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Mathematics
Problem
A family of functions is defined by
h
k
(
x
)
=
4
x
2
+
k
x
2
h_k(x)=\dfrac{4x^{2}+k}{x^{2}}
h
k
(
x
)
=
x
2
4
x
2
+
k
for real numbers
k
k
k
. For one particular value of
k
k
k
, the table gives values of
h
k
(
x
)
h_k(x)
h
k
(
x
)
.
x
10
20
50
h_k(x)
4.06
4.015
4.002
Based on the data, which value of
k
k
k
is most consistent with the table? a)
k
=
5
k=5
k
=
5
b)
k
=
6
k=6
k
=
6
c)
k
=
3
k=3
k
=
3
d)
k
=
0
k=0
k
=
0
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