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Question
State whether the following relations are functions or not. If it is a function check for one-to-oneness and ontoness. If it is not a function, state why?
If X = {x, y, z} and f = {(x, y), (x, z), (z, x)}; (f : X → X)
Solution
X = {x, y, z}
f = {(x, y), (x, z), (z, x)} f : X → X
The relation f : X → X is not a function since the element x in the domain has two images in the co-domain.
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