A polynomial has a graph that is symmetric about the origin and tends to as

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

A polynomial

k(x)

has a graph that is symmetric about the origin and tends to

-\infty

x\to\infty

. Answer the following: (a) Is the degree of

k(x)

even or odd? (b) Is the leading coefficient positive or negative?