Answer:
The graph is of an absolute value function.
Explanation:
For x ≥ 0, the graph is given by
![(x)/(6) +(y)/(3)=1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r4mlnyo35ev3xzgydw3xeb6fkn6k2866he.png)
⇒ x + 2y = 6
⇒
![y = 3-(x)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/j0ndv2wf9c4um3gb54eeypi3p3uf9pqw45.png)
⇒
........ (1)
Again, for x < 0, the graph is given by
![(x)/(-6) +(y)/(3) =1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ag23cplefxx69zbzaavjzvf9ap3dk6z2u0.png)
⇒ - x + 2y = 6
⇒
![y = 3+(x)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uvio0eakly23qwqt81hrq6legi2twazb3z.png)
⇒
...... (2)
So, from equations (1) and (2) the function can be written as
Therefore, the graph is of an absolute value function. (Answer)