constant function


Definition of Constant Function

  • Constant Function is a linear function of the form y = b, where b is a constant.
  • It is also written as f(x) = b.
  • The graph of a Constant Function is a horizontal line. 

Examples of Constant Function

  • y = 10, y = - 3, y = 11 are some examples of constant functions.
  • The graph shows a constant function y = 12.
  • The value of the y is 12 for any x.

Solved Example on Constant Function

Which one of the following equations represents a constant function?
Choices:
A. x = 3
B. 2x + y = 4
C. y = 6
D. 2y + x = 12
Correct Answer: C
Solution:
Step 1: A constant function is of the form y = b, where b is a constant.
Step 2: So, here, only y = 6 represents a constant function.

Related Terms for Constant Function

  • Constant
  • Linear Function
  • Function