Show that a one – one function f : 1, 2, 3 1, 2, 3 must be onto. - Vidyadip

Question

Show that a one – one function f : {1, 2, 3} $\to$ {1, 2, 3} must be onto.

✓

Answer

Since f is one – one three element of {1, 2, 3} must be taken to 3 different element of the co – domain {1, 2, 3} under f. Hence, f has to be onto.

{by definition ONTO FUNCTION- every element of co-domain have a pre-image in domain}

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