Question

The graph below belongs to which function family?

(picture below)



linear quadratic cubic absolute value

Answer 1

D) on edge (absolute value)

Explanation:

Answer 2

The graph is of an absolute value function.

Explanation:

For x ≥ 0, the graph is given by
`(x)/(6) +(y)/(3)=1`

⇒ x + 2y = 6

⇒
`y = 3-(x)/(2)`

⇒
`y-3=-(x)/(2)` ........ (1)

Again, for x < 0, the graph is given by
`(x)/(-6) +(y)/(3) =1`

⇒ - x + 2y = 6

⇒
`y = 3+(x)/(2)`

⇒
`y-3 = (x)/(2)` ...... (2)

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

`y-3 = - |(x)/(2) |`

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