1) Let F be the function fromRtoRdefined by f(x)=x^2. Find:

a) f^(-1) ({1})

b) f^(-1) ({x | 0 < x < 1})

c) f^(-1) ({x | x > 4})

2) Give an example of a function fromNtoNthat is

a) one-to-one but not onto.

b) onto but not one-to-one.

c) both onto and one-to-one (but different from the identity function).

d) neither one-to-one nor onto.

Thank You very much in advance.

Anu