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Let X={1,2,3} and Y={4,5}.Find whether the following subsets of X x Y are functions from X to Y or not.$(ii)\quad g=\{(1,4),(2,4),(3,4)\} $

Note: This is part 2 of a 4 part question, split as 4 separate questions here.

1 Answer

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  • The given set of ordered pair subset of $x \times y$ function if same element $a \in x$ is not mapped on to two different elements of y
  • The subset of $x \times $ is a function if it defines a mapping for each element of x an element of y
$g=\{(1,4),(2,4),(3,4)\}$
Since every element of X is mapped to an elements in Y, g is a function
answered Mar 13, 2013 by sreemathi.v
edited Mar 30, 2013 by balaji.thirumalai
 

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