The following table shows the average total cost, measured as dollars expended per pupil, of operating a high school with the given enrollment. This table is based on a study of economies of scale in high school operations from the 1960s.
Enrollment
170 250 450 650
Average total cost 528 473
425 411
What is the average growth rate of the average cost per additional student enrolled, when moving from an
enrollment of 450 students to an enrollment of 650 students?
The average growth rate per students added is
cents less
expensive

In mathematics, the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall. It is the set X in the notation f: X → Y, and is alternatively denoted as {\displaystyle \operatorname {dom} }.

Step-by-step explanation:

Formula

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

Absolute value

As the domain of absolute value refers to the set of all possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range of absolute value is the set of possible output values, which are shown on the y-axis.

Notation

We can write the domain of f(x) in set builder notation as, {x | x ≥ 0}. If the domain of a function is all real numbers (i.e. there are no restrictions on x), you can simply state the domain as, 'all real numbers,' or use the symbol to represent all real numbers.

Rules

If a function contains a square root, set the equation inside the square root greater or equal to zero and solve. The resulting answer is the domain. If a function contains a fraction, set the denominator not equal to zero and solve. The resulting answer is the domain.