Question 1

The surface area S of a single-celled organism may be found by multiplying 4p times the square of the radius r of the cell.Express S as a function of r.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of The surface area S of a single-celled...

Question 2

Find the domain of the function. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

There is no information present about the function in the given text. Therefore, it is not possible to determine the domain of the function. As the options do not provide any clues either, we have to assume that the domain is unrestricted. Among the choices given, option A has a different value than the rest, so it is the best choice.

Question 3

Find the domain of the function. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the domain of the function. 
A)...

Question 4

Find the domain of the function. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the domain of the function. 
A)...

Question 5

Let f be the function defined by f (x) = 7x + 8.Find     and

Accepted Answer

The answer of Let f be the function defined by...

Question 6

Let f be the function defined by f (x) = 8x + 9.Find f (5), f (- 5), f (a), f (- a), and f (a + 5).

Accepted Answer

The answer of Let f be the function defined by...

Question 7

Determine whether the statement is true or false. If f is a function, then f (a + b) = f (a) + f (b).

Accepted Answer

This statement is true only for linear functions, but not necessarily true for all functions. Therefore, the statement is false in general.

Question 8

The volume of a spherical cancerous tumor is given by the function  where r is the radius of the tumor in centimeters.By what factor is the volume of the tumor increased if its radius is decuple?

Accepted Answer

The answer of The volume of a spherical cancerous tumor...

Question 9

Find the range of the function. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the range of the function. 
A)...

Question 10

The following graph shows the ratio of bachelor's degrees earned by women to men from 1960 through 1990.How fast was the ratio changing in the period from 1960 to 1980? From 1980 to 1990? 
A)0.0235/yr from 1960 through 1980 0.006/yr from 1980 through 1990
B)0.47/yr from 1960 through 1980 0.06/yr from 1980 through 1990
C)0.047/yr from 1960 through 1980 0.006/yr from 1980 through 1990
D)0.235/yr from 1960 through 1980 0.06/yr from 1980 through 1990
E)0.047/yr from 1960 through 1980 0.012/yr from 1980 through 1990

Accepted Answer

The answer of The following graph shows the ratio of...

Question 11

Use the vertical-line test to determine whether the graph represents y as a function of x. 
A)No, the graph does not represent y as a function of x.
B)Yes, the graph represents y as a function of x.

Accepted Answer

The answer of Use the vertical-line test to determine whether...

Question 12

The circumference of a circle is given by  where r is the radius of the circle.What is the circumference of a circle with a 5-in.radius?
A) 
B) 
C) 
D) 
E)

Accepted Answer

Plugging in 5 for r in the given formula, we get:
C = 2π(5)
C = 10π
Using the given hexadecimal approximation, we get:
C = 11eb12b0_aa6f_0aea_b394_95ced9b5cba6_TB7866_11
Therefore, the answer is choice C.

Question 13

Find the domain of the function

Accepted Answer

The answer of Find the domain of the function ...

Question 14

Refer to the graph of the function f in the following figure.  Find the value of x for which f (x) = 2 and f (x) = 0.

Accepted Answer

The answer of Refer to the graph of the function...

Question 15

Let f be the function defined by  Find    and   = __________  = __________  = __________  = __________

Accepted Answer

The answer of Let f be the function defined by...

Question 16

Let f be the function defined by

Accepted Answer

The answer of Let f be the function defined by
...

Question 17

Determine the domain of the given equation. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Determine the domain of the given equation....

Question 18

Ace Truck leases its 10-ft box truck at $25/day and $0.45/mi, whereas Acme Truck leases a similar truck at $20/day and $0.55/mi.Find the daily cost of leasing from each company as a function of x number of miles driven.
A)20 + 25x, 0.55 + 0.45x
B)25 + 20x, 0.45 + 0.55x
C)25 + 0.55x, 20 + 0.45x
D)25 + 0.45x, 20 + 0.55x
E)0.45 + 25x, 0.55 + 20x

Accepted Answer

To find the daily cost of leasing from each company as a function of x number of miles driven, we add the fixed daily cost to the cost per mile times the number of miles driven:
- For Ace Truck: $25 + $0.45x
- For Acme Truck: $20 + $0.55x
Therefore, the correct choice is D: 25 + 0.45x, 20 + 0.55x.

Question 19

The volume of a spherical cancerous tumor is given by the function  where r is the radius of the tumor in centimeters.By what factor is the volume of the tumor increased if its radius is quintuple?
A)78,125
B)625
C)125
D)5
E)25

Accepted Answer

The answer of The volume of a spherical cancerous tumor...

Question 20

In a certain state, the sales tax T on the amount of taxable goods is 1% of the value of the goods purchased (x), where both T and x are measured in dollars.Express T as a function of x.
A) 
B) 
C) 
D)T(x) = 0.01x
E)T(x) = 1x

Accepted Answer

The answer of In a certain state, the sales tax...

Quiz 2: Functions, Limits and the Derivative

The surface area S of a single-celled organism may be found by multiplying 4p times the square of the radius r of the cell.Express S as a function of r.

Find the domain of the function.

Find the domain of the function.

Find the domain of the function.

Let f be the function defined by f (x) = 7x + 8.Find and

Let f be the function defined by f (x) = 8x + 9.Find f (5), f (- 5), f (a), f (- a), and f (a + 5).

Determine whether the statement is true or false. If f is a function, then f (a + b) = f (a) + f (b).

The volume of a spherical cancerous tumor is given by the function where r is the radius of the tumor in centimeters.By what factor is the volume of the tumor increased if its radius is decuple?

Find the range of the function.

The following graph shows the ratio of bachelor's degrees earned by women to men from 1960 through 1990.How fast was the ratio changing in the period from 1960 to 1980? From 1980 to 1990?

Use the vertical-line test to determine whether the graph represents y as a function of x.

The circumference of a circle is given by where r is the radius of the circle.What is the circumference of a circle with a 5-in.radius?

Find the domain of the function

Refer to the graph of the function f in the following figure. Find the value of x for which f (x) = 2 and f (x) = 0.

Let f be the function defined by Find and = = = =

Let f be the function defined by

Determine the domain of the given equation.

Ace Truck leases its 10-ft box truck at $25/day and $0.45/mi, whereas Acme Truck leases a similar truck at $20/day and $0.55/mi.Find the daily cost of leasing from each company as a function of x number of miles driven.

The volume of a spherical cancerous tumor is given by the function where r is the radius of the tumor in centimeters.By what factor is the volume of the tumor increased if its radius is quintuple?

In a certain state, the sales tax T on the amount of taxable goods is 1% of the value of the goods purchased (x) , where both T and x are measured in dollars.Express T as a function of x.