Two functions and are to be drawn on the same set of axes for

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Two functions

f(x)=x^2

and

g(x)=x^3

are to be drawn on the same set of axes for

-2 \le x \le 2

. Which of the following statements about their points of intersection within this window is correct? (a) They intersect at

x=1

only. (b) They intersect at

x=0

and

x=1

only. (c) They intersect at

x=-1

and

x=1

only. (d) They intersect only at the origin.