Discrete Mathematics Assignment - II

Discrete Mathematics	AY 2018-19
Assignment –II	Date of submission:  11/08/2018

Q1. Let R be a symmetric relation. Show that Rⁿ is symmetric for all positive integers n.

Q2. Let R be the relation on the set of all urls such that xRy iff the web page at x is the same as the web page at y. show that R is an equivalence relation.

Q3. Let R be reflexive relation on set A. Show that R Í  R²

Q4. Determine whether each of these functions is a bijection from R to R

i.                   f(x)= 2x+1

ii.                 f(x)= x²+1

iii.              f(x)= x³