# domain and range of a linear function

The domain and range are concepts used in mathematics, particularly in the study of functions, to describe the sets of input and output values, respectively.

The domain and range of a linear function can be determined based on its equation or graph.

**Domain of a Linear Function:**- The domain of a linear function is the set of all possible input values (x-values) for which the function is defined.
- Since a linear function continues indefinitely in both directions along the x-axis, its domain is all real numbers unless there are specific restrictions mentioned in the context of the problem.

**Range of a Linear Function:**- The range of a linear function is the set of all possible output values (y-values) that the function can produce.
- For a linear function in the form y = mx + b, where m represents the slope and b represents the y-intercept, the range is also all real numbers, as the function extends infinitely along the y-axis.

In summary, the domain of a linear function is all real numbers, and the range of a linear function is also all real numbers. This is true for most linear functions unless there are specific restrictions or conditions mentioned that limit the domain or range.