Round your answer to whole numbers.

Accepted Answer

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

Question 7

An initial investment of $12,000 is invested for 2 years in an account that earns 4% interest, compounded quarterly. Find the amount of money in the account at the end of the period.

Accepted Answer

A)  $994.28 
B)  $12,865.62 
C)  $12,994.28 
D)  $12,979.20 
A)  $994.28 
B)  $12,865.62 
C)  $12,994.28 
D)  $12,979.20

Question 8

Find the x-intercept(s) if they exist:
-

Accepted Answer

A)    
B)  10, -5 
C)  -1, -5 
D)  1 , 5 
A)    
B)  10, -5 
C)  -1, -5 
D)  1 , 5

Question 9

Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by   What is the cost per ton for

Accepted Answer

A)  $16.67 
B)  $425.00 
C)  $7083.33 
D)  $467.03 
A)  $16.67 
B)  $425.00 
C)  $7083.33 
D)  $467.03

Question 10

Use the properties of logarithms to solve:
-log (x + 10) - log (x + 4) = log x

Accepted Answer

A)  2 
B)  -5 
C)  2, - 5 
D)  6 
A)  2 
B)  -5 
C)  2, - 5 
D)  6

Question 11

For the polynomial function find the following: (i) Degree of the polynomial; (ii) All x intercepts; (iii) The y intercept.
-y = 8x + 5

Accepted Answer

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

Question 12

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

Question 13

Find the equations of any vertical asymptotes:
-

Accepted Answer

A)  x = 10, x = -10 
B)  x = -3 
C)  y = 3, y = -7 
D)  x = 3, x = -7 
A)  x = 10, x = -10 
B)  x = -3 
C)  y = 3, y = -7 
D)  x = 3, x = -7

Question 14

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) 2
(ii) Negative 
B)  (i) 1
(ii) Positive 
C)  (i) 1
(ii) Negative 
D)  (i) 2
(ii) Positive 
A)  (i) 2
(ii) Negative 
B)  (i) 1
(ii) Positive 
C)  (i) 1
(ii) Negative 
D)  (i) 2
(ii) Positive

Question 15

Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals:
-

Accepted Answer

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

Question 16

Solve the equation graphically to four decimal places:
-

Accepted Answer

A)  No solution 
B)  -0.4341 
C)  -0.4341, 3.2912 
D)  3.2912 
A)  No solution 
B)  -0.4341 
C)  -0.4341, 3.2912 
D)  3.2912

Question 17

Use the REGRESSION feature on a graphing calculator:
-Since 1984 funeral directors have been regulated by the Federal Trade Commission. The average cost of a funeral for an adult in a Midwest city has increased, as shown in the following table.   Let x represent the number of years since 1980. Use a graphing calculator to fit a quartic function to the data. Round your answer to five decimal places.

Accepted Answer

A)  y = 170.5971x + 1991.5213 
B)    
C)    
D)    
A)  y = 170.5971x + 1991.5213 
B)    
C)    
D)

Question 18

Sketch the graph of the function:
-f(x) =

Accepted Answer

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

Question 19

Find the x-intercept(s) if they exist:
-

Accepted Answer

A)  21 
B)  0 
C)  0, 7 
D)  7 
A)  21 
B)  0 
C)  0, 7 
D)  7

Question 20

Write in terms of simpler forms:
-

Accepted Answer

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

Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals: -f(x) = 2 - ln(x + 4)

A carbon-14 dating test is performed on a fossil bone, and analysis finds that 15.5% of the original amount of carbon-14 is still present in the bone. Estimate the age of the fossil bone. (Recall that carbon-14 decays according to the equation

Convert to a logarithmic equation. -

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

Use the REGRESSION feature on a graphing calculator: -The average retail price in the Spring of 2000 for a used Camaro Z28 coupe depends on the age of the car as shown in the following table. Find the quadratic model that best estimates this data. Round your answer to whole numbers.

An initial investment of $12,000 is invested for 2 years in an account that earns 4% interest, compounded quarterly. Find the amount of money in the account at the end of the period.

Find the x-intercept(s) if they exist: -

Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by What is the cost per ton for

Use the properties of logarithms to solve: -log (x + 10) - log (x + 4) = log x

For the polynomial function find the following: (i) Degree of the polynomial; (ii) All x intercepts; (iii) The y intercept. -y = 8x + 5

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? -

Find the equations of any vertical asymptotes: -

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? -

Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals: -

Solve the equation graphically to four decimal places: -

Sketch the graph of the function: -f(x) =

Find the x-intercept(s) if they exist: -

Write in terms of simpler forms: -

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

Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals: -f(x) = 2 - ln(x + 4)

A carbon-14 dating test is performed on a fossil bone, and analysis finds that 15.5% of the original amount of carbon-14 is still present in the bone. Estimate the age of the fossil bone. (Recall that carbon-14 decays according to the equation

Convert to a logarithmic equation. -

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

Use the REGRESSION feature on a graphing calculator: -The average retail price in the Spring of 2000 for a used Camaro Z28 coupe depends on the age of the car as shown in the following table. Find the quadratic model that best estimates this data. Round your answer to whole numbers.

An initial investment of $12,000 is invested for 2 years in an account that earns 4% interest, compounded quarterly. Find the amount of money in the account at the end of the period.

Find the x-intercept(s) if they exist: -

Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by What is the cost per ton for

Use the properties of logarithms to solve: -log (x + 10) - log (x + 4) = log x

For the polynomial function find the following: (i) Degree of the polynomial; (ii) All x intercepts; (iii) The y intercept. -y = 8x + 5

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? -

Find the equations of any vertical asymptotes: -

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? -

Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals: -

Solve the equation graphically to four decimal places: -

Sketch the graph of the function: -f(x) =

Find the x-intercept(s) if they exist: -

Write in terms of simpler forms: -

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