Question 1

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

Accepted Answer

A) True 
 B)False

Question 2

Solve the problem.
-Suppose that $40,000 is invested at 6% interest, compounded annually. Find a function A for the amount in the account after t years.

Accepted Answer

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

Question 3

Solve.
-The population of a particular city is increasing at a rate proportional to its size. It follows the function   t where k is a constant and t is the time in years. If the current population is 42,000, in how many years is the population expected to be 105,000? (Round to the nearest year.)

Accepted Answer

A)  93 yr 
B)  13 yr 
C)  6 yr 
D)  7 yr 
A)  93 yr 
B)  13 yr 
C)  6 yr 
D)  7 yr

Question 4

Solve the problem.
-A size 32 dress in Country C is size -4 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) =   - 20. Find a formula for the inverse of the function described.

Accepted Answer

A)    = x + 20 
B)    = 2x + 20 
C)    = 2(x - 20) 
D)    = 2(x + 20) 
A)    = x + 20 
B)    = 2x + 20 
C)    = 2(x - 20) 
D)    = 2(x + 20)

Question 5

Solve.
-An economist predicts that the buying power B(x) of a dollar x years from now will be given by the formula   How much will today's dollar be worth in 2 years? Round the answer to the nearest cent.

Accepted Answer

A)  $1.36 
B)  $0.46 
C)  $0.93 
D)  $1.60 
A)  $1.36 
B)  $0.46 
C)  $0.93 
D)  $1.60

Question 6

Find the requested composition of functions.
-Given f(x) =   nd g(x) = x - 3, find

Accepted Answer

A)    
B)    - 3 
C)    
D)    
A)    
B)    - 3 
C)    
D)

Question 7

Solve.
-The number of books in a small library increases according to the function B = 7100e0.03t, where t is measured in years. How many books will the library have after 9 years?

Accepted Answer

A)  4037 
B)  9296 
C)  13,221 
D)  9301 
A)  4037 
B)  9296 
C)  13,221 
D)  9301

Question 8

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

Accepted Answer

A) True 
 B)False

Question 9

Express as a sum of logarithms.
-

Accepted Answer

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

Question 10

Find the requested composition of functions.
-Given f(x) =   and g(x) = 7x + 10, find

Accepted Answer

A)    
B)  x + 20 
C)  7x + 60 
D)  x 
A)    
B)  x + 20 
C)  7x + 60 
D)  x

Question 11

Graph the function.
-

Accepted Answer

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

Question 12

Express in terms of logarithms of a single variable or a number.
-

Accepted Answer

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

Question 13

Solve.
-How long will it take for $8600 to grow to $35,700 at an interest rate of 7.1% if the interest is compounded continuously? Round the number of years to the nearest hundredth.

Accepted Answer

A)  20.05 yr 
B)  2.00 yr 
C)  2 yr 
D)  2004.77 yr 
A)  20.05 yr 
B)  2.00 yr 
C)  2 yr 
D)  2004.77 yr

Question 14

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

Accepted Answer

A) True 
 B)False

Question 15

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 16

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 17

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

Accepted Answer

A)  1.1269 
B)  0.7901 
C)  0.8062 
D)  0.8874 
A)  1.1269 
B)  0.7901 
C)  0.8062 
D)  0.8874

Question 18

Using a calculator, find to the nearest ten-thousandth.
-ln 0.000951

Accepted Answer

A)  6.9580 
B)  -6.9580 
C)  3.0218 
D)  -3.0218 
A)  6.9580 
B)  -6.9580 
C)  3.0218 
D)  -3.0218

Question 19

Find the common logarithm to four decimal places.
-log 77

Accepted Answer

A)  1.3865 
B)  1.8865 
C)  4.8438 
D)  4.3438 
A)  1.3865 
B)  1.8865 
C)  4.8438 
D)  4.3438

Question 20

Graph.
-f(x) =

Accepted Answer

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

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

Solve the problem. -Suppose that $40,000 is invested at 6% interest, compounded annually. Find a function A for the amount in the account after t years.

Solve. -The population of a particular city is increasing at a rate proportional to its size. It follows the function t where k is a constant and t is the time in years. If the current population is 42,000, in how many years is the population expected to be 105,000? (Round to the nearest year.)

Solve the problem. -A size 32 dress in Country C is size -4 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = - 20. Find a formula for the inverse of the function described.

Solve. -An economist predicts that the buying power B(x) of a dollar x years from now will be given by the formula How much will today's dollar be worth in 2 years? Round the answer to the nearest cent.

Find the requested composition of functions. -Given f(x) = nd g(x) = x - 3, find

Solve. -The number of books in a small library increases according to the function B = 7100e0.03t, where t is measured in years. How many books will the library have after 9 years?

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

Express as a sum of logarithms. -

Find the requested composition of functions. -Given f(x) = and g(x) = 7x + 10, find

Graph the function. -

Express in terms of logarithms of a single variable or a number. -

Solve. -How long will it take for $8600 to grow to $35,700 at an interest rate of 7.1% if the interest is compounded continuously? Round the number of years to the nearest hundredth.

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

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

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

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. -ln 0.000951

Find the common logarithm to four decimal places. -log 77

Graph. -f(x) =

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

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

Solve the problem. -Suppose that $40,000 is invested at 6% interest, compounded annually. Find a function A for the amount in the account after t years.

Solve. -The population of a particular city is increasing at a rate proportional to its size. It follows the function t where k is a constant and t is the time in years. If the current population is 42,000, in how many years is the population expected to be 105,000? (Round to the nearest year.)

Solve the problem. -A size 32 dress in Country C is size -4 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = - 20. Find a formula for the inverse of the function described.

Solve. -An economist predicts that the buying power B(x) of a dollar x years from now will be given by the formula How much will today's dollar be worth in 2 years? Round the answer to the nearest cent.

Find the requested composition of functions. -Given f(x) = nd g(x) = x - 3, find

Solve. -The number of books in a small library increases according to the function B = 7100e0.03t, where t is measured in years. How many books will the library have after 9 years?

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

Express as a sum of logarithms. -

Find the requested composition of functions. -Given f(x) = and g(x) = 7x + 10, find

Graph the function. -

Express in terms of logarithms of a single variable or a number. -

Solve. -How long will it take for $8600 to grow to $35,700 at an interest rate of 7.1% if the interest is compounded continuously? Round the number of years to the nearest hundredth.

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

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

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

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. -ln 0.000951

Find the common logarithm to four decimal places. -log 77

Graph. -f(x) =

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