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Let $X$ be the set $\{1, 2, 3, 4, 5\}$ and $Y$ be the set $\{6, 7, 8, 9, 10\}$. We describe the functions $f : X\rightarrow Y$ and $g : X\rightarrow Y$ in the following tables. Answer each part and give a reason for each negative answer.

 $n$ $f(n)$ 1 6 2 7 3 6 4 7 5 6

 $n$ $g(n)$ 1 10 2 9 3 8 4 7 5 6

1. Is $f$ one-to-one?
2. Is $f$ onto?
3. Is $f$ a correspondence?
4. Is $g$ one-to-one?
5. Is $g$ onto?
6. Is $g$ a correspondence?

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