Answer:
Set A and B only
Step-by-step explanation:
We are given that
A={(1,3),(-1,5),(6,4)}
B={(2,0),(4,6),(-4,5),(0,0)}
C={(1,1),(0,2),(0,3),(0,4),(-3,5)}
We are given that sets A, B and C represent the relations .
We have to choose the set of relations that correctly represents a function
Function: It a mapping between two sets A and B. Every element of set A has unique image in set B.More than one image of an element cannot be possible or an element cannot have more than one image.Two elements or more than two elements have same image.
In set A, each element is related with unique element.
Image of 1=3
Image of -1=5
Image of 6=4
Therefore, A represents a function.
In set B, Every element is related to a unique element.
Image of 2=0
Image of 4=6
Image of -4=5
Image of 0=0
Hence, B represents a function .
In set C
Image of 1=1
Image of 0=2
Image of 0=3
Image of 0=4
Image of -3=5
By definition of function, each element have only one image.
But 0 have more than one image.
Therefore, C does not represents function.
Set A and B only represents a function
