Question: Let f be a ceiling function from R Z where f(x) =[2x] . Note that R is the set of real numbers and Z is

Let f be a ceiling function from R Z where f(x) =[2x] . Note that R is the set of real numbers and Z is the set of integers. Show that (1) function f is onto. (2) function f is not one-to-one.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

The questions below are taken from texts other than your textbooks. Some are easy, some are more difficult, but in any case, trying to solve them is an excellent practice. There are quite a few...

QUESTION 18 a. Determine whether f is a bijection function. Briefly explain. f: ZR, f(x) = 3 3x.(R, Z set of real numbers and integers respectively) b. Redefine the domain and/or codomain of the...

6. Let A = {x E Z |x 2 5a + 2 for some integer a}, B = {y E Z | y = 10!) 3 for some integer b}, and C = {z E Z | z = 106 + 7 for some integer C}. Prove or disprove each of the following statements....

In this question assume that p and q are atomic formulae. (a) Compare and contrast path formulae and state formulae in temporal logic. [4 marks] (b) Describe and contrast the meanings of F(G p) and...

10 Green's functions for PDEs In this final chapter we will apply the idea of Green's functions to PDEs, enabling us to solve the wave equation, diffusion equation and Laplace equation in unbounded...

Planning Demand and Supply in a Supply Chain Capacity Planning and Assignment 1 utdallas.edu/~metin Outline Capacity Planning Product-to-plant Assignment utdallas.edu/~metin 2 Deterministic Capacity...

Least Squares Approximation Hector D. Ceniceros 1 Least Squares Approximation Let f be a continuous function on [a, b]. We would like to find the best approximation to f by a polynomial of degree at...

need help with the following questions: Problem 1) Let A = {x, y, z} and B = {p, r}. How many functions are there from A to B? Problem 2) Let f : (R R +) R be a function given as f(x, y) = |2x| 3y...

Please Solve This Question 1. If f : G - G' is a homomorphism then show that f (G) = (f (a) | a E G} is a subgroup of G'. We also write f(G) = Imf (Image f). Show further that if H is normal in G...

. Prove the Triangle Inequality, (styl |/=] - lull Long Problems . Using truth tables, show that p q = pAd. . Show - he N is odd if a todd. - fe N is even if n is even. Using these facts, show that...

Give an example of a function f: A B and A1, A2 A for which f(A1 A2) f(A1) (A2). [Thus the inclusion in Theorem 5.2(b) may be proper.]

You are the accounting representative on a project team to streamline business processes for your company. The team leader has asked you to prepare a short email for the team that outlines the steps...

You are paying 6 % on your fixed - rate mortgage You are paying 6 % on your fixed - rate mortgage

CT Corp Comprehensive Question Canadian Tire Corporation, Limited ( Canadian Tire ) is a family of companies that includes a retail segment and a financial services division, among others. The retail...

Explain basic guidelines for effective multicultural communication.

Identify communication barriers and describe ways to remove them.

Explain the communication process.