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

Hello, dans chaque cas recris l expression sous la forme d un rappot reduit...

dans chaque cas recris l expression sous la forme d un rappot reduit 5kg/600g

The point which divides a gven line - segment externally, The point which d...

The point which divides a gven line - segment externally: Construction : i )Draw BX making an actue angle at B. ii) Starting from B mark three equal points on BX as sh

Determine the probability - probability example, Consider two bags, A and B...

Consider two bags, A and B, with the following contents Bag A Bag B 3 white marbles 4 white marbles 2 red marbles

Green function, greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t...

greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t,s)= {1-s for t or equal to s

Estimating sums, round to the nearest ten to estimate , 422+296

round to the nearest ten to estimate , 422+296

Probability, A card is chosen at random from a pack of playing cards.what i...

A card is chosen at random from a pack of playing cards.what is d probability that it is either a heart or the queen of spades

An amortization, Ahmad borrowed $450000.00 at 3% compounded semi-annually f...

Ahmad borrowed $450000.00 at 3% compounded semi-annually for ten years to buy an apartment. Equal payments are made at the end of every six months. a) Determine the size of the se

Reduce the rational expression to lowest terms, Reduce the following ration...

Reduce the following rational expression to lowest terms.                                     x 2 - 2 x - 8/ x 2 - 9 x + 20 Solution When reducing a rational expressio

first and third quartiles, From the data given below calculate the value o...

From the data given below calculate the value of first and third quartiles, second and ninth deciles and forty-fifth and fifty-seventh percentiles.

Add or subtract operations for complex numbers, performs the mentioned oper...

performs the mentioned operation and write the answers in standard form. ( -4 + 7 i ) + (5 -10 i ) Solution Actually there isn't much to do here other than add or subt

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