Question
Proof By exhibiting a counterexample: $-1$ is not equal to $f(x)$ for any $x \in \mathbb{R}$.$f(x)=x^{3}-3 x$
Step 1
Assume that $x$ and $y$ are two different real numbers such that $f(x) = f(y)$. This implies that $x^{3} - 3x = y^{3} - 3y$. Show more…
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