# Prove multivariable function is surjectiveThe function is f:NN^2 \tightarrow NN

Prove multivariable function is surjective
The function is $$\displaystyle{f}:\mathbb{N}^{{2}}\rightarrow\mathbb{N}$$ such that $$\displaystyle{f{{\left({a},{b}\right)}}}={a}^{{b}}$$

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Jordan Mitchell
Take b=1 and a arbitrary. That shows any a in $$\displaystyle\mathbb{N}$$ is hit by your function.
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Matthew Rodriguez
You mean ''surjective'' not ''subjective''

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