Calculus and Above

Calculus Questions? Ask a Mathematician for Answers ASAP

Connect one-on-one with {0} who will answer your question

(10) Let A = {q...

(10) Let A = {q, r, s, t} and B = {17, 18, 19, 20}. Determine which of the following are functions. Explain why or why not.

f⊆A × B,where f={(q,17),(r,18),(s,19),(t,20)}

g⊆A × B,where g={(q,17),(q,20),(s,19),(t,20),(r,20)}

h⊆A × B,where h={(q,17),(r,20),(s,19),(t,20)}

k⊆B × B,where k={(17,17),(18,17),(19,17),(20,18)}

l⊆A × A,where l={(q,r),(q,s),(s,r),(t,t)}

(10) Give the ranges of each of these functions where sets A and B are as stated in #1:

f⊆A × B,where f={(q,17),(r,18),(s,19),(t,20)}

g⊆A × B,where g={(q,17),(s,19),(t,20),(r,20)}

h⊆A × B,where h={(q,17),(r,20),(s,17),(t,20)}

k⊆B × B,where k={(17,17),(18,17),(19,17),(20,17)}

l⊆A × A,where l={(q,r),(r,s),(s,q),(t,t)}

(10) State whether each of these functions, where sets A and B are as stated in #1, are one-to-one, onto, both, or neither, and give a brief explanation for each answer:

f⊆A × B,where f={(q,17),(r,18),(s,19),(t,20)}

g⊆A × B,where g={(q,17),(s,19),(t,20),(r,20)}

h⊆A × B,where h={(q,17),(r,20),(s,17),(t,20)}

k⊆B × B,where k={(17,17),(18,17),(19,17),(20,17)}

l⊆A × A,where l={(q,r),(r,s),(s,q),(t,t)}

(8) Determine all bijections from A into B.

A = {q, r, s} and B = {2, 3, 4}

A = {1, 2, 3, 4} and B = {5, 6, 7, 8}

(10) Which of the following functions from R→R are one-to-one, onto, or both? Prove your answers.

f(x)=3x-4

g(x)= x^2-2

h(x)= 2/x

k(x)=ln(x)

l(x)=e^x

(12) For each function in parts a through f, state a domain that, if it was the domain of the given function, would make the function one-to-one, and explain your answer. If no such domain exists, explain why not. (Hint: graph the function and use the appropriate line test).

f(x)=|x-2|

g(x)=x^2-2

h(x)=x-4x+7

k(x)=x^3+4

f(x)=3x-4

l(x)=-|3x-6|

(12) For each function in parts a through f, state a codomain that, if it was the codomain of the given function, would make the function onto, and explain your answer. If no such codomain exists, explain why not.

f(x)=|x-2|

g(x)=x^2-2

h(x)=x-4x+7

k(x)=x^3+4

f(x)=3x-4

l(x)=-|3x-6|

(10) Let f = {(-2, 3), (-1, 1), (0, 0), (1, -1), (2, -3)} and

let g = {(-3, 1), (-1, -2), (0, 2), (2, 2), (3, 1)}. Find:

f(1)

g(-1)

(g∘f)(1)

(g∘f∘f)(-1)

(f∘g)(3)

(8) Define q, r, and s, all functions on the integers, by q(n)=n^2+2^n, r(n)=n-7, and s(n)=5n-3. Determine:

q∘r∘s

r∘s∘q

(q∘s∘r)(8)

(s∘r∘q)(2)

(10) Consider the functions f, g (both on the reals) defined by f(x)=8x+5 and g(x)=x^2.

Show that f is injective.

Show that f is surjective.

Find f^(-1) (x).

Find g∘f(x).

Find f∘g(x).

f⊆A × B,where f={(q,17),(r,18),(s,19),(t,20)}

g⊆A × B,where g={(q,17),(q,20),(s,19),(t,20),(r,20)}

h⊆A × B,where h={(q,17),(r,20),(s,19),(t,20)}

k⊆B × B,where k={(17,17),(18,17),(19,17),(20,18)}

l⊆A × A,where l={(q,r),(q,s),(s,r),(t,t)}

(10) Give the ranges of each of these functions where sets A and B are as stated in #1:

f⊆A × B,where f={(q,17),(r,18),(s,19),(t,20)}

g⊆A × B,where g={(q,17),(s,19),(t,20),(r,20)}

h⊆A × B,where h={(q,17),(r,20),(s,17),(t,20)}

k⊆B × B,where k={(17,17),(18,17),(19,17),(20,17)}

l⊆A × A,where l={(q,r),(r,s),(s,q),(t,t)}

(10) State whether each of these functions, where sets A and B are as stated in #1, are one-to-one, onto, both, or neither, and give a brief explanation for each answer:

f⊆A × B,where f={(q,17),(r,18),(s,19),(t,20)}

g⊆A × B,where g={(q,17),(s,19),(t,20),(r,20)}

h⊆A × B,where h={(q,17),(r,20),(s,17),(t,20)}

k⊆B × B,where k={(17,17),(18,17),(19,17),(20,17)}

l⊆A × A,where l={(q,r),(r,s),(s,q),(t,t)}

(8) Determine all bijections from A into B.

A = {q, r, s} and B = {2, 3, 4}

A = {1, 2, 3, 4} and B = {5, 6, 7, 8}

(10) Which of the following functions from R→R are one-to-one, onto, or both? Prove your answers.

f(x)=3x-4

g(x)= x^2-2

h(x)= 2/x

k(x)=ln(x)

l(x)=e^x

(12) For each function in parts a through f, state a domain that, if it was the domain of the given function, would make the function one-to-one, and explain your answer. If no such domain exists, explain why not. (Hint: graph the function and use the appropriate line test).

f(x)=|x-2|

g(x)=x^2-2

h(x)=x-4x+7

k(x)=x^3+4

f(x)=3x-4

l(x)=-|3x-6|

(12) For each function in parts a through f, state a codomain that, if it was the codomain of the given function, would make the function onto, and explain your answer. If no such codomain exists, explain why not.

f(x)=|x-2|

g(x)=x^2-2

h(x)=x-4x+7

k(x)=x^3+4

f(x)=3x-4

l(x)=-|3x-6|

(10) Let f = {(-2, 3), (-1, 1), (0, 0), (1, -1), (2, -3)} and

let g = {(-3, 1), (-1, -2), (0, 2), (2, 2), (3, 1)}. Find:

f(1)

g(-1)

(g∘f)(1)

(g∘f∘f)(-1)

(f∘g)(3)

(8) Define q, r, and s, all functions on the integers, by q(n)=n^2+2^n, r(n)=n-7, and s(n)=5n-3. Determine:

q∘r∘s

r∘s∘q

(q∘s∘r)(8)

(s∘r∘q)(2)

(10) Consider the functions f, g (both on the reals) defined by f(x)=8x+5 and g(x)=x^2.

Show that f is injective.

Show that f is surjective.

Find f^(-1) (x).

Find g∘f(x).

Find f∘g(x).

Show More

Show Less

Was this answer helpful?

Describe your issueThe assistant will guide you

Chat 1:1 with a tutorLicensed Experts are available 24/7

100% satisfaction guaranteeGet all the answers you need

Related Calculus and Above Questions

Is there a significant correlation between household income

Is there a significant correlation between household income and the size which a child will draw a nickel? Household incomes (in thousands of $) are shown for each of the 75 samples below, along with … read more

For the code problem u just done for me can u explain how

For the code problem u just done for me can u explain how you that answer the word was quadrant… read more

A sample of 95 men found that 36 gamble. Another sample of

A sample of 95 men found that 36 gamble. Another sample of 66 women found that 19 gamble. At α-level of 0.01, do the proportion of women gamble less than men? (10 points)a) Based on reading the proble… read more

1. Express f(x) in the form a(x − h)2 + k. f(x) = −2x2 − 8x

1. Express f(x) in the form a(x − h)2 + k. f(x) = −2x2 − 8x − 10 f(x) = 2.An object is projected vertically upward from the top of a building with an initial velocity of 112 ft/sec. Its distance s(t) … read more

F a Galois extension with G = Gal(E/F) = {σ1, ... , σn}

For E/F a Galois extension with G = Gal(E/F) = {σ1, ... , σn} one can define for α E two functions, T : E --> E and N : E --> E as follows: T(α) = σ1(α) + σ2(α) + ... + σn(α) N(α) = σ1(α) * σ2(α… read more

FOR MR. WHITE - LAST QUESTIONS! GRAPHS WILL NOT DISPLAY HERE. 3.

FOR MR. WHITE - LAST QUESTIONS! GRAPHS WILL NOT DISPLAY HERE. 3. Are the data consisting of classifications A,B,C and D qualitative or quantitative? A. Qualitative because they can only be classified … read more

Question 1 Find the average rate of change of the function

Question 1 Find the average rate of change of the function from x1 to x2. f(x) = 3x from x1 = 0 to x2 = 5 A. -4 B. 8 C. 2 D. 3 Question 2 Give the slope and y-intercept of each line whose equation is … read more

1-) Use differentiation rule b-) Find de the domain of f c-)Find

1-) Use differentiation rule b-) Find de the domain of f' c-)Find an equation of the tangent line to the graph of f at P. d-) Find the points on the graph a which the tangent line is horizontal. f(x)=… read more

Im looking for some help with some Discrete Mathematics problems.

I'm looking for some help with some Discrete Mathematics problems. Are you able to help me?… read more

1. Let R be the relation {(“ cd”, “ef”), (“ab”, “cd”), (“ab”,

1. Let R be the relation {(“ cd”, “ef”), (“ab”, “cd”), (“ab”, “ef”), (“cd”, “pq”)}. Let A be the set {“cd”, “rs”} . Which statement below is correct: a) R(A) = (“ef”, “pq”) b) R(A) = {“ef”, “pq”} c) R… read more

Question 2 Find the equation of the least-squares line y =

Question 2 Find the equation of the least-squares line y = mx + c through the four points: (3, 7), (6, 14), (12, 22) and (16, 38) and hence use the equation to determine the value of y when x = 67. Gi… read more

Would someone please help with some Calculus I questions showing wo

Would someone please help with some Calculus I questions showing work not just the answers? Thank you! I need them before tomorrow evening, 2/11/13.… read more

Question This question tests your understanding of linear

Question This question tests your understanding of linear transformations; in particular, it tests your ability to determine the matrix of a linear transformation with respect to given bases and to fi… read more

Find the derivatives of the following functions (do not simplify):

Find the derivatives of the following functions (do not simplify): a) f(x)=20x^11/5 - 13x^5/4- 4x^-7/2 b) g(x)= (3x^9 - 30x^4+2e^x)(x^7 - x+ 4x^-1) c) h(x) = 3x^10-x^13 ___________ 4+x^2 d) f(x)= 1n 5… read more

Find the derivatives of the following functions (do not

Find the derivatives of the following functions (do not simplify): a) f(x)=20x^11/5 - 13x^5/4- 4x^-7/2 b) g(x)= (3x^9 - 30x^4+2e^x)(x^7 - x+ 4x^-1) c) h(x) = 3x^10-x^13 ___________ 4+x^2 d) f(x)= 1n 5… read more

I am asking for Sandhya sharma, to help me with a few problems? 1).Given

I am asking for Sandhya sharma, to help me with a few problems? 1).Given the function f (x)=1x+5/, FIND EACH OF THE FOLLOWING f(10), f(-4), f(0) f(10)= 2). Given the function f described by f (z)=3z^+… read more

1. write down the derivative of each of the functions. f(x)=x^4

1. write down the derivative of each of the functions. f(x)=x^4 and g(x)=sin(5x) Hence by using the product rule, differentiate the function k(x)=x^4 sin(5x) 2. Write down the derivative of each of th… read more

This question uses the function f(x) = -2x^3 - 9x^2 + 24x +

This question uses the function f(x) = -2x^3 - 9x^2 + 24x + 40 Find the stationary points of this function B. Using the strategy to apply the first derivative test, classify the left hand stationary p… read more

Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts. Posts are for general information, are not intended to substitute for informed professional advice (medical, legal, veterinary, financial, etc.), or to establish a professional-client relationship. The site and services are provided "as is" with no warranty or representations by JustAnswer regarding the qualifications of Experts. To see what credentials have been verified by a third-party service, please click on the "Verified" symbol in some Experts' profiles. JustAnswer is not intended or designed for EMERGENCY questions which should be directed immediately by telephone or in-person to qualified professionals.

Ask-a-doc Web sites: If you've got a quick question, you can try to get an answer from sites that say they have various specialists on hand to give quick answers... Justanswer.com.

JustAnswer.com...has seen a spike since October in legal questions from readers about layoffs, unemployment and severance.

Web sites like justanswer.com/legal

...leave nothing to chance.

...leave nothing to chance.

Traffic on JustAnswer rose 14 percent...and had nearly 400,000 page views in 30 days...inquiries related to stress, high blood pressure, drinking and heart pain jumped 33 percent.

Tory Johnson, GMA Workplace Contributor, discusses work-from-home jobs, such as JustAnswer in which verified Experts answer people’s questions.

I will tell you that...the things you have to go through to be an Expert are quite rigorous.

Wonderful service, prompt, efficient, and accurate. Couldn't have asked for more. I cannot thank you enough for your help.

Freshfield, Liverpool, UK

This expert is wonderful. They truly know what they are talking about, and they actually care about you. They really helped put my nerves at ease. Thank you so much!!!!

Los Angeles, CA

Thank you for all your help. It is nice to know that this service is here for people like myself, who need answers fast and are not sure who to consult.

Hesperia, CA

I couldn't be more satisfied! This is the site I will always come to when I need a second opinion.

Kernersville, NC

Just let me say that this encounter has been entirely professional and most helpful. I liked that I could ask additional questions and get answered in a very short turn around.

Woodstock, NY

Thank you so much for taking your time and knowledge to support my concerns. Not only did you answer my questions, you even took it a step further with replying with more pertinent information I needed to know.

Elkton, Maryland

He answered my question promptly and gave me accurate, detailed information. If all of your experts are half as good, you have a great thing going here.

Dallas, TX

< Previous | Next >

Mr. Gregory White

Master's Degree

114 satisfied customers

M.A., M.S. Education / Educational Administration

SusanAthena

Master's Degree

102 satisfied customers

Tutor for Algebra, Geometry, Statistics. Explaining math in plain English.

Dr Arthur Rubin

Doctoral Degree

97 satisfied customers

Ph.D. in Mathematics, 1978, from the California Institute of Technology, over 20 published papers

JACUSTOMER-yrynbdjl-

Master's Degree

42 satisfied customers

I have a MS in Mathematics and I have taught Mathematics for 10 years at the college level.

Don

Master's Degree

29 satisfied customers

M.S. Astronautical Engineering. Math/Sci/Comp Tutor

Kofi

PhD in Statistics

7,345 satisfied customers

Masters in Mathematics and Statistics

Sandhya_sharma

Master's Degree

5,309 satisfied customers

I hold M.Sc and M.Phil degrees in math and have several years of teaching experience.

< Previous | Next >

Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts. Posts are for general information, are not intended to substitute for informed professional advice (medical, legal, veterinary, financial, etc.), or to establish a professional-client relationship. The site and services are provided "as is" with no warranty or representations by JustAnswer regarding the qualifications of Experts. To see what credentials have been verified by a third-party service, please click on the "Verified" symbol in some Experts' profiles. JustAnswer is not intended or designed for EMERGENCY questions which should be directed immediately by telephone or in-person to qualified professionals.