Answer:
given by f(x)
= [x]
Injectivity
: Let x1 = 2.5 and x2 = 2 be two elementsof R.
f(x1)
= f(2.5) = [2.5] = 2
f(x2)
= f(2) = [2] = 2
f(x1)
= f(x2) for
is not
one-one.
Surjectivity
: Let y = 2.5
be
any element
f(x) = 2.5
which
is not possible as [x] is always an integer.
is not onto.
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