1.1.A.1Concept
A function maps each input value to exactly one output value. The inputs form the domain and the outputs form the range. The input variable is independent and the output variable is dependent. Two functions are equal when they have the same domain and give the same output for every input in it.
ExampleFunction, domain, and range from a table1 / 4
The table relates x and y. Decide whether y is a function of x, then give the domain and range.
| x | 1 | 2 | 3 | 5 |
| y | 4 | 7 | 7 | 10 |
Try it on paper first, then reveal each step to check your work.
Step 1 — Check each input
List the inputs: 1, 2, 3, 5. Each one appears once, so each input has exactly one output.