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Mathematics
Problem
Let
f
:
R
→
R
f:\mathbb{R}\to\mathbb{R}
f
:
R
→
R
be defined by
f
(
x
)
=
x
3
+
3
k
x
f(x)=x^{3}+3k x
f
(
x
)
=
x
3
+
3
k
x
, where
k
k
k
is an integer. For which smallest positive integer
k
k
k
is
f
f
f
one-one on
R
\mathbb{R}
R
? a)
k
=
−
1
k=-1
k
=
−
1
b)
k
=
0
k=0
k
=
0
c)
k
=
1
k=1
k
=
1
d)
k
=
2
k=2
k
=
2
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