Question

What is the domain indicated on the graph for each portion of the piecewise function?

Answer 1

Dude its

-10<x<0

0<x<4

4<x<8

Answer 2

Explanation:

You missed to add the graph. I possibly found and attached the complete graph question below.

From the attached graph,

Given the portion of piecewise function

`f(x) = -2`

has the domain
`-10<x<0`.

In other words, the graph of this portion is showing discontinuty or hole occurs at x = 0 and x = -10. Therefore, It does not include x = 0 and x = -10.

• A discontinuity occurs when a gap or hole appears in the graph.

Similarly, the portion of piecewise function

`y = 2x+1`

has the domain
`0<x<4`.

As the graph of this portion is showing discontinuty or hole occurs at x = 0 and x = -4. Therefore, the domain does not include x = 0 and x = -4.

And the 3rd the portion of piecewise function

`f\left(x\right)=-(1)/(2)x`

has the domain
`4<x<8`.

As the graph of this portion is showing discontinuty or hole occurs at x = 4 and x = 8. Therefore, the domain does not include x = 4 and x = 8.