Domain and Range of Linear Function
Domain of the linear function is the collection of all real numbers, and the range of a linear function is the collection of all numbers that are found by substituting the value of in the linear function.
The general form of the linear function is y = ax + b and if a ≠ 0 then the domain and range of the function is,
- Domain of Linear Function = R
- Range of Linear Function = R
Note: When the slope, m = 0, then the linear function f(x) = b is a horizontal line, and in this case,
- Domain = R
- Range = {b}
Linear Function
A linear function is a mathematical function that creates a straight line when graphed. It can be described by the formula: y = mx+b. A linear function in Algebra represents a straight line in the 2-D or 3-D cartesian plane. Hence this function is called a linear function. It is a function with variables and constant but no exponent value.
A linear function is represented as y = mx + c where y is the dependent variable and x is the independent variable. We know that for any function y = f(x) linear functions are also represented as, f(x) = mx + c
Let’s know more about Linear Function, Examples of Linear Function, equation and the graph of Linear function below.