Respuesta :

Option D is correct.

Piecewise function

is a function that is defined on a sequence of intervals and built from the piece of different functions. It is one that is defined not by a single equation, but by the two or more each equation is valid for some interval.

Given

f(x) = x +1, is a function.

To find

The domain for the piece of the function.

How to get the domain for the piece of the function?

From the graph, we can clearly see that at x = 1, there is a jump of 1 unit in y. hence it is divided into two parts.

For x > 1 the domain is defined up to .

For x ≤ 1 the domain is defined up to -∞.

Thus the option D is correct.

More about the piecewise function link is given below.

https://brainly.com/question/17966003