Let . If the average rate of change of on the interval equals for some , what is the…

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

Problem

Let

g(x)=x^{2}-x

. If the average rate of change of

g

on the interval

[1,b]

equals

3

for some

b>1

, what is the value of

b

? (a)

3

(b)

2

(c)

4

(d)

2+\sqrt{2}