Consider the two polynomial functions f(x)=x2−4 and g(x)=x3−4. Answer the following questions about them:
a. (i) State the domain of each function and give a brief reason for your answer.
b. (ii) Identify the type of symmetry (even, odd or neither) shown by each function. Justify your answer algebraically.
c. (iii) Compare the ranges of f and g. Explain why one range is bounded below while the other is not.
d. (iv) Find all x-intercepts of each graph and comment on the maximum number of such intercepts expected from the degree of the polynomial.