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

In terms of x what is the area of her garden, Laura has a rectangular garde...

Laura has a rectangular garden whose width is x 3 and whose length is x4. In terms of x, what is the area of her garden? Since the area of a rectangle is A = length times widt

LASPEYRES AND PAASCHE, advantages and disadvantages of laspeyres and paasch...

advantages and disadvantages of laspeyres and paasche

One-to-one correspondence to developing pre-number concepts, One-to-one Cor...

One-to-one Correspondence :  Suppose you are given a certain number of cups and saucers, and are asked to find out whether there are enough saucers for all the cups. How would you

What is the probability that the card is a queen, Five cards - the ten, jac...

Five cards - the ten, jack, queen, king and ace, are well shuffled with their face downwards. One card is then picked up at random. (i)  What is the probability that the card is

Fundamentals of math, When there are 4 dots how many chords are they

When there are 4 dots how many chords are they

How far is balloon from the shore, Steve Fossett is going the shores of Aus...

Steve Fossett is going the shores of Australia on the ?rst successful solo hot air balloon ride around the world. His balloon, the Bud Light Spirit of Freedom, is being escorted

Find the straight distance between a and b, There is a staircase as shown i...

There is a staircase as shown in figure connecting points A and B. Measurements of steps are marked in the figure. Find the straight distance between A and B. (Ans:10) A ns

Math, i really ned help wiv quartiles plz help

i really ned help wiv quartiles plz help

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