Question

The graph below belongs to which function family?

Answer 1

Answer:

D) on edge (absolute value)

Step-by-step explanation:

Answer 2

Answer:

The graph is of an absolute value function.

Step-by-step explanation:

For x ≥ 0, the graph is given by $\frac{x}{6} +\frac{y}{3}=1$

⇒ x + 2y = 6

⇒ $y = 3-\frac{x}{2}$

⇒$y-3=-\frac{x}{2}$ ........ (1)

Again, for x < 0, the graph is given by $\frac{x}{-6} +\frac{y}{3} =1$

⇒ - x + 2y = 6

⇒ $y = 3+\frac{x}{2}$

⇒ $y-3 = \frac{x}{2}$ ...... (2)

So, from equations (1) and (2) the function can be written as

$y-3 = - |\frac{x}{2} |$

Therefore, the graph is of an absolute value function. (Answer)