Question

Suppose A = © 0,1,2,3,4 ª , B = © 2,3,4,5 ª and f = © (0,3),(1,3),(2,4),(3,2),(4,2)ª . State the domain and range of f . Find f (2) and f (1)

Answer 1

Domain of f:A

Range:{2,3,4}

f(2)=4 and f(1)=3

Explanation:

We are given that

A={0,1,2,3,4}

B={2,3,4,5}

f={(0,3),(1,3),(2,4),(3,2),(4,2)}

We have to find the domain and range of f and the value of f(2) and f(1).

Function: It is a mapping between two non- empty sets A and B.

Domain of f:A

Range: The set of values of B corresponding to the values of A

By definition of domain

Domain of f:{0,1,2,3,4}

Range of f:{2,3,4}

When x=2 then corresponding value of 2

f(2)=4

When x=1 then corresponding value of 1

f(1)=3