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 |
- Is $f$ one-to-one?
- Is $f$ onto?
- Is $f$ a correspondence?
- Is $g$ one-to-one?
- Is $g$ onto?
- Is $g$ a correspondence?
