Question 1

Compute the average rate of change of y = ln x over the interval [2, 2.0001]. Round your answer to the nearest hundredth

Accepted Answer

A)  $\approx$ 0.49 
B)  $\approx$ 0.50 
C)  $\approx$ 0.62 
D)  $\approx$ 0.81 
A)  $\approx$ 0.49 
B)  $\approx$ 0.50 
C)  $\approx$ 0.62 
D)  $\approx$ 0.81

Question 2

Determine whether the function is one-to-one. If not, state why.
{(3, 4), (1, 7), (8, 3), (-1, 4), (2, 5), (6, -1)}

Accepted Answer

not one-to

Question 3

Plot f(x) and its inverse f -1(x) on the same grid and "dash-in" the line y = x.
f(x) = (x + 3)2, x ≥ -3; f -1(x) =

Accepted Answer

@#IMG-DLM& (Gridline

Question 4

For accounts where interest is compounded continuously, the amount A accumulated or due depends on the principal p, interest rate r and the time t in years according to the formula A = pert. How long would it take $4000 to double if it were invested at 4.5%? Round your answer to the nearest tenth of a percent.

Accepted Answer

A)  15.1 years 
B)  15.2 years 
C)  15.3 years 
D)  15.4 years 
A)  15.1 years 
B)  15.2 years 
C)  15.3 years 
D)  15.4 years

Question 5

Determine the value of x by writing the equation in exponential form. log 16 32 = x

Accepted Answer

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

Question 6

Graph using a table of values and integer inputs between -3 and 3. y = 5x

Accepted Answer

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.) 
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 7

Use the following to answer questions :
The magnitude of an earthquake is given by the equation   where I is the actual intensity of the earthquake and IS1U1B10S1U1B0 is the reference intensity (the smallest earth movement that can be recorded on a seismograph).
-Find the intensity I of the earthquake given M(I) = 4.5. Round your answer to the nearest tenth.

Accepted Answer

A)  ≈ 31,632.9I0 
B)  ≈ 31,622.8I0 
C)  ≈ 31,617.6I0 
D)  ≈ 31,610.5I0 
A)  ≈ 31,632.9I0 
B)  ≈ 31,622.8I0 
C)  ≈ 31,617.6I0 
D)  ≈ 31,610.5I0

Question 8

Use the power property of logarithms to rewrite the term as a product of a constant and a logarithmic term.
ln74x - 3

Accepted Answer

Question 9

Solve the equation by writing it in exponential form. Answer in exact form and approximate form using a calculator (round to thousandths).
ln x = 1.587

Accepted Answer

x = e<sup>

Question 10

Use the properties of logarithms to write the expression as a single term. ln(x + 3) - ln(x + 1)

Accepted Answer

A)    
B)  ln(3) 
C)  ln[(x + 3)(x + 1)] 
D)  ln(2) 
A)    
B)  ln(3) 
C)  ln[(x + 3)(x + 1)] 
D)  ln(2)

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.

Accepted Answer

A)  n = 4 
B)  n = 5 
C)  n = 6 
D)  n = 7 
A)  n = 4 
B)  n = 5 
C)  n = 6 
D)  n = 7

Question 12

Plot f(x) and its inverse f -1(x) on the same grid and "dash-in" the line y = x.
f(x) = 2x + 3; f -1(x) =

Accepted Answer

@#IMG-DLM& (Gridline

Question 13

The time required for a population to triple is given by   , where r represents the growth rate (expressed as a decimal) and T(r) gives the years required. How long would it take a population to triple if the growth rate were 3.9%? Round your answer to the nearest tenth.

Accepted Answer

A) . $\approx$ 28.2 years 
B) . $\approx$ 28.3 years 
C) . $\approx$ 28.4 years 
D) . $\approx$ 28.5 years 
A) . $\approx$ 28.2 years 
B) . $\approx$ 28.3 years 
C) . $\approx$ 28.4 years 
D) . $\approx$ 28.5 years

Question 14

$200 is invested in an account paying 7.5% compounded annually. How much will the account be worth after 8 years? [Round to the nearest cent. Use the compound interest formula   .]

Accepted Answer

A)  $\approx$ $351.54 
B)  $\approx$ $353.38 
C)  $\approx$ $356.70 
D)  $\approx$ $361.98 
A)  $\approx$ $351.54 
B)  $\approx$ $353.38 
C)  $\approx$ $356.70 
D)  $\approx$ $361.98

Question 15

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) 
 
(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.) 
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 16

For simple interest accounts, the amount A accumulated or due depends on the principal p, interest rate r, and the time t in years according to the formula A = p(1 + rt). Find p given A = $1971.20, r = 16%, and t = 9 months. Round your answer to the nearest dollar.

Accepted Answer

A)  $1760 
B)  $1765 
C)  $1770 
D)  $1775 
A)  $1760 
B)  $1765 
C)  $1770 
D)  $1775

Question 17

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

@#IMG-DLM& (Gridline

Question 18

If a periodic payment p is deposited n times per year, with annual interest rate r also compounded n times per year for t years, the future value of the account is given by   , where   . How long would it take to save $10,000.00 if you deposit $60 monthly at an annual rate of 5.5% compounded monthly. Round your answer to the nearest year.

Accepted Answer

A)  5 years 
B)  7 years 
C)  10 years 
D)  13 years 
A)  5 years 
B)  7 years 
C)  10 years 
D)  13 years

Question 19

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. Clearly state what shifts are applied.
y = 2x + 1 - 2

Accepted Answer

left 1, down 2 @#IMG-DLM& (Gri

Question 20

Solve using the method of your choice. Answer in exact form. 3x = 23x - 8

Accepted Answer

A)  x =   
B)  x =   
C)  x =   
D)  x =   
A)  x =   
B)  x =   
C)  x =   
D)  x =

Compute the average rate of change of y = ln x over the interval [2, 2.0001]. Round your answer to the nearest hundredth

Determine whether the function is one-to-one. If not, state why. {(3, 4), (1, 7), (8, 3), (-1, 4), (2, 5), (6, -1)}

Plot f(x) and its inverse f^-1(x) on the same grid and "dash-in" the line y = x. f(x) = (x + 3)², x ≥ -3; f^-1(x) =

Determine the value of x by writing the equation in exponential form. log₁₆32 = x

Graph using a table of values and integer inputs between -3 and 3. y = 5^x

Use the power property of logarithms to rewrite the term as a product of a constant and a logarithmic term. ln7⁴^x^{- 3}

Solve the equation by writing it in exponential form. Answer in exact form and approximate form using a calculator (round to thousandths). ln x = 1.587

Use the properties of logarithms to write the expression as a single term. ln(x + 3) - ln(x + 1)

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.

Plot f(x) and its inverse f^-1(x) on the same grid and "dash-in" the line y = x. f(x) = 2x + 3; f^-1(x) =

The time required for a population to triple is given by , where r represents the growth rate (expressed as a decimal) and T(r) gives the years required. How long would it take a population to triple if the growth rate were 3.9%? Round your answer to the nearest tenth.

$200 is invested in an account paying 7.5% compounded annually. How much will the account be worth after 8 years? [Round to the nearest cent. Use the compound interest formula .]

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 =

For simple interest accounts, the amount A accumulated or due depends on the principal p, interest rate r, and the time t in years according to the formula A = p(1 + rt). Find p given A = $1971.20, r = 16%, and t = 9 months. Round your answer to the nearest dollar.

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 =

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. Clearly state what shifts are applied. y = 2^x ^{+ 1} - 2

Solve using the method of your choice. Answer in exact form. 3^x= 2³^x^{- 8}

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

Compute the average rate of change of y = ln x over the interval [2, 2.0001]. Round your answer to the nearest hundredth

Determine whether the function is one-to-one. If not, state why. {(3, 4), (1, 7), (8, 3), (-1, 4), (2, 5), (6, -1)}

Plot f(x) and its inverse f -1(x) on the same grid and "dash-in" the line y = x. f(x) = (x + 3)2, x ≥ -3; f -1(x) =

Determine the value of x by writing the equation in exponential form. log 16 32 = x

Graph using a table of values and integer inputs between -3 and 3. y = 5x

Use the power property of logarithms to rewrite the term as a product of a constant and a logarithmic term. ln74x - 3

Solve the equation by writing it in exponential form. Answer in exact form and approximate form using a calculator (round to thousandths). ln x = 1.587

Use the properties of logarithms to write the expression as a single term. ln(x + 3) - ln(x + 1)

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.

Plot f(x) and its inverse f -1(x) on the same grid and "dash-in" the line y = x. f(x) = 2x + 3; f -1(x) =

The time required for a population to triple is given by , where r represents the growth rate (expressed as a decimal) and T(r) gives the years required. How long would it take a population to triple if the growth rate were 3.9%? Round your answer to the nearest tenth.

$200 is invested in an account paying 7.5% compounded annually. How much will the account be worth after 8 years? [Round to the nearest cent. Use the compound interest formula .]

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 =

For simple interest accounts, the amount A accumulated or due depends on the principal p, interest rate r, and the time t in years according to the formula A = p(1 + rt). Find p given A = $1971.20, r = 16%, and t = 9 months. Round your answer to the nearest dollar.

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 =

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. Clearly state what shifts are applied. y = 2x + 1 - 2

Solve using the method of your choice. Answer in exact form. 3x = 23x - 8

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

Plot f(x) and its inverse f^-1(x) on the same grid and "dash-in" the line y = x. f(x) = (x + 3)², x ≥ -3; f^-1(x) =

Determine the value of x by writing the equation in exponential form. log₁₆32 = x

Graph using a table of values and integer inputs between -3 and 3. y = 5^x

Use the power property of logarithms to rewrite the term as a product of a constant and a logarithmic term. ln7⁴^x^{- 3}

Plot f(x) and its inverse f^-1(x) on the same grid and "dash-in" the line y = x. f(x) = 2x + 3; f^-1(x) =

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 =

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 =

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. Clearly state what shifts are applied. y = 2^x ^{+ 1} - 2

Solve using the method of your choice. Answer in exact form. 3^x= 2³^x^{- 8}