FunctionHard
Question
If f: R → [ - 1, 1], where f (x) = sin 
, (where [.] denotes the greatest integer function), then
, (where [.] denotes the greatest integer function), thenOptions
A.f(x) is onto
B.f(x) is into
C.f(x) is periodic
D.f(x) is many one
Solution
f : R → [-1, 1]
f(x) = sin
Many - one function
into function
Also f(x + 4) = sin
= sin
= sin
= f(x) and hence periodic
f(x) = sin
Many - one function
into function
Also f(x + 4) = sin
= sin
= sin
= f(x) and hence periodic
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