Question 1

Determine the domain of the function.

Accepted Answer

The answer of Determine the domain of the function. ...

Question 2

Graph the function using transformations of y = log b x and strategically plotting a few points.
f(x) = -log 3(x + 2)

Accepted Answer

@#IMG-DLM& (Gridline

Question 3

Use the properties of logarithms to write the expression as a sum or difference of simple logarithmic terms.

Accepted Answer

The answer of Use the properties of logarithms to write...

Question 4

For simple interest accounts the interest earned or due depends on the principal p, interest rate r, and the time t in years according to the formula I = prt. Find p given I = $50.14, r = 10.5%, and t = 6 months. Round your answer to the nearest dollar.

Accepted Answer

A)  $955 
B)  $960 
C)  $965 
D)  $970 
A)  $955 
B)  $960 
C)  $965 
D)  $970

Question 5

Determine the value of the expression without using a calculator. log 3 9

Accepted Answer

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

Question 6

Solve by converting to exponential form. log(3x - 5) = 2

Accepted Answer

A)  x =   
B)  x =   
C)  x = 35 
D)  x = 34 
A)  x =   
B)  x =   
C)  x = 35 
D)  x = 34

Question 7

Write the equation in exponential form.
2 = log 5 25

Accepted Answer

Question 8

Solve using the method of your choice. Answer in approximate form rounded to four decimal places. 10x = 29

Accepted Answer

A)  x $\approx$ 1.4624 
B)  x $\approx$ 2.9000 
C)  x $\approx$ 3.3673 
D)  x $\approx$ 0.3367 
A)  x $\approx$ 1.4624 
B)  x $\approx$ 2.9000 
C)  x $\approx$ 3.3673 
D)  x $\approx$ 0.3367

Question 9

Graph by the following function by translating the basic function y = bx, sketching the asymptote, and strategically plotting a few points to round out the graph. y =

Accepted Answer

A) 
 
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B) 
 
(Gridlines are spaced one unit apart.) 
C) 
 
(Gridlines are spaced one unit apart.) 
D) 
 
(Gridlines are spaced one unit apart.) 
A) 
 
(Gridlines are spaced one unit apart.) 
B) 
 
(Gridlines are spaced one unit apart.) 
C) 
 
(Gridlines are spaced one unit apart.) 
D) 
 
(Gridlines are spaced one unit apart.)

Question 10

Find the inverse function of the one-to-one function given.
{(-1, 1), (-3, 4), (4, 0), (-5, 3), (-2, 2)}

Accepted Answer

{(1, -1),

Question 11

Solve the equation in two ways: by equating bases and using the uniqueness properties and by applying a base-10 or base-e logarithm and using the power property of logarithms.
3x = 27

Accepted Answer

Question 12

Use the compound interest formula   to determine how long it would take $2150 to grow to $6050 if the annual rate is 5% and interest is compounded monthly. Round your answer to the nearest tenth.

Accepted Answer

A)  20.3 years 
B)  20.5 years 
C)  20.7 years 
D)  20.9 years 
A)  20.3 years 
B)  20.5 years 
C)  20.7 years 
D)  20.9 years

Question 13

Use a calculator to evaluate e3.4, rounded to six decimal places.

Accepted Answer

A)  26.962966 
B)  27.055977 
C)  28.840644 
D)  29.964100 
A)  26.962966 
B)  27.055977 
C)  28.840644 
D)  29.964100

Question 14

Solve using any appropriate method. Answer in exact form. ln(x + 1) + ln 8 = 6

Accepted Answer

A)  x = e6 - 9 
B)  x = ln 6 - 9 
C)  x =   
D)  x =   
A)  x = e6 - 9 
B)  x = ln 6 - 9 
C)  x =   
D)  x =

Question 15

Determine if the function is one-to-one by noting the functions family to which it belongs and mentally picturing the shape of its graph. f(x) = 4x - 10

Accepted Answer

A)  one-to-one 
B)  not one-to-one 
A)  one-to-one 
B)  not one-to-one

Question 16

Use a calculator to find an approximate value, rounded to four decimal places. log 732

Accepted Answer

A)  $\approx$ 2.7411 
B)  $\approx$ 2.8645 
C)  $\approx$ 3.2966 
D)  $\approx$ 3.8057 
A)  $\approx$ 2.7411 
B)  $\approx$ 2.8645 
C)  $\approx$ 3.2966 
D)  $\approx$ 3.8057

Determine the domain of the function.

Graph the function using transformations of y = log_bx and strategically plotting a few points. f(x) = -log₃(x + 2)

Use the properties of logarithms to write the expression as a sum or difference of simple logarithmic terms.

For simple interest accounts the interest earned or due depends on the principal p, interest rate r, and the time t in years according to the formula I = prt. Find p given I = $50.14, r = 10.5%, and t = 6 months. Round your answer to the nearest dollar.

Determine the value of the expression without using a calculator. log₃9

Solve by converting to exponential form. log(3x - 5) = 2

Write the equation in exponential form. 2 = log₅25

Solve using the method of your choice. Answer in approximate form rounded to four decimal places. 10^x = 29

Graph by the following function by translating the basic function y = b^x, sketching the asymptote, and strategically plotting a few points to round out the graph. y =

Find the inverse function of the one-to-one function given. {(-1, 1), (-3, 4), (4, 0), (-5, 3), (-2, 2)}

Solve the equation in two ways: by equating bases and using the uniqueness properties and by applying a base-10 or base-e logarithm and using the power property of logarithms. 3^x = 27

Use the compound interest formula to determine how long it would take $2150 to grow to $6050 if the annual rate is 5% and interest is compounded monthly. Round your answer to the nearest tenth.

Use a calculator to evaluate e^3.4, rounded to six decimal places.

Solve using any appropriate method. Answer in exact form. ln(x + 1) + ln 8 = 6

Determine if the function is one-to-one by noting the functions family to which it belongs and mentally picturing the shape of its graph. f(x) = 4x - 10

Use a calculator to find an approximate value, rounded to four decimal places. log 732

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Exam 4: Exponential and Logarithmic Functions

Determine the domain of the function.

Graph the function using transformations of y = log b x and strategically plotting a few points. f(x) = -log 3(x + 2)

Use the properties of logarithms to write the expression as a sum or difference of simple logarithmic terms.

For simple interest accounts the interest earned or due depends on the principal p, interest rate r, and the time t in years according to the formula I = prt. Find p given I = $50.14, r = 10.5%, and t = 6 months. Round your answer to the nearest dollar.

Determine the value of the expression without using a calculator. log 3 9

Solve by converting to exponential form. log(3x - 5) = 2

Write the equation in exponential form. 2 = log 5 25

Solve using the method of your choice. Answer in approximate form rounded to four decimal places. 10x = 29

Graph by the following function by translating the basic function y = bx, sketching the asymptote, and strategically plotting a few points to round out the graph. y =

Find the inverse function of the one-to-one function given. {(-1, 1), (-3, 4), (4, 0), (-5, 3), (-2, 2)}

Solve the equation in two ways: by equating bases and using the uniqueness properties and by applying a base-10 or base-e logarithm and using the power property of logarithms. 3x = 27

Use the compound interest formula to determine how long it would take $2150 to grow to $6050 if the annual rate is 5% and interest is compounded monthly. Round your answer to the nearest tenth.

Use a calculator to evaluate e3.4, rounded to six decimal places.

Solve using any appropriate method. Answer in exact form. ln(x + 1) + ln 8 = 6

Determine if the function is one-to-one by noting the functions family to which it belongs and mentally picturing the shape of its graph. f(x) = 4x - 10

Use a calculator to find an approximate value, rounded to four decimal places. log 732

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Graph the function using transformations of y = log_bx and strategically plotting a few points. f(x) = -log₃(x + 2)

Determine the value of the expression without using a calculator. log₃9

Write the equation in exponential form. 2 = log₅25

Solve using the method of your choice. Answer in approximate form rounded to four decimal places. 10^x = 29

Graph by the following function by translating the basic function y = b^x, sketching the asymptote, and strategically plotting a few points to round out the graph. y =

Solve the equation in two ways: by equating bases and using the uniqueness properties and by applying a base-10 or base-e logarithm and using the power property of logarithms. 3^x = 27

Use a calculator to evaluate e^3.4, rounded to six decimal places.