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Mathematics
Problem
Determine whether the function
f
:
R
→
R
f: \mathbb R \to \mathbb R
f
:
R
→
R
given by
f
(
x
)
=
x
3
−
3
x
f(x)=x^{3}-3x
f
(
x
)
=
x
3
−
3
x
is injective. Justify your answer briefly.
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