Answers

The Brainliest Answer!
2014-10-18T20:26:19+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
I assume we are talking about relation between x and y : a relation on  R --> R 
y = f(x) is a function or not.

a)   y = f (x ) = -15
         This is a many to one function.  It is a constant function. Each value of x 
∈ R (real numbers) maps to -15.   Domain is R and Range is { -15 }.

b)   x  = 5   relation could be   = { ( 5, 1), (5, 0) , (5, 9999), (5, -098) }
      Here y can be any value.  It means one value of x is mapping onto multiple values of y or F.  It is not a function, in the strict sense of a function.
       Some times it is referred to as a multi-valued function.

c)   Relation = { (1, 0 ) , (1, 4 ) ,  (-1, 1 ) } 
 
          Here x =1 is mapping to 0 and 4.  So it is not a function.      

d)   Relation = {  ( 6, 3), (5, -2 ) , (2, 3 ) } 

                 Here each value of x has a unique and one value of y.  So it is a function with domain = { 6, 5, 2 } and  range = { 3, -2 }


1 5 1