A family of functions is defined by for real numbers

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

Problem

A family of functions is defined by

h_k(x)=\dfrac{4x^{2}+k}{x^{2}}

for real numbers

k

. For one particular value of

k

, the table gives values of

h_k(x)

x	10	20	50
h_k(x)	4.06	4.015	4.002

Based on the data, which value of

k

is most consistent with the table? (a)

k=5

(b)

k=6

(c)

k=3

(d)

k=0