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.

Graph of linear parent 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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