Consider and for

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

Problem

Consider

f(x)=x^3

and

g(x)=7x^2

for

x>0

. On which interval does

f

increase faster than

g

? (a)

(7,\infty)

(b)

\left(\dfrac{14}{3},\infty\right)

(c)

\left(0,\dfrac{14}{3}\right)

(d) Only at

x=\dfrac{14}{3}