Consider the polynomial function .

MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Consider the polynomial function

f(x)=2-3x^{4}

. (i) Find the domain of

f

. (ii) Determine the range of

f

and express it (a) in set builder form, and (b) in interval notation. (iii) Obtain the greatest value of the function and state the value of

x

at which it occurs. (iv) Sketch the graph of

y=f(x)

, clearly showing the intercepts and the turning point.