PDF Archive

Easily share your PDF documents with your contacts, on the Web and Social Networks.

Share a file Manage my documents Convert Recover PDF Search Help Contact



DMSUnit6.pdf


Preview of PDF document dmsunit6.pdf

Page 1 2 34515

Text preview


DISCRETE MATHEMATICAL STRUCTURES

10CS34

Therefore, R is a function and S is not a function. Since the element 1has two images
band d, S is not a function.
Example: Let A = {1, 2, 3, 4} determine whether or not the following relations on A are

functions.
1. f= {(2, 3), (1, 4), (2, 1), (312), (4, 4)}
(S i n c e el e m en t 2 h as 2 i m ag es 3 an d 1 , f i s n o t a fu n ct i o n . )
2. g={(3,1),(4,2),(1,1)}
g is a function
3. h={(2,1),(3,4),(1,4),(2,1),(4,4)}
h is a function
4. Let A= {0, ±1, ±2, 3}. Consider the function F: A→ R, where R is the set of all real
numbers, defined by f(x) =x3 -2x2 +3x+1 for x� A. Find the range of f.
f (0) =1
f (1 ) = 1 -2 + 3 + 1 = 3
f (-1) =-1-2-3+1=-5
Page 65