Answer:
(X,Y)
(2,2)
(4,3)
(7,4.5)
(9,5.5)
Explanation:
To match the input values with the output, substitute each value on the right into the equation.
1) x
![\displaystyle\begin{aligned} y & = ((x))/(2)+1 \\ \\ & = (x)/(2) + 1\end{aligned}](https://img.qammunity.org/2021/formulas/mathematics/college/o6r2slcr7zffbmgql5p3pb6ebke6jvlap3.png)
The equation remains the same. Hence, x maps onto y.
2) 2
![\displaystyle \begin{aligned} y &= ((2))/(2)+1 \\ \\ & = 2\end{aligned}](https://img.qammunity.org/2021/formulas/mathematics/college/suuoffp3oexgr58oq7c067h0rct9r9rv1o.png)
Therefore, map 2 with 2.
3) 4
![\displaystyle \begin{aligned} y& = ((4))/(2)+1 \\ \\ & = 3\end{aligned}](https://img.qammunity.org/2021/formulas/mathematics/college/hdfnxotruwzixvth7gf4vsqtj0cjifxye1.png)
Therefore, match 4 with 3.
4) 7
![\displaystyle \begin{aligned} y& = ((7))/(2)+1 \\ \\ & = 3.5 + 1 \\ \\ & = 4.5\end{aligned}](https://img.qammunity.org/2021/formulas/mathematics/college/9u073pnh8031tci24vgrsgl4fne1chv4vk.png)
Therefore, match 7 with 4.5.
5) 9
![\displaystyle \begin{aligned} y& = ((9))/(2)+1 \\ \\ & = 4.5 + 1 \\ \\ & = 5.5\end{aligned}](https://img.qammunity.org/2021/formulas/mathematics/college/oxhdzg3ctvwh7fdbjr3zxmmisc0ewb6bf8.png)
And finally, match 9 with 5.5.