Question 1

Determine whether the given functions are inverses of each other.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 2

Solve the problem.
-Luis invests $1000 into an account earning interest at a rate of 4% compounded annually. Find the amount in the account at the end of 2 years.

Accepted Answer

A)  $1081.60 
B)  $1040.00 
C)  $1124.86 
D)  $81.60 
A)  $1081.60 
B)  $1040.00 
C)  $1124.86 
D)  $81.60

Question 3

Evaluate.
-

Accepted Answer

A)  8 
B)  -8 
C)  2 
D)  -2 
A)  8 
B)  -8 
C)  2 
D)  -2

Question 4

Use properties of logarithms to expand the logarithmic expression as much as possible.
-

Accepted Answer

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

Question 5

Write the equation in exponential form.
-

Accepted Answer

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

Question 6

Solve the equation.
-ln (45 + 6x) = 2 ln (x + 3)

Accepted Answer

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

Question 7

Use the change of base formula to find the value of the following logarithm. Do not round logarithms in the change of
base formula. Write the answer rounded to the nearest ten-thousandth.
-

Accepted Answer

A)  0.9853 
B)  3.0650 
C)  1.9395 
D)  0.3263 
A)  0.9853 
B)  3.0650 
C)  1.9395 
D)  0.3263

Question 8

Provide an appropriate response.
-The natural function is   where e is the natural base.

Accepted Answer

A)  exponential 
B)  logarithmic 
C)  common 
D)  inverse 
A)  exponential 
B)  logarithmic 
C)  common 
D)  inverse

Question 9

Solve the equation.
-ln (60) - ln x = ln (x - 4)

Accepted Answer

A)  -6 
B)  32 
C)  10, -6 
D)  10 
A)  -6 
B)  32 
C)  10, -6 
D)  10

Question 10

Evaluate.
-

Accepted Answer

A)  15 
B)    
C)  1 
D)  0 
A)  15 
B)    
C)  1 
D)  0

Question 11

Solve the problem.
-The value V of a car that is t years old can be modeled by   . According to the model, what is the value, to the nearest dollar, of a 3 year old car?

Accepted Answer

A)  $13,511 
B)  $11,214 
C)  $48,836 
D)  $4904 
A)  $13,511 
B)  $11,214 
C)  $48,836 
D)  $4904

Question 12

Approximate the following value. Round to four decimal places.
-

Accepted Answer

A)  45.1504 
B)  0.0245 
C)  0.0221 
D)  -10.3567 
A)  45.1504 
B)  0.0245 
C)  0.0221 
D)  -10.3567

Question 13

Solve the problem.
-Find out how long it takes a $3000 investment to double if it is invested at 8% compounded monthly. Round to the nearest tenth of a year. Use the formula

Accepted Answer

A)  8.7 yr 
B)  9.1 yr 
C)  8.9 yr 
D)  8.5 yr 
A)  8.7 yr 
B)  9.1 yr 
C)  8.9 yr 
D)  8.5 yr

Question 14

Approximate the following value. Round to four decimal places.
-

Accepted Answer

A)  12.2323 
B)  99.4843 
C)  1.5041 
D)  90.0171 
A)  12.2323 
B)  99.4843 
C)  1.5041 
D)  90.0171

Question 15

Solve the problem.
-The expected future population of a small town, which currently has 7900 residents, can be approximated by the formula   where t is the number of years in the future. Find the expected population of the town 50 years in the future.

Accepted Answer

A)  0 
B)  3792 
C)  7900 
D)  7 
A)  0 
B)  3792 
C)  7900 
D)  7

Question 16

Evaluate.
-

Accepted Answer

A)  4.8 
B)  0.48 
C)  48 
D)  1.4100 
A)  4.8 
B)  0.48 
C)  48 
D)  1.4100

Question 17

For the given functions f and g , find the indicated composition.
-

Accepted Answer

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

Question 18

Determine whether the function is a one-to-one function.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 19

For the given functions f and g , find the indicated value.
-

Accepted Answer

A)  53 
B)  203 
C)  26 
D)  46 
A)  53 
B)  203 
C)  26 
D)  46

Question 20

Determine whether the function is a one-to-one function.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Determine whether the given functions are inverses of each other. -

Solve the problem. -Luis invests $1000 into an account earning interest at a rate of 4% compounded annually. Find the amount in the account at the end of 2 years.

Evaluate. -

Use properties of logarithms to expand the logarithmic expression as much as possible. -

Write the equation in exponential form. -

Solve the equation. -ln (45 + 6x) = 2 ln (x + 3)

Use the change of base formula to find the value of the following logarithm. Do not round logarithms in the change of base formula. Write the answer rounded to the nearest ten-thousandth. -

Provide an appropriate response. -The natural function is where e is the natural base.

Solve the equation. -ln (60) - ln x = ln (x - 4)

Evaluate. -

Solve the problem. -The value V of a car that is t years old can be modeled by . According to the model, what is the value, to the nearest dollar, of a 3 year old car?

Approximate the following value. Round to four decimal places. -

Solve the problem. -Find out how long it takes a $3000 investment to double if it is invested at 8% compounded monthly. Round to the nearest tenth of a year. Use the formula

Approximate the following value. Round to four decimal places. -

Solve the problem. -The expected future population of a small town, which currently has 7900 residents, can be approximated by the formula where t is the number of years in the future. Find the expected population of the town 50 years in the future.

Evaluate. -

For the given functions f and g , find the indicated composition. -

Determine whether the function is a one-to-one function. -

For the given functions f and g , find the indicated value. -

Determine whether the function is a one-to-one function. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Quadratic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters

Exam 13: Exponential and Logarithmic Functions

Determine whether the given functions are inverses of each other. -

Solve the problem. -Luis invests $1000 into an account earning interest at a rate of 4% compounded annually. Find the amount in the account at the end of 2 years.

Evaluate. -

Use properties of logarithms to expand the logarithmic expression as much as possible. -

Write the equation in exponential form. -

Solve the equation. -ln (45 + 6x) = 2 ln (x + 3)

Use the change of base formula to find the value of the following logarithm. Do not round logarithms in the change of base formula. Write the answer rounded to the nearest ten-thousandth. -

Provide an appropriate response. -The natural function is where e is the natural base.

Solve the equation. -ln (60) - ln x = ln (x - 4)

Evaluate. -

Solve the problem. -The value V of a car that is t years old can be modeled by . According to the model, what is the value, to the nearest dollar, of a 3 year old car?

Approximate the following value. Round to four decimal places. -

Solve the problem. -Find out how long it takes a $3000 investment to double if it is invested at 8% compounded monthly. Round to the nearest tenth of a year. Use the formula

Approximate the following value. Round to four decimal places. -

Solve the problem. -The expected future population of a small town, which currently has 7900 residents, can be approximated by the formula where t is the number of years in the future. Find the expected population of the town 50 years in the future.

Evaluate. -

For the given functions f and g , find the indicated composition. -

Determine whether the function is a one-to-one function. -

For the given functions f and g , find the indicated value. -

Determine whether the function is a one-to-one function. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Quadratic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters