Determine the range of given algorithm, Mathematics

Assignment Help:

The division algorithm says that when a is divided by b, a unique quotient and remainder is obtained. For a fixed integer b where b ≥ 2, consider the function f : Z → Z given by f(a) = r where r is the unique remainder obtained when a is divided by b.

(a) What is the range of f? Based on your answer, is f onto?

(b) Determine whether f a 1-1 function.

 


Related Discussions:- Determine the range of given algorithm

How many ways can dvds be arranged on a shelf, How many ways can 4 DVDs be ...

How many ways can 4 DVDs be arranged on a shelf? Solution: There are 4 ways to choose the first DVD, 3 ways to choose the second, 2 ways to choose the third and 1 way to choo

Trignometry, whta are the formulas needed for proving in trignometry .

whta are the formulas needed for proving in trignometry .

Arithmetic mean, When three quantities are in A.P., then the middle...

When three quantities are in A.P., then the middle one is said to be the arithmetic  mean of the other two. That is, if a, b and c are in A.P., then b is th

Algebra 2 Appendix F, I have an algebra assignment I need help with, you ha...

I have an algebra assignment I need help with, you have helped me before.. I need the work shown.

One-to-one correspondence in learning maths, How does your answer to this q...

How does your answer to this question compare with mine, which follows? i) To begin with, 1 laid the beads out in a row for counting, so that I wouldn't leave any out or count a

Solving whole number riddles, What is the answer for I am greater than 30 a...

What is the answer for I am greater than 30 and less than 40. The sum of my digits is less than 5.

Shares and divident, A man invest ?13500 partly in shares paying 6% at ?140...

A man invest ?13500 partly in shares paying 6% at ?140 and partly in 5% at 125.If he is tolal income is 560, how much has he invested in each?

Find the sum of first 40 positive integers, Find the sum of first 40 positi...

Find the sum of first 40 positive integers divisible by 6 also find the sum of first 20 positive integers divisible by 5 or 6. Ans:          No's which are divisible by 6 are

Correlation and regression, Correlation and Regression Correlation ...

Correlation and Regression Correlation CORRELATION is an important statistical concept which refers to association or interrelationship among variables. The reasons of

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd