Constant Function

A Constant Function is a function that is equal to a constant.

• Context:
  • It can be defined as [math]\displaystyle{ f(x)= c }[/math] (where [math]\displaystyle{ x }[/math] is a variable, [math]\displaystyle{ c }[/math] is constant) for all values of [math]\displaystyle{ x }[/math].
• Example(s):
  • a straight Line.
  • a Point.
• Counter-Example(s):
  • Trigonometric Function.
  • [math]\displaystyle{ f(x)= x }[/math] (where [math]\displaystyle{ x }[/math] is a variable))
• See: Trigonometric Function, Sine Function, Cosine Function, Periodic Function.

---

---

References

2015

• (Wikipedia, 2015) ⇒ http://wikipedia.org/wiki/Constant_function
  • QUOTE: In mathematics, a constant function is a function whose (output) value is the same for every input value.

1999

• (Wolfram Mathworld , 1999) ⇒ http://mathworld.wolfram.com/ConstantFunction.html
  • QUOTE: A function [math]\displaystyle{ f(x)=c }[/math] which does not change as its parameters vary. The function graph of a one-dimensional constant function is a straight line.

---