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.