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

Solution to an initial value problem, S olve the subsequent IVP. dv/dt =...

S olve the subsequent IVP. dv/dt = 9.8 - 0.196v;               v(0) = 48 Solution To determine the solution to an Initial Value Problem we should first determine the gen

Quadratic equation, can anyone explain me the concept of quadratic equation...

can anyone explain me the concept of quadratic equation?

Determine the distance, Two planes leave the airport at the similar time. M...

Two planes leave the airport at the similar time. Minutes later, plane A is 70 miles due north of the airport and plane B is 168 miles due east of the airport. Determine the distan

Center of mass - applications of integrals, Center of Mass - Applications o...

Center of Mass - Applications of integrals In this part we are going to find out the center of mass or centroid of a thin plate along with uniform density ρ. The center of mass

Financial Math, can you help me with financial math??

can you help me with financial math??

Simplify the expression, Simplify the following expression and state the co...

Simplify the following expression and state the coefficient of each variables (a)6m-4-2m+15 (b)4x+6y-3x+5y

Abstract algebra, Let D(subscript12) = ({x,y : x^2 = e ; y^6 = e ; xy =(...

Let D(subscript12) = ({x,y : x^2 = e ; y^6 = e ; xy =(y^-1) x}) a) Which of the following subsets are subgroups of D(subscript12) ? Justify your answer. i) {x,y,xy,y^2,y^3,e}

Trigonometry, Ashow that sec^2x+cosec^2x cannot be less than 4

Ashow that sec^2x+cosec^2x cannot be less than 4

Triangles, what are rules of triangles?

what are rules of triangles?

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