MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions
Problem
Consider the polynomial function f(x)=2x4−3x2+5.
(i) Without performing any substitution, explain whether f(x) is even, odd, or neither on the basis of the powers of x appearing in it.
(ii) Verify your conclusion in part (i) by directly computing f(−x) and comparing it with f(x). State the result clearly.