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Mathematics
Problem
Among the following functions, which one possesses the greatest minimum value? (i)
f
1
(
x
)
=
2
x
4
f_1(x)=2x^{4}
f
1
(
x
)
=
2
x
4
(ii)
f
2
(
x
)
=
−
3
x
4
f_2(x)=-3x^{4}
f
2
(
x
)
=
−
3
x
4
(iii)
f
3
(
x
)
=
x
3
f_3(x)=x^{3}
f
3
(
x
)
=
x
3
(iv)
f
4
(
x
)
=
−
x
5
f_4(x)=-x^{5}
f
4
(
x
)
=
−
x
5
a)
f
2
(
x
)
=
−
3
x
4
f_2(x)=-3x^{4}
f
2
(
x
)
=
−
3
x
4
b)
f
3
(
x
)
=
x
3
f_3(x)=x^{3}
f
3
(
x
)
=
x
3
c)
f
1
(
x
)
=
2
x
4
f_1(x)=2x^{4}
f
1
(
x
)
=
2
x
4
d)
f
4
(
x
)
=
−
x
5
f_4(x)=-x^{5}
f
4
(
x
)
=
−
x
5
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