The domain is the set of all possible input or blank values of a relation

Option D is correct.

The only partial representations of the given information are the table and the graph.

This is because, on their own, they do not provide the corresponding value of y for every given x.

Step-by-step explanation:

Complete Question

Four representations of the same data are shown below.

- Verbal Description

Shay pays a $4 monthly fee in addition to the data and minutes charges on her cell phone bill, x.

- Equation

y = x + 4

- Table

- Graph

Cell Phone Bill

Which two representations are considered to be only partial representations?

A) the equation and the verbal description

B) the verbal description and the graph

C) the table and the equation

D) the graph and the table

Solution

A complete representation would give the total amount Stay pays in a month, given the number of minutes. There would be no domain of x (minutes charges on her phone) where there is a solution, that the complete representation wouldnt give the corresponding y (total amount of money she would pay.

Taking each of the representations one at a time.

- Verbal Description

The verbal description alone explains the subject matter to us in details. With the explanation from the verbal description, the value of y is always just there to obtain.

- Equation

y = x + 4

The equation too, alone, will give the value of y for every given value of x. So, it is also a complete representation of the subject matter all on Its own.

- Table

Although, the values of the table aren't all presented above, but it is evident that the table, no matter how long, can only give the corresponding values of y given x, to an extent. A table, on its own, would not give all the values of y, for every value of x, one can think of. Unless one of the other methods of representation has already been given, the table alone is a partial representation of the subject matter.

- Graph

Just like the table is absent Too, the graph too cannot be attached, to avoid question deletion due to violating community guidelines. But the graph Too, on its own just shows a straight line graph of y and x, over a limited range of values. It stops after that and on its own, the graph wouldn't be able to outrightly represent the subject matter as we don't know if the relationship is linear forever, or not, from just seeing a graph of y against x over a very limited range.

Hence, it is evident that the table and the graph represent partial representations of the subject matter because, on their own, they do not provide the corresponding value of y for every given x.

Hope this Helps!!!