Answer:
The graph is of an absolute value function.
Step-by-step explanation:
For x ≥ 0, the graph is given by [tex]\frac{x}{6} +\frac{y}{3}=1[/tex]
⇒ x + 2y = 6
⇒ [tex]y = 3-\frac{x}{2}[/tex]
⇒[tex]y-3=-\frac{x}{2}[/tex] ........ (1)
Again, for x < 0, the graph is given by [tex]\frac{x}{-6} +\frac{y}{3} =1[/tex]
⇒ - x + 2y = 6
⇒ [tex]y = 3+\frac{x}{2}[/tex]
⇒ [tex]y-3 = \frac{x}{2}[/tex] ...... (2)
So, from equations (1) and (2) the function can be written as
[tex]y-3 = - |\frac{x}{2} |[/tex]
Therefore, the graph is of an absolute value function. (Answer)
Answer:
D) on edge (absolute value)
Step-by-step explanation:
