Answer the following questions related to polynomial and rational functions.
MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions
Problem
Answer the following questions related to polynomial and rational functions.
(i) Define a polynomial function and a rational function.
(ii) State one key distinction between the domains of a polynomial function and a rational function.
(iii) Classify each of the following as a polynomial function or a rational function, giving a brief reason for each answer:
(a) g(x)=5x3−4x+7
(b) h(x)=32x2+1
(c) p(x)=x−1x2−1
(d) q(x)=x2+1x2+3x+2