Let `f: X rarr Y` be a function defined by f(x) = a sin ( x +`pi/4`) + c. If f is both one-one and onto, then find the set X and Y

If a function f: A to B is both one-one and onto then f is called a____.

Let f be a function f:N→N be defined by f(x)=5x-3 , Find the image of 3,4,5 .

Show that the function f: R toR. defined as f (x) =x ^(2), is neither one-one nor onto.

Let a function f be defined by f(x)=(x-|x|)/x for x ne 0 and f(0)=2. Then f is

Let a function f be defined by f (x) =[x-|x|]/x for xne 0 and f(0)=2 .Then f is :

Show that f:Nto N, given by f (x) = x + 1 , if x is odd, f (x) = x -1, if x is even is both one-one and onto.

Let the function f: RrarrR be defined by f(x)=2x+sinx for x in Rdot Then f is (a)one-to-one and onto (b)one-to-one but not onto (c)onto but not-one-to-one (d)neither one-to-one nor onto