Linear parent function
A linear parent function is the equation y = x or f(x) = x. A parent function is the simplest equation of a function. Thus, f(x) = x is the simplest of all linear functions and that is the reason why it is called linear parent function.
You can make a table of values to graph this function. See the table below.
| x | y = x |
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| -1 | -1 |
| -2 | -2 |
| -3 | -3 |
Here is the graph for this function.
We only show 7 points. However, the graph has infinitely many points.
Therefore, the domain is the set of real numbers and the range is the set of real numbers.
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