Relations and Functions , Ex - 2.1 Basics

Which of the following relations are functions ? y=3x+2.

Let A = {1, 2, 3}. Which of the following relations is a function from A to A ?

Which of the following relation are functions? Give reasons. In cane of a function, determine its domain and range. {(1,0),(1,-1),(2,3),(4,10)}

Which of the following relation are functions? Give reasons. In cane of a function, determine its domain and range. {(1,-2),(3,7),(4,-6),(8,11)}

If P=(a,b,c) and Q=(1,2) , then the total number of relations P to Q are not functions is

A function f given as f:{(2,7),(3,4),(7,9),(-1,6),(0,2),(5,3)} . Is this function one-one onto? Interchange the order of the elements in the ordered pairs and form the new relation. Is this relation a function? If it is a function, is it one-one onto.

State for each of the following relations whether it is function or not. (Write Yes or No) {(1,2),(2,2),(3,2),(4,2)}

Let R={(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation the set A= {1, 2, 3, 4} . The relation R is (a). a function (b). reflexive (c). not symmetric (d). transitive

The organs which perform different functions but have the same basic structure are known as :

Differentiate each function by applying the basic rules of differentiation ((t^(2)+1)/(t^(2)-1))