Need help with problems 3 and 4.

Consider the function f(m)==w3+-m2+-m41 , defined on all of R.. 1. Show this function is onetoone. Show your work. (Hint, after you differentiate, you need decide what the sign is of some parabola...) 2. Find flj and.(f'UTl) . 3. Find 14(0) and (f'1)'(0) . 4. What is the domain and range of the function g(m)=va34m2+-w41 ? (Hint: Use the information you gathered from the previous parts of this problem to help you, without using technology, what would a graph of f look like...)