Prove that the function `f : N-{1} rarr N, f(n)=` the highest prime factor of n is neither one-one nor onto.

Show that the function f : N' rarr Z, f(x)=100-x^2 is not bijective.

Give an example of a function which is neither one - one nor onto

Prove that the function f:N rarr N defined by f(x)=x^2+2 is one-one but not onto.

Let A={9,10,11,12,13} and let f:A rarr N be defined by f(x)=the highest prime factor of n.Find the range of f.

Show that the function f : R rarr R , defined by f(x)=|x| is neither one-one nor onto.

Show that the function f : R rarr R , defined by {(-1,x 0):} is neither one-one nor onto.

Show that the function f(x)=3x+2 is one-one and onto.

Show that the function f : N rarr N defined by f(n){((n+1)/2 if n is odd),(n/2 if n is even):} is onto but not one-one.

Show that the function f : R rarr R defined by f(x)=[x] , where [x] is the greatest integer less than equal to x is neither one-one nor onto.

Given a function f= {(x, y):y is the smallest prime factor of x} over N, find the range of f if its domain is{12, 13, 14, 15, 16, 17}