Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

For each of the functions below, indicate whether the function is onto, one-to-one, neither or both. If the function is not onto or not

 

For each of the functions below, indicate whether the function is onto, one-to-one, neither or both. If the function is not onto or not one- to-one, give an example showing why. (a) f: RR. f(x) = x (b) g: R R. g(x) = x (c) h: ZZ.h(x) = x (d) f: Z Z. f(x) = -4 (e) f: ZZ. f(x) = 5x - 4 (f) f:ZZ f(x) = x - 4 (9) f: ZxzZ+ZxZ, f(x, y) = (x+1, 2y) (h) f: ZxZ+ZxZ, f (x, y) = ([5] , v ) (1) f: ZxZ+ZxZ. f(x,y) = (1,5-2) () f: Zxz ZxZ, f(x, y) = (1-y, 1-x) (k) f: Z+xZ+ Zt. f(x, y) = 2 + y.

Step by Step Solution

3.43 Rating (153 Votes )

There are 3 Steps involved in it

Step: 1

a Not onto not onetoone Explanation The function fx x2 is not onto because for any negative value of ... blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Discrete and Combinatorial Mathematics An Applied Introduction

Authors: Ralph P. Grimaldi

5th edition

201726343, 978-0201726343

More Books

Students also viewed these Mathematics questions