SOLUTION: Determine whether or not a constant function can be a. One to one b. An onto function

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Question 1177280: Determine whether or not a constant function can be
a. One to one
b. An onto function

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Generally a constant function , can be one-to-one since for different values of we have the same value of , namely .
Similarly, it can not be as other than no element in co-domain will have pre-image in domain.
But yes there be a case in which there is only in co-domain then in this scenario we can say that function is .
Thus, in general a constant function can neither be onto nor one-one.

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