F, R and S represents the valid functions for the given data set.
What is function?
" A function is defined as for the given relation of variables for each input value there should be one and only output."
According to the question,
For the following data set,
F = { (-4 ,-1), (2,3), (4,6), (8, 7) , (11, 13)}
For each input value there is unique output value .
Therefore, F is a function.
R = { (-3,-1) , (3,2), (4,5), (8, 7) , (10, 16)}
For each input value there is unique output value .
Therefore, R is a function.
S = { (-3,-2) , (3,1), (4,6), (-3, -2) , (13, 11)}
For each input value there is unique output value .
Therefore, S is a function.
G = { (-1,-5) , (1,2), (1,5), (9, 8) , (15, 16)}
For input value 1 there are two output values 2 and 5.
Therefore, G is not a function.
Hence we conclude F, R and S are functions for the given data set.
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