Real Functions: Constant Functions
An constant function is a function that always returns the same constant value. In other words, the constant function is the function f(x) = c.
An example of data for the constant function expressed in tabular form is presented below:
| x | −999 | −10 | 0 | π | 5 | 100 | 9999 |
| f (x) | c | c | c | c | c | c | c |
An graphical example of the constant function f(x) = 5 is depicted below:
As visible above, the graph of the identity function consists of a horizontal line. Any point of the identity function may be written as (x, c) since f(x) = c.