Answer:
d.(-3,-2),(1,6) and (2,3)
Explanation:
We are given that the set of ordered pairs shown represents a function f
{(-5,3),(4,9),(3,-2),(0,6)}
We have to find that which three ordered pairs could be added to the set so that function remains same.
Function: It is mapping between elements of two sets A and B and every element of set A is uniquely mapped with each element of set B.
Or We can say that there is only one image of each element .
In the function
Image of -5 is 3 ,image of 4 is 9 ,image of 3 is -2 and image of 0 is 6.
a.(-3,-2),(4,0),(0,-1)
There is image of 0 is -1
It is not possible because two images of one element is not possible.
Hence, option a is false.
b.(1,6),(2,3) and (-5,9)
There is image of -5 is 9
Image of -5 is 3 in given function
Two images one elements is not possible .Hence, option b is false.
c.(4,0),(0,-1) and (-5,9)
It is false because image of 4 is 0 and image of -5 is 9 which is not possible.
Hence, option C is false.
d.(-3,-2),(1,6) and (2,3)
Image of -3 is -2
Image of 1 is 6
Image of 2 is 3
It is true because every element have different image and function remain same.
Therefore, option D is true.