## What is Constant Function and What is Linear Function: Introduction

## FAQs on Difference Between Constant Function and Linear Function for JEE Main 2025

1. How can a linear function be represented mathematically?

A linear function can be represented by the equation f(x) = mx + b, where 'm' represents the slope of the line and 'b' represents the y-intercept.

2. What are the domain and range of a linear function?

The domain of a linear function is typically the set of all real numbers, as there are no restrictions on the input values unless the domain of the given function is defined. The range consists of all possible output values, which can span from negative infinity to positive infinity.

3. What is the Y-intercept of an equation?

The y-intercept is the point where the line intersects the vertical axis (y-axis). It corresponds to the value of 'f(x)' when 'x' is equal to zero. In the equation form of the linear function, 'b' represents the y-intercept.

4. Is a constant function invertible?

No. A constant function is not invertible, meaning there is no inverse function that can map the constant value back to different inputs.

5. What is the rate of change of a constant function?

A constant function has a constant rate of change of zero because the output remains the same for any change in the input.