CONSTANT FUNCTION

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.

Video Examples: Constant functions

Solved Example on Constant Function

Ques: 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.

Quick Summary

A constant function always returns the same value, regardless of the input.
The graph of a constant function is a horizontal line.

\[ f(x) = b \]

🍎 Teacher Insights

Emphasize that constant functions do not change with input. Use real-world examples to demonstrate this concept.

🎓 Prerequisites

Check Your Knowledge

Q1: Which of the following equations represents a constant function?

x = 3 2x + y = 4 y = 6 2y + x = 12

Frequently Asked Questions

Q: What does the graph of a constant function look like?
A: The graph of a constant function is a horizontal line.

Q: Can a constant function equal 0?
A: Yes, a constant function can equal 0. For example, y = 0 is a constant function.