Answer the following with respect to symmetry of polynomial functions:
MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions
Problem
Answer the following with respect to symmetry of polynomial functions:
(i) Define an even function and illustrate your definition with one explicit polynomial of degree 4.
(ii) Define an odd function and illustrate your definition with one explicit polynomial of degree 3.
(iii) State the geometrical symmetry shown by the graphs of even and odd functions respectively.