Question 1

Use the properties of logarithms to solve:
-

Accepted Answer

A) 7 
B)    
C)    
D)    
A) 7 
B)    
C)    
D)

Question 2

In North America, coyotes are one of the few species with an expanding range. The future population of coyotes in a region of Mississippi valley can be modeled by the equation   , where t is time in years. Use the equation to determine when the population will reach 170. (Round your answer to the nearest tenth year.)

Accepted Answer

A)  583.1 years 
B)  581.3 years 
C)  586.2 years 
D)  578.0 years 
A)  583.1 years 
B)  581.3 years 
C)  586.2 years 
D)  578.0 years

Question 3

How can the graph of f(x) = -   be obtained from the graph of

Accepted Answer

A)  Shift it horizontally 1 units to the right. Reflect it across the x-axis. 
B)  Shift it horizontally -1 units to the left. Reflect it across the x-axis. 
C)  Shift it horizontally 1 units to the left. Reflect it across the y-axis. 
D)  Shift it horizontally 1 units to the left. Reflect it across the x-axis. 
A)  Shift it horizontally 1 units to the right. Reflect it across the x-axis. 
B)  Shift it horizontally -1 units to the left. Reflect it across the x-axis. 
C)  Shift it horizontally 1 units to the left. Reflect it across the y-axis. 
D)  Shift it horizontally 1 units to the left. Reflect it across the x-axis.

Question 4

Determine whether there is a maximum or minimum value for the given function, and find that value:
-

Accepted Answer

A)  Minimum: 0 
B)  Minimum: -9 
C)  Maximum: - 9 
D)  Minimum: 9 
A)  Minimum: 0 
B)  Minimum: -9 
C)  Maximum: - 9 
D)  Minimum: 9

Question 5

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

Accepted Answer

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

Question 6

Write an equation for a function that has a graph with the given transformations:
-The shape of y =   is vertically stretched by a factor of 10, and the resulting graph is reflected across the x-axis.

Accepted Answer

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

Question 7

If f(x) =   , what is the definition of g(x), the function whose graph is obtained by shifting f(x)'s graph right 5 units and down 1 unit?

Accepted Answer

The answer of If f(x) =   , what...

Question 8

Convert to an exponential equation:
-ln 44 = 3.7842

Accepted Answer

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

Question 9

A sample of 800 grams of radioactive substance decays according to the function   where t is the time in years. How much of the substance will be left in the sample after 10 years? Round to the nearest whole gram.

Accepted Answer

A)  9 grams 
B)  605 grams 
C)  800 grams 
D)  1 gram 
A)  9 grams 
B)  605 grams 
C)  800 grams 
D)  1 gram

Question 10

Solve graphically to two decimal places using a graphing calculator:
-

Accepted Answer

A)  x  0.53 
B)  x  3.66 
C)  -3.66 < x < 0.53 
D)  -0.53 < x < 3.66 
A)  x  0.53 
B)  x  3.66 
C)  -3.66 < x < 0.53 
D)  -0.53 < x < 3.66

Question 11

The level of a sound in decibels (db) is determined by the formula   db, where I is the intensity of the sound in watts per square meter. A certain noise has an intensity of   per square meter. What is the sound level of this noise? (Round your answer to the nearest decibel.)

Accepted Answer

A)  206 db 
B)  79 db 
C)  9 db 
D)  89 db 
A)  206 db 
B)  79 db 
C)  9 db 
D)  89 db

Question 12

Use the properties of logarithms to solve:
-

Accepted Answer

A) 6 
B) -6 
C) -6, -3 
D) 3 
A) 6 
B) -6 
C) -6, -3 
D) 3

Question 13

Solve the equation:
-Solve for   Round your answer to four decimal places.

Accepted Answer

A)  -66.4815 
B)  -70.1312 
C)  44.321 
D)  42.7962 
A)  -66.4815 
B)  -70.1312 
C)  44.321 
D)  42.7962

Question 14

Accepted Answer

The answer of  ...

Question 15

The function P, given by P(d) =   d + 1, gives the pressure, in atmospheres (atm), at a depth d, in feet, under the sea. Find the pressure at 200 feet. Round your answer to the nearest whole number.

Accepted Answer

A)  200 atm 
B)  7 atm 
C)  201 atm 
D)  8 atm 
A)  200 atm 
B)  7 atm 
C)  201 atm 
D)  8 atm

Question 16

The polynomial   gives the approximate total earnings of a company, in millions of dollars, where x represents the number of years since 1996. This model is valid for the years from 1996 to 2000. Determine the earnings for 2000. Round to 2 decimal places.

Accepted Answer

A)  $2.26 million 
B)  $2.82 million 
C)  $2.03 million 
D)  $2.36 million 
A)  $2.26 million 
B)  $2.82 million 
C)  $2.03 million 
D)  $2.36 million

Question 17

Graph the function:
-

Accepted Answer

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

Question 18

Find the equation of any horizontal asymptote:
-

Accepted Answer

A)  y = 3 
B)  y = 4 
C)  None 
D)  y = -3 
A)  y = 3 
B)  y = 4 
C)  None 
D)  y = -3

Question 19

If the average cost per unit C(x) to produce x units of plywood is given by   what is the unit cost for 10 units?

Accepted Answer

A)  $24.00 
B)  $120.00 
C)  $80.00 
D)  $3.00 
A)  $24.00 
B)  $120.00 
C)  $80.00 
D)  $3.00

Question 20

Determine the domain of the function:
-

Accepted Answer

A)  All real numbers 
B)  x < 0 
C)  No solution 
D)  All real numbers except 0 
A)  All real numbers 
B)  x < 0 
C)  No solution 
D)  All real numbers except 0

Use the properties of logarithms to solve: -

How can the graph of f(x) = - be obtained from the graph of

Determine whether there is a maximum or minimum value for the given function, and find that value: -

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

Write an equation for a function that has a graph with the given transformations: -The shape of y = is vertically stretched by a factor of 10, and the resulting graph is reflected across the x-axis.

If f(x) = , what is the definition of g(x), the function whose graph is obtained by shifting f(x)'s graph right 5 units and down 1 unit?

Convert to an exponential equation: -ln 44 = 3.7842

A sample of 800 grams of radioactive substance decays according to the function where t is the time in years. How much of the substance will be left in the sample after 10 years? Round to the nearest whole gram.

Solve graphically to two decimal places using a graphing calculator: -

The level of a sound in decibels (db) is determined by the formula db, where I is the intensity of the sound in watts per square meter. A certain noise has an intensity of per square meter. What is the sound level of this noise? (Round your answer to the nearest decibel.)

Use the properties of logarithms to solve: -

Solve the equation: -Solve for Round your answer to four decimal places.

The function P, given by P(d) = d + 1, gives the pressure, in atmospheres (atm), at a depth d, in feet, under the sea. Find the pressure at 200 feet. Round your answer to the nearest whole number.

The polynomial gives the approximate total earnings of a company, in millions of dollars, where x represents the number of years since 1996. This model is valid for the years from 1996 to 2000. Determine the earnings for 2000. Round to 2 decimal places.

Graph the function: -

Find the equation of any horizontal asymptote: -

If the average cost per unit C(x) to produce x units of plywood is given by what is the unit cost for 10 units?

Determine the domain of the function: -

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 the properties of logarithms to solve: -

How can the graph of f(x) = - be obtained from the graph of

Determine whether there is a maximum or minimum value for the given function, and find that value: -

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

Write an equation for a function that has a graph with the given transformations: -The shape of y = is vertically stretched by a factor of 10, and the resulting graph is reflected across the x-axis.

If f(x) = , what is the definition of g(x), the function whose graph is obtained by shifting f(x)'s graph right 5 units and down 1 unit?

Convert to an exponential equation: -ln 44 = 3.7842

A sample of 800 grams of radioactive substance decays according to the function where t is the time in years. How much of the substance will be left in the sample after 10 years? Round to the nearest whole gram.

Solve graphically to two decimal places using a graphing calculator: -

The level of a sound in decibels (db) is determined by the formula db, where I is the intensity of the sound in watts per square meter. A certain noise has an intensity of per square meter. What is the sound level of this noise? (Round your answer to the nearest decibel.)

Use the properties of logarithms to solve: -

Solve the equation: -Solve for Round your answer to four decimal places.

The function P, given by P(d) = d + 1, gives the pressure, in atmospheres (atm), at a depth d, in feet, under the sea. Find the pressure at 200 feet. Round your answer to the nearest whole number.

The polynomial gives the approximate total earnings of a company, in millions of dollars, where x represents the number of years since 1996. This model is valid for the years from 1996 to 2000. Determine the earnings for 2000. Round to 2 decimal places.

Graph the function: -

Find the equation of any horizontal asymptote: -

If the average cost per unit C(x) to produce x units of plywood is given by what is the unit cost for 10 units?

Determine the domain of the function: -

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