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, among the equations listed, only y = 6 represents a constant function.

Related Terms for Constant Function

• Constant
• Linear Function
• Function

Additional Links for Constant Function

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