Consider the polynomial function f(x)=2−3x4.
a. (i) Find the domain of f.
b. (ii) Determine the range of f and express it (a) in set builder form, and (b) in interval notation.
c. (iii) Obtain the greatest value of the function and state the value of x at which it occurs.
d. (iv) Sketch the graph of y=f(x), clearly showing the intercepts and the turning point.