Question 1

Find the inverse function of f. State the domain and range of f.
-
A)f 
B) 
C) 
D)

Accepted Answer

The answer of Find the inverse function of f. State...

Question 2

The function f is one-to-one. Find its inverse.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of The function f is one-to-one. Find its...

Question 3

Find a formula for the inverse of the function described below.
-A size 6 dress in Country C is size 32 in Country D. A function that converts dress sizes in Country C tothose in Country D is f(x)= x + 26.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find a formula for the inverse of...

Question 4

Determine i)the domain of the function, ii)the range of the function, iii)the domain of the inverse, and iv)the
range of the inverse.
-
A) 
B)f(x): D is all real numbers, R is all real numbers;  : D is all real numbers, R is all real numbers
C) 
D)

Accepted Answer

The answer of Determine i)the domain of the function, ii)the...

Question 5

Determine i)the domain of the function, ii)the range of the function, iii)the domain of the inverse, and iv)the
range of the inverse.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Determine i)the domain of the function, ii)the...

Question 6

Determine i)the domain of the function, ii)the range of the function, iii)the domain of the inverse, and iv)the
range of the inverse.
-f(x)= 
A) 
B)f(x): D is all real numbers, R is all real numbers;  : D is all real numbers, R is all real numbers
C) 
D)

Accepted Answer

The answer of Determine i)the domain of the function, ii)the...

Question 7

Approximate the value using a calculator. Express answer rounded to three decimal places.
-
A)837.605
B)659.061
C)19.698
D)414.617

Accepted Answer

The answer of Approximate the value using a calculator. Express...

Question 8

Approximate the value using a calculator. Express answer rounded to three decimal places.
-
A)24.251
B)27.984
C)9.200
D)256.000

Accepted Answer

The answer of Approximate the value using a calculator. Express...

Question 9

Find a formula for the inverse of the function described below.
-An organization determines that the cost per person of chartering a bus is given by the formula  where x is the number of people in the group and C(x)is in dollars.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find a formula for the inverse of...

Question 10

Find a formula for the inverse of the function described below.
-A size 52 dress in Country C is size 14 in Country D. A function that converts dress sizes in Country C tothose in Country D is f 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find a formula for the inverse of...

Question 11

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The accompanying tables represent a function f that converts seconds to hours and a function g thatconverts hours to days. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Write the word or phrase that best...

Question 12

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The profit P for selling x items is given by the equation  Express the sales amount x as afunction of the profit P.

Accepted Answer

The answer of Write the word or phrase that best...

Question 13

Determine i)the domain of the function, ii)the range of the function, iii)the domain of the inverse, and iv)the
range of the inverse.
-f(x)= -2x - 1
A)f(x): D is all real numbers, R is all real numbers;  D is all real numbers, R is all real numbers
B) 
C) 
D)

Accepted Answer

i) The domain of the function is all real numbers, as there are no restrictions on the possible input values of x.
ii) The range of the function is also all real numbers, as the function can output any possible real number depending on the input value of x.
iii) To find the domain of the inverse, we need to switch the roles of the input and output variables and solve for the new output variable, which is now the input variable. So, we have y = -2x - 1, which we can solve for x to get x = (-1/2)y - 1/2. The domain of the inverse is therefore all real numbers since there are no restrictions on the possible input values of y.
iv) Similarly, to find the range of the inverse, we need to solve for the new output variable, which is now x. So, we have y = -2x - 1, which we can solve for y to get y = -2x - 1. The range of the inverse is therefore also all real numbers, as the inverse can output any possible real number depending on the input value of x. i) The domain of the function is all real numbers, as there are no restrictions on x in the equation.
ii) The range of the function is also all real numbers, as any value for x can be plugged in and produce a corresponding unique value of y (output).
iii) To find the domain of the inverse, we need to find the range of the original function. Since the range is all real numbers, the domain of the inverse is also all real numbers.
iv) For the range of the inverse, we switch the roles of x and y in the equation and solve for y:
y = -2x - 1
x = -2y - 1
(x+1)/(-2) = y
So the range of the inverse is also all real numbers.

Question 14

Find a formula for the inverse of the function described below.
- Fahrenheit =  Celsius. A function that converts temperatures in Celsius to those in Fahrenheit is 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find a formula for the inverse of...

Question 15

Find a formula for the inverse of the function described below.
-A size 6 dress in Country C is size 52 in Country D. A function that converts dress sizes in Country C tothose in Country D is f(x)= 2(x + 20).
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find a formula for the inverse of...

Question 16

The function f is one-to-one. Find its inverse.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of The function f is one-to-one. Find its...

Question 17

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The weight W of a birdʹs brain (in ounces)is related to the volume V of the birdʹs skull (in cubic ounces)through the function  (a)Express the skull volume V as a function of brain weight W.(b)Predict the skull volume of a bird whose brain weighs 3 oz.

Accepted Answer

The answer of Write the word or phrase that best...

Question 18

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The function  is not one-to-one.(a)Find a suitable restriction on the domain of f so that the new function that results is one-to-one.(b)Find the inverse of f.

Accepted Answer

The answer of Write the word or phrase that best...

Question 19

Determine i)the domain of the function, ii)the range of the function, iii)the domain of the inverse, and iv)the
range of the inverse.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Determine i)the domain of the function, ii)the...

Question 20

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-To remodel a bathroom, a contractor charges $30 per hour plus material costs, which amount to $4,350.Therefore, the total cost to remodel the bathroom is given by f(x)= 30x + 4,350 where x is the number ofhours the contractor works. Find a formula for  What does  compute?
A)  This computes the number of hours worked if the total cost is x dollars.
B)  ; This computes the total cost if the contractor works x hours.
C)  This computes the number of hours worked if the total cost is x dollars.
D)  This computes the total cost if the contractor works x hours.

Accepted Answer

The answer of Write the word or phrase that best...

Quiz 6: Exponential and Logarithmic Functions

Find the inverse function of f. State the domain and range of f. -

The function f is one-to-one. Find its inverse. -

Find a formula for the inverse of the function described below. -A size 6 dress in Country C is size 32 in Country D. A function that converts dress sizes in Country C tothose in Country D is f(x) = x + 26.

Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse. -

Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse. -

Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse. -f(x) =

Approximate the value using a calculator. Express answer rounded to three decimal places. -

Approximate the value using a calculator. Express answer rounded to three decimal places. -

Find a formula for the inverse of the function described below. -An organization determines that the cost per person of chartering a bus is given by the formula where x is the number of people in the group and C(x) is in dollars.

Find a formula for the inverse of the function described below. -A size 52 dress in Country C is size 14 in Country D. A function that converts dress sizes in Country C tothose in Country D is f

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -The accompanying tables represent a function f that converts seconds to hours and a function g thatconverts hours to days.

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -The profit P for selling x items is given by the equation Express the sales amount x as afunction of the profit P.

Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse. -f(x) = -2x - 1

Find a formula for the inverse of the function described below. - Fahrenheit = Celsius. A function that converts temperatures in Celsius to those in Fahrenheit is

Find a formula for the inverse of the function described below. -A size 6 dress in Country C is size 52 in Country D. A function that converts dress sizes in Country C tothose in Country D is f(x) = 2(x + 20) .

The function f is one-to-one. Find its inverse. -

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -The function is not one-to-one.(a)Find a suitable restriction on the domain of f so that the new function that results is one-to-one.(b)Find the inverse of f.

Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse. -