bookSHelf
Integrated Math 1
Which inputs is a function allowed to take?
Section 1.4 · Functions
Integrated Math 1 · Section 1.4

A rule will accept almost any number you hand it.
The situation it models will not.

One graph, and two questions we do not have names for yet.

The class names them the allowed inputs
the resulting outputs
Definition 1.4.1 Domain — the set of all possible input values.
Definition 1.4.2 Range — the set of all resulting output values.
The move Sweep across, then up — then ask what the situation allows. 0 ≤ t ≤ 35  ·  10 ≤ h ≤ 75
0 ≤ t ≤ 35every input the graph reaches — the domain
10 ≤ h ≤ 75every output it produces — the range
The rule says what is possible.
The situation says what is allowed.
Domain and range · Integrated Math 1 §1.4