Question 1

Approximate each logarithm to three decimal places. log420

Accepted Answer

A)  1.738 
B)  1.861 
C)  1.216 
D)  1.490 
A)  1.738 
B)  1.861 
C)  1.216 
D)  1.490

Question 2

Solve the equation. $2 ^ { - x } = \frac { 1 } { 2 }$

Accepted Answer

A)  x = 2 
B)  x = 4 
C)  x = $-$ 1 
D)  x = $-$ 3 
E)  x = 1 
A)  x = 2 
B)  x = 4 
C)  x = $-$ 1 
D)  x = $-$ 3 
E)  x = 1

Question 3

Form the inverse function f S1U1P1- -1S1S1P0, and list the domain and range of f S1U1P1- -1S1S1P0. f = {(0, 0), (2, 6), (-1, -1), (-2, -6)} Match the name of each set in the left column with the corresponding set in the right column.
-$\{ 0,6 , - 1 , - 6 \}$

Accepted Answer

A)  $\text { Range of } f ^ { - 1 }$ 
B)  $\text { Domain of } f ^ { - 1 }$ 
C)  $\text { The inverse function } f ^ { - 1 }$ 
A)  $\text { Range of } f ^ { - 1 }$ 
B)  $\text { Domain of } f ^ { - 1 }$ 
C)  $\text { The inverse function } f ^ { - 1 }$

Question 4

Determine whether the function f is one-to-one. f ( x ) = $-$ x 8 Please enter yes or no .

Accepted Answer

The answer of Determine whether the function f is one-to-one....

Question 5

Select the correct statement from the following.

Accepted Answer

A)  $f ( x ) = \frac { 5 } { 5 x - 1 } \text { for } x > \frac { 1 } { 5 } \text { and } g ( x ) = \frac { x + 5 } { 5 x } \text { for } x > 0 \text { are inverses of each other }$ . 
B)  $f ( x ) = \frac { 1 } { 5 x - 1 } \text { for } x > \frac { 1 } { 5 } \text { and } g ( x ) = \frac { x + 5 } { 5 x } \text { for } x > 0 \text { are inverses of each other }$ . 
C)  $f ( x ) = \frac { 5 } { 5 x - 1 } \text { for } x > \frac { 1 } { 5 } \text { and } g ( x ) = \frac { x + 5 } { x } \text { for } x > 0 \text { are inverses of each other }$ . 
A)  $f ( x ) = \frac { 5 } { 5 x - 1 } \text { for } x > \frac { 1 } { 5 } \text { and } g ( x ) = \frac { x + 5 } { 5 x } \text { for } x > 0 \text { are inverses of each other }$ . 
B)  $f ( x ) = \frac { 1 } { 5 x - 1 } \text { for } x > \frac { 1 } { 5 } \text { and } g ( x ) = \frac { x + 5 } { 5 x } \text { for } x > 0 \text { are inverses of each other }$ . 
C)  $f ( x ) = \frac { 5 } { 5 x - 1 } \text { for } x > \frac { 1 } { 5 } \text { and } g ( x ) = \frac { x + 5 } { x } \text { for } x > 0 \text { are inverses of each other }$ .

Question 6

Solve the equation. log 10 ( 6 x $-$ 37 ) $-$ log 10 ( x $-$ 4 ) = 1

Accepted Answer

The answer of Solve the equation. log 10 ( 6...

Question 7

Use the formula $A = P e ^ { r t }$ to find the total amount of money accumulated at the end of the indicated time period by compounding continuously: $2,000 for 3 years at 4%. Please round the answer to the nearest cent. $__________

Accepted Answer

The answer of Use the formula \(A = P e...

Question 8

Determine whether the graph represents a one-to-one function.   Please enter yes or no .

Accepted Answer

The answer of Determine whether the graph represents a one-to-one...

Question 9

The $\log _ { 4 } 1$ equals 0.

Accepted Answer

A) True 
 B)False

Question 10

Find f - -1 ( x ). $f ( x ) = \sqrt { 7 x } \text { for } x \geq 0$

Accepted Answer

The answer of Find f - -1 ( x )....

Question 11

The logarithm of a number is always a nonnegative number.

Accepted Answer

A) True 
 B)False

Question 12

Use a calculator to find each common logarithm. Express answer to four decimal places. $\ln 0.000115$

Accepted Answer

The answer of Use a calculator to find each common...

Question 13

Approximate the logarithm log30.9 to three decimal places.

Accepted Answer

Question 14

Graph the exponential function. $f ( x ) = - e ^ { x }$

Accepted Answer

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

Question 15

In a certain balloon mortgage loan, the borrower pays the lender all of the principal and interest for the loan at the end of four years. What will be the payoff amount for a loan of $185,000 at 4% annual interest rate where the interest is compounded monthly?

Accepted Answer

A)  $217,041.85 
B)  $217,041.70 
C)  $217,041.80 
D)  $217,041.65 
E)  $217,041.75 
A)  $217,041.85 
B)  $217,041.70 
C)  $217,041.80 
D)  $217,041.65 
E)  $217,041.75

Question 16

Graph the exponential function. $f ( x ) = e ^ { - x }$

Accepted Answer

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

Question 17

Perform the following calculations and express answer to the nearest hundredth. $\frac { \log 7 } { 6 \log 1.41 }$

Accepted Answer

The answer of Perform the following calculations and express answer...

Question 18

Use the formula $A = p e ^ { r t }$ to find the total amount of money accumulated at the end of the indicated time period by compounding continuously: $2,250 for 4 years at 3%. Please round the answer to the nearest cent. $__________

Accepted Answer

The answer of Use the formula \(A = p e...

Question 19

Graph $y = \log _ { 6 } x$ by reflecting the graph of $g ( x ) = 6 ^ { x }$ across the line y = x .

Accepted Answer

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

Question 20

Use the formula $A = p e ^ { r t }$ to find the total amount of money accumulated at the end of the indicated time period by compounding continuously: $13,000 for 8 years at 6.25%. Please round the answer to the nearest cent. $__________

Accepted Answer

The answer of Use the formula \(A = p e...

Approximate each logarithm to three decimal places. log₄20

Solve the equation. $2 ^ { - x } = \frac { 1 } { 2 }$

Form the inverse function f ^{- -1}, and list the domain and range of f ^{- -1}. f = {(0, 0), (2, 6), (-1, -1), (-2, -6)} Match the name of each set in the left column with the corresponding set in the right column. - $\{ 0,6 , - 1 , - 6 \}$

Determine whether the function f is one-to-one. f ( x ) = $-$ x 8 Please enter yes or no .

Select the correct statement from the following.

Solve the equation. log 10 ( 6 x $-$ 37 ) $-$ log 10 ( x $-$ 4 ) = 1

Use the formula $A = P e ^ { r t }$ to find the total amount of money accumulated at the end of the indicated time period by compounding continuously: $2,000 for 3 years at 4%. Please round the answer to the nearest cent. $__________

Determine whether the graph represents a one-to-one function. Please enter yes or no .

The $\log _ { 4 } 1$ equals 0.

Find f - -1 ( x ). $f ( x ) = \sqrt { 7 x } \text { for } x \geq 0$

The logarithm of a number is always a nonnegative number.

Use a calculator to find each common logarithm. Express answer to four decimal places. $\ln 0.000115$

Approximate the logarithm log₃0.9 to three decimal places.

Graph the exponential function. $f ( x ) = - e ^ { x }$

In a certain balloon mortgage loan, the borrower pays the lender all of the principal and interest for the loan at the end of four years. What will be the payoff amount for a loan of $185,000 at 4% annual interest rate where the interest is compounded monthly?

Graph the exponential function. $f ( x ) = e ^ { - x }$

Perform the following calculations and express answer to the nearest hundredth. $\frac { \log 7 } { 6 \log 1.41 }$

Use the formula $A = p e ^ { r t }$ to find the total amount of money accumulated at the end of the indicated time period by compounding continuously: $2,250 for 4 years at 3%. Please round the answer to the nearest cent. $__________

Graph $y = \log _ { 6 } x$ by reflecting the graph of $g ( x ) = 6 ^ { x }$ across the line y = x .

Use the formula $A = p e ^ { r t }$ to find the total amount of money accumulated at the end of the indicated time period by compounding continuously: $13,000 for 8 years at 6.25%. Please round the answer to the nearest cent. $__________

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 14: Exponential and Logarithmic Functions

Approximate each logarithm to three decimal places. log420

Solve the equation. 2−x=122 ^ { - x } = \frac { 1 } { 2 }2−x=21​

Form the inverse function f - -1, and list the domain and range of f - -1. f = {(0, 0), (2, 6), (-1, -1), (-2, -6)} Match the name of each set in the left column with the corresponding set in the right column. - {0,6,−1,−6}\{ 0,6 , - 1 , - 6 \}{0,6,−1,−6}

Determine whether the function f is one-to-one. f ( x ) = −-− x 8 Please enter yes or no .

Select the correct statement from the following.

Solve the equation. log 10 ( 6 x −-− 37 ) −-− log 10 ( x −-− 4 ) = 1

Use the formula A=PertA = P e ^ { r t }A=Pert to find the total amount of money accumulated at the end of the indicated time period by compounding continuously: $2,000 for 3 years at 4%. Please round the answer to the nearest cent. $__________

Determine whether the graph represents a one-to-one function. Please enter yes or no .

The log⁡41\log _ { 4 } 1log4​1 equals 0.

Find f - -1 ( x ). f(x)=7x for x≥0f ( x ) = \sqrt { 7 x } \text { for } x \geq 0f(x)=7x​ for x≥0

The logarithm of a number is always a nonnegative number.

Use a calculator to find each common logarithm. Express answer to four decimal places. ln⁡0.000115\ln 0.000115ln0.000115

Approximate the logarithm log30.9 to three decimal places.

Graph the exponential function. f(x)=−exf ( x ) = - e ^ { x }f(x)=−ex

In a certain balloon mortgage loan, the borrower pays the lender all of the principal and interest for the loan at the end of four years. What will be the payoff amount for a loan of $185,000 at 4% annual interest rate where the interest is compounded monthly?

Graph the exponential function. f(x)=e−xf ( x ) = e ^ { - x }f(x)=e−x

Perform the following calculations and express answer to the nearest hundredth. log⁡76log⁡1.41\frac { \log 7 } { 6 \log 1.41 }6log1.41log7​

Use the formula A=pertA = p e ^ { r t }A=pert to find the total amount of money accumulated at the end of the indicated time period by compounding continuously: $2,250 for 4 years at 3%. Please round the answer to the nearest cent. $__________

Graph y=log⁡6xy = \log _ { 6 } xy=log6​x by reflecting the graph of g(x)=6xg ( x ) = 6 ^ { x }g(x)=6x across the line y = x .

Use the formula A=pertA = p e ^ { r t }A=pert to find the total amount of money accumulated at the end of the indicated time period by compounding continuously: $13,000 for 8 years at 6.25%. Please round the answer to the nearest cent. $__________

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Systems of Equations: Matrices and Determinants

Filters

Approximate each logarithm to three decimal places. log₄20

Solve the equation. $2 ^ { - x } = \frac { 1 } { 2 }$

Form the inverse function f ^{- -1}, and list the domain and range of f ^{- -1}. f = {(0, 0), (2, 6), (-1, -1), (-2, -6)} Match the name of each set in the left column with the corresponding set in the right column. - $\{ 0,6 , - 1 , - 6 \}$

Determine whether the function f is one-to-one. f ( x ) = $-$ x 8 Please enter yes or no .

Solve the equation. log 10 ( 6 x $-$ 37 ) $-$ log 10 ( x $-$ 4 ) = 1

Use the formula $A = P e ^ { r t }$ to find the total amount of money accumulated at the end of the indicated time period by compounding continuously: $2,000 for 3 years at 4%. Please round the answer to the nearest cent. $__________

The $\log _ { 4 } 1$ equals 0.

Find f - -1 ( x ). $f ( x ) = \sqrt { 7 x } \text { for } x \geq 0$

Use a calculator to find each common logarithm. Express answer to four decimal places. $\ln 0.000115$

Approximate the logarithm log₃0.9 to three decimal places.

Graph the exponential function. $f ( x ) = - e ^ { x }$

Graph the exponential function. $f ( x ) = e ^ { - x }$

Perform the following calculations and express answer to the nearest hundredth. $\frac { \log 7 } { 6 \log 1.41 }$

Use the formula $A = p e ^ { r t }$ to find the total amount of money accumulated at the end of the indicated time period by compounding continuously: $2,250 for 4 years at 3%. Please round the answer to the nearest cent. $__________

Graph $y = \log _ { 6 } x$ by reflecting the graph of $g ( x ) = 6 ^ { x }$ across the line y = x .

Use the formula $A = p e ^ { r t }$ to find the total amount of money accumulated at the end of the indicated time period by compounding continuously: $13,000 for 8 years at 6.25%. Please round the answer to the nearest cent. $__________