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content/sets-functions-relations/functions/function-basics.tex
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\begin{ex}
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Multiplication is a function because it pairs each input---each pair
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of natural numbers---with a single output: $\times \colon \Nat^2 \to
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-\Nat$. By contrast, the square root operation applied to the domain
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-$\Nat$ is not functional, since each positive integer $n$ has two
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-square roots: $\sqrt{n}$ and $-\sqrt{n}$. We can make it functional by
+\Nat$. By contrast, mapping a natural number~$n$ to a real~$x$ such
+that $x^2 = n$ is not functional, since each positive integer~$n$ has two
+square roots: $\sqrt{n}$ and~$-\sqrt{n}$. We can make it functional by
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only returning the positive square root: $\sqrt{\phantom{X}} \colon
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\Nat \to \Real$.
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\end{ex}
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