Question 1

Find f(x) and g(x) such that h(x) =  
-h(x) =

Accepted Answer

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

Question 2

Find an equation of the inverse of the relation.
-y = 4 + 6x

Accepted Answer

A)  y = 6 - 4x 
B)  y = 6 + 4x 
C)  x = 6 + 4y 
D)  x = 4 + 6y 
A)  y = 6 - 4x 
B)  y = 6 + 4x 
C)  x = 6 + 4y 
D)  x = 4 + 6y

Question 3

Using a calculator, find to the nearest ten-thousandth.
-

Accepted Answer

A)  3 
B)  8.155 
C)  -1 
D)  1.099 
A)  3 
B)  8.155 
C)  -1 
D)  1.099

Question 4

Solve the problem.
-32° Fahrenheit = 0° Celsius. A function that converts temperatures in Fahrenheit to those in Celsius is f(x) =   Fahrenheit. Find a formula for the inverse of the function described.

Accepted Answer

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

Question 5

Express as a single logarithm.
-

Accepted Answer

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

Question 6

Express as a sum of logarithms.
-

Accepted Answer

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

Question 7

Graph the equation of the relation using a solid line, and then graph the inverse of the relation using a dashed line.
-y =

Accepted Answer

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

Question 8

Use a calculator and the change-of-base formula to find the logarithm to four decimal places.
-

Accepted Answer

A)  0.3206 
B)  18.8825 
C)  1.8781 
D)  3.1195 
A)  0.3206 
B)  18.8825 
C)  1.8781 
D)  3.1195

Question 9

Using a calculator, find to the nearest ten-thousandth.
-

Accepted Answer

A)  0.0743 
B)  0.0821 
C)  13.4637 
D)  -7.0675 
A)  0.0743 
B)  0.0821 
C)  13.4637 
D)  -7.0675

Question 10

Graph.
-f(x) =

Accepted Answer

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

Question 11

Solve the problem.
-The half-life of a certain radioactive substance is 8 years. Suppose that at time t = 0, there are 29 g of the substance. Then after t years, the number of grams of the substance remaining will be:
N(t) =   How many grams of the substance will remain after 56 years? Round to the nearest hundredth when necessary.

Accepted Answer

A)  0.64 g 
B)  1.28 g 
C)  0.32 g 
D)  2.56 g 
A)  0.64 g 
B)  1.28 g 
C)  0.32 g 
D)  2.56 g

Question 12

Solve the problem.
-An accountant tabulated a firm's profits for four recent years in the following table:   The accountant then fit both a linear graph and an exponential curve (seen below) to the data, in order to estimate future profits. Use the linear graph to estimate the profits in the year 2001.

Accepted Answer

A)  About $500,000 
B)  About $700,000 
C)  About $800,000 
D)  About $900,000 
A)  About $500,000 
B)  About $700,000 
C)  About $800,000 
D)  About $900,000

Question 13

Find the logarithm.
-

Accepted Answer

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

Question 14

Graph the function as a solid curve and its inverse as a dashed curve.
-f(x) = 2x

Accepted Answer

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

Question 15

Express as a single logarithm.
-

Accepted Answer

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

Question 16

Express as a single logarithm.
-

Accepted Answer

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

Question 17

Solve.
-

Accepted Answer

A)  27 
B)  3 
C)  2 
D)  12 
A)  27 
B)  3 
C)  2 
D)  12

Question 18

Solve the problem.
-An accountant tabulated a firm's profits for four recent years in the following table:   The accountant then fit both a linear graph and an exponential curve (seen below) to the data, in order to estimate future profits. Use the exponential graph to estimate the profits in the year 2001.

Accepted Answer

A)  About $750,000 
B)  About $300,000 
C)  About $1,300,000 
D)  About $1,000,000 
A)  About $750,000 
B)  About $300,000 
C)  About $1,300,000 
D)  About $1,000,000

Question 19

Graph the equation of the relation using a solid line, and then graph the inverse of the relation using a dashed line.
-y = 7x - 8

Accepted Answer

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

Question 20

Solve.
-How long will it take for the population of a certain country to double if its annual growth rate is 1.1%? Round to the nearest year. Use the exponential growth model

Accepted Answer

A)  1 yr 
B)  27 yr 
C)  63 yr 
D)  182 yr 
A)  1 yr 
B)  27 yr 
C)  63 yr 
D)  182 yr

Find f(x) and g(x) such that h(x) = -h(x) =

Find an equation of the inverse of the relation. -y = 4 + 6x

Using a calculator, find to the nearest ten-thousandth. -

Solve the problem. -32° Fahrenheit = 0° Celsius. A function that converts temperatures in Fahrenheit to those in Celsius is f(x) = Fahrenheit. Find a formula for the inverse of the function described.

Express as a single logarithm. -

Express as a sum of logarithms. -

Graph the equation of the relation using a solid line, and then graph the inverse of the relation using a dashed line. -y =

Use a calculator and the change-of-base formula to find the logarithm to four decimal places. -

Using a calculator, find to the nearest ten-thousandth. -

Graph. -f(x) =

Find the logarithm. -

Graph the function as a solid curve and its inverse as a dashed curve. -f(x) = 2x

Express as a single logarithm. -

Express as a single logarithm. -

Solve. -

Graph the equation of the relation using a solid line, and then graph the inverse of the relation using a dashed line. -y = 7x - 8

Solve. -How long will it take for the population of a certain country to double if its annual growth rate is 1.1%? Round to the nearest year. Use the exponential growth model

Introduction

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Calculating Means and Medians of Data Sets

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Exam 13: Exponential Functions and Logarithmic Functions

Find f(x) and g(x) such that h(x) = -h(x) =

Find an equation of the inverse of the relation. -y = 4 + 6x

Using a calculator, find to the nearest ten-thousandth. -

Solve the problem. -32° Fahrenheit = 0° Celsius. A function that converts temperatures in Fahrenheit to those in Celsius is f(x) = Fahrenheit. Find a formula for the inverse of the function described.

Express as a single logarithm. -

Express as a sum of logarithms. -

Graph the equation of the relation using a solid line, and then graph the inverse of the relation using a dashed line. -y =

Use a calculator and the change-of-base formula to find the logarithm to four decimal places. -

Using a calculator, find to the nearest ten-thousandth. -

Graph. -f(x) =

Find the logarithm. -

Graph the function as a solid curve and its inverse as a dashed curve. -f(x) = 2x

Express as a single logarithm. -

Express as a single logarithm. -

Solve. -

Graph the equation of the relation using a solid line, and then graph the inverse of the relation using a dashed line. -y = 7x - 8

Solve. -How long will it take for the population of a certain country to double if its annual growth rate is 1.1%? Round to the nearest year. Use the exponential growth model

Introduction

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Calculating Means and Medians of Data Sets

Filters