Let g = {(1, 2), (2, 5), (3, 8), (4, 10), (5, 12), (6, 12)}. Is g a function? If yes, its domain range. If no, give reason.

Given:

g = {(1, 2), (2, 5), (3, 8), (4, 10), (5, 12), (6, 12)}


We know that,


A function ‘f’ from set A to set B is a correspondence (rule) which associates elements of set A to elements of set B such that:


(i) all elements of set A are associated with an element in set B.


(ii) an element of set A is associated with a unique element in set B



Here, we observe that each element of the given set has appeared as the first component in one and only one ordered pair in ‘g.’ So, g is a function in the given set.


Dom (g) = 1, 2, 3, 4, 5, 6


Range (g) = 2, 5, 8, 10, 12


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