Consider the cubic polynomial .

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

Problem

Consider the cubic polynomial

g(x)=-3(x+1)^{3}+4

. (i) Find the

y

-intercept of the graph of

y=g(x)

. (ii) State the domain of

g

. (iii) Determine the range of

g

, giving a clear reason for your answer.