Let be a real number and define

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

Problem

Let

p>0

be a real number and define

h(x)=\dfrac{x^{2}+p}{x}

. What is the average rate of change of

h

on the interval

[p,2p]

expressed in terms of

p

? (a)

\dfrac{p-\tfrac12}{2p}

(b)

1-\dfrac{1}{2p}

(c)

p-\dfrac{1}{2}

(d)

1-\dfrac{1}{p}