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Functions question

2003 · Shift 0 · Q67

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PYQ Library
JEE Main
Mathematics
Functions
2003 · Shift 0 · Q67

Functions question

2003 · Shift 0 · Q67

JEE MainMathematicsFunctionsMCQ+4 / −1

A function

f

from the set of natural numbers to integers defined by

f\left( n \right) = \left\{ {\begin{matrix} {{{n - 1} \over 2},\,when\,n\,is\,odd} \\ { - {n \over 2},\,when\,n\,is\,even} \\ \end{matrix} } \right.

is

A
neither one -one nor onto
B
one-one but not onto
C
onto but not one-one
D
one-one and onto both

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