Answer:
The domain of the function f(x) is:

The range of the function f(x) is:

Step-by-step explanation:
Given the function

Determining the domain:
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
- Domain refers to all the possible sets of input values on the x-axis.
It is clear that the function has undefined points nor domain constraints.
Thus, the domain of the function f(x) is:

Determining the range:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
- Range refers to all the possible sets of output values on the y-axis.
We know that the range of an Absolute function is of the form


so
Thus, the range of the function f(x) is:

we know that 1 gallon = 4 quarts so...
17 gallons of root beer + 12 gallons of punch = 29 gallons in total
29 gallons ÷ 4 = 7.25 quarts
so she needs 7 bottles of quarts for her 29 total gallons.
A and D
should be the answers.