Let X = {a,b,c,d} ad Y = {p,q,r}. Deine an onto function from X to Y. Does there exist a one-one function from X to Y? If not, give reason.

Let x = (a,b,c) and Y = (0,1,2,3,4,5), define a one-one function from X to Y. does there exist an onto function form X to Y? If not, give reason.

Show that the function f : X -> Y, such that f(x)= 5x + 7 is one-one.

Show that the function f : NrarrN given by f (x) = 2x is one-one but not onto.

Show that the function f: N rarrN given by f(x)= 3x is one-one but not onto.

Show that the function f:N rarr N given by f(x) = 4x is one-one, but not onto.

Show that the function f:N rarr N given by f(x) = 5x is one-one but not onto.

Prove that the function f : RrarrR given by f (x) = 2x is one-one and onto.

Prove that the function f: R rarr R given by: f(x) = 2x is one-one and onto.