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
Create a free account to view solution
View Solution FreeMore Function Questions
If f : R → R, f(x) = x2 + 2x − 3 and g : R → R, g(x) = 3x − 4 , then the value of fog (x) is-...If function f : R → R+, f(x) = 2x , then f−1 (x) will be equal to-...For real values of x, range of function y = is -...Let f: → R be given by f(x) = (log(secx + tanx))3. Then...Range of f(x) = log√5 (√2(sin x - cos x) + 3) is...