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

Draw a common graph ( x - 2)2 /9+4(y + 2)2 =1, Graph     ( x - 2) 2 /9+4...

Graph     ( x - 2) 2 /9+4(y + 2) 2  = 1 Solution It is an ellipse. The standard form of the ellipse is                                                         ( x - h

Concurrent deviation method, Normal 0 false false false ...

Normal 0 false false false EN-IN X-NONE X-NONE

What is the volume of the water required to fill the pool, A circular pool ...

A circular pool is filling along with water. Supposing the water level will be 4 ft deep and the diameter is 20 ft, what is the volume of the water required to fill the pool? (π =

Two circles touch internally, Two circles touch internally at a point P and...

Two circles touch internally at a point P and from a point T on the common tangent at P, tangent segments TQ and TR are drawn to the two circles. Prove that TQ = TR. Given:

Viscosity measure, get the viscosity of particle to apply the stoke''s law

get the viscosity of particle to apply the stoke''s law

Modeling with first order differential equations, We here move to one of th...

We here move to one of the major applications of differential equations both into this class and in general. Modeling is the process of writing a differential equation to explain a

Sum of a number of terms in g.p., We know that the terms in G.P. are:...

We know that the terms in G.P. are: a, ar, ar 2 , ar 3 , ar 4 , ................, ar n-1 Let s be the sum of these terms, then s = a + ar + ar 2

Geometry, two sides of an equilateral triangle have lengths 3x-1 and 3x-1. ...

two sides of an equilateral triangle have lengths 3x-1 and 3x-1. Which of 27-x or 2x-4 could be the length of the third side?

Find the middle term of the arithmetic progressions, Find the middle term o...

Find the middle term of the AP 1, 8, 15....505. A ns:    Middle terms a + (n-1)d = 505 a + (n-1)7 = 505 n - 1 = 504/7 n = 73 ∴ 37th term is middle term a 37

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