First slide

Functions (XII)

Question

$f : N \to N,$ where $f (x) = x - {(- 1)}^{n} .$ Then f is

Moderate

A

one-one and into
B

many-one and into
C

one-one and onto
D

many-one and onto

Solution

$f (x) = \{\begin{cases} x - 1, n is even \\ x + 1, n is odd \end{cases}$ ,both cases function is linear. which is clearly one-one and onto.

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