Final answer:
The domain of each portion of the piecewise function indicates the x-values over which each part is defined. For the first piece, the domains given are for intervals (-9, 0), for the second piece, domains are for (0, 4), and for the third piece, domains are for (4, 8).
Step-by-step explanation:
In Mathematics, particularly when dealing with piecewise functions on a coordinate plane, the domain of each piece of the function refers to the set of all input values (x-values) over which the function is defined. In this case, each portion of the piecewise function is defined for a specific interval of x-values.
For the first piece, if f(x) = -2 is a horizontal line, the domain represents the x-values over which this constant line exists. According to (B), for the line f(x) = 2x + 1, its domain from the interval (-9, 0) suggests that it is defined from just left of x=-9 to just before x=0, likely indicating an open interval where -9 and 0 are not included.
Similarly, for the second piece, the provided domains for f(x) = -2 and f(x) = 2x + 1 within the interval (0, 4) imply that these lines or functions are defined from just after x=0 to just before x=4.
The third piece follows the same premise, whereby the functions f(x) = -2 and f(x) = 2x + 1 have domains in the interval (4, 8), meaning they apply from just after x=4 to just before x=8.