Question 1

Solve.
-

Accepted Answer

A)  6 
B)  8 
C)  5 
D)  9 
A)  6 
B)  8 
C)  5 
D)  9

Question 2

Solve the problem.
-An organization determines that the cost per person of chartering a bus is given by the formula   where x is the number of people in the group and C(x) is in dollars. Find a formula for the inverse of the function described.

Accepted Answer

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

Question 3

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Explain why 1 is excluded from being a logarithmic base.

Accepted Answer

It exclude

Question 4

Find the inverse of the relation.
-{(-5, -4), (5, 4), (-3, 6), (3, -6)}

Accepted Answer

A)  {(-4, -5), (4, 5), (6, 5), (-6, 3)} 
B)  {(-4, -5), (4, 5), (6, -3), (-6, 3)} 
C)  {(-4, -5), (-5, 5), (6, -3), (-6, 3)} 
A)  {(-4, -5), (4, 5), (6, 5), (-6, 3)} 
B)  {(-4, -5), (4, 5), (6, -3), (-6, 3)} 
C)  {(-4, -5), (-5, 5), (6, -3), (-6, 3)}

Question 5

Determine whether the function is one-to-one.
-f(x) =

Accepted Answer

A) True 
 B)False

Question 6

Solve the problem.
-A size 6 dress in Country C is size 26 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = x + 20. Find a formula for the inverse of the function described. Use the inverse function to
Find dress sizes in the Country C that correspond to the size of 28 in France.

Accepted Answer

A)    
B)  4 
C)    
D)  8 
A)    
B)  4 
C)    
D)  8

Question 7

Find the logarithm.
-

Accepted Answer

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

Question 8

Express as a single logarithm.
-

Accepted Answer

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

Question 9

Simplify.
-

Accepted Answer

A)    
B)  6 ln e 
C)  6 
D)  1 
A)    
B)  6 ln e 
C)  6 
D)  1

Question 10

Convert to a logarithmic equation.
-

Accepted Answer

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

Question 11

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

Accepted Answer

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

Question 12

Solve.
-In the formula A = Iekt, A is the amount of radioactive material remaining from an initial amount I at a given time t and k is a negative constant determined by the nature of the material. An artifact is discovered at a certain
Site. If it has 55% of the carbon-14 it originally contained, what is the approximate age of the artifact?
(carbon-14 decays at the rate of 0.0125% annually.) (Round to the nearest year.)

Accepted Answer

A)  4783 yr 
B)  2077 yr 
C)  4400 yr 
D)  3600 yr 
A)  4783 yr 
B)  2077 yr 
C)  4400 yr 
D)  3600 yr

Question 13

Find the inverse of the relation.
-{(-16, 3), (5, -16), (-14, -12)}

Accepted Answer

A)  {(-16, -16), (-16, 5), (-12, -14)} 
B)  {(3, -16), (-16, 5), (-12, -14)} 
C)  {(3, -16), (-14, 5), (-12, -16)} 
A)  {(-16, -16), (-16, 5), (-12, -14)} 
B)  {(3, -16), (-16, 5), (-12, -14)} 
C)  {(3, -16), (-14, 5), (-12, -16)}

Question 14

Solve the equation.
-log (x + 3) = 1 - log x

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

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

Accepted Answer

A)  0.7255 
B)  2.6392 
C)  1.5354 
D)  1.3784 
A)  0.7255 
B)  2.6392 
C)  1.5354 
D)  1.3784

Question 17

Solve the equation.
-  = 18 (Round to the nearest hundredth.)

Accepted Answer

A)  0.20 
B)  2.80 
C)  -0.20 
D)  0.74 
A)  0.20 
B)  2.80 
C)  -0.20 
D)  0.74

Question 18

Determine whether the given function is one-to-one. If so, find a formula for the inverse.
-f(x) =

Accepted Answer

A)    
B)    
C)  Not a one-to-one function 
D)    
A)    
B)    
C)  Not a one-to-one function 
D)

Question 19

Use composition to verify whether or not the inverse is correct.
-

Accepted Answer

A) True 
 B)False

Question 20

Solve.
-Given   = 0.3010 and   = 0.4771, evaluate

Accepted Answer

A)  0.9030 
B)  0.1436 
C)  0.9542 
D)  0.7781 
A)  0.9030 
B)  0.1436 
C)  0.9542 
D)  0.7781

Solve. -

Solve the problem. -An organization determines that the cost per person of chartering a bus is given by the formula where x is the number of people in the group and C(x) is in dollars. Find a formula for the inverse of the function described.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain why 1 is excluded from being a logarithmic base.

Find the inverse of the relation. -{(-5, -4), (5, 4), (-3, 6), (3, -6)}

Determine whether the function is one-to-one. -f(x) =

Find the logarithm. -

Express as a single logarithm. -

Simplify. -

Convert to a logarithmic equation. -

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

Find the inverse of the relation. -{(-16, 3), (5, -16), (-14, -12)}

Solve the equation. -log (x + 3) = 1 - log x

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

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

Solve the equation. - = 18 (Round to the nearest hundredth.)

Determine whether the given function is one-to-one. If so, find a formula for the inverse. -f(x) =

Use composition to verify whether or not the inverse is correct. -

Solve. -Given = 0.3010 and = 0.4771, evaluate

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

Exam 13: Exponential Functions and Logarithmic Functions

Solve. -

Solve the problem. -An organization determines that the cost per person of chartering a bus is given by the formula where x is the number of people in the group and C(x) is in dollars. Find a formula for the inverse of the function described.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain why 1 is excluded from being a logarithmic base.

Find the inverse of the relation. -{(-5, -4), (5, 4), (-3, 6), (3, -6)}

Determine whether the function is one-to-one. -f(x) =

Find the logarithm. -

Express as a single logarithm. -

Simplify. -

Convert to a logarithmic equation. -

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

Find the inverse of the relation. -{(-16, 3), (5, -16), (-14, -12)}

Solve the equation. -log (x + 3) = 1 - log x

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

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

Solve the equation. - = 18 (Round to the nearest hundredth.)

Determine whether the given function is one-to-one. If so, find a formula for the inverse. -f(x) =

Use composition to verify whether or not the inverse is correct. -

Solve. -Given = 0.3010 and = 0.4771, evaluate

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