# Describe Domain And Range

The domain of a function is the set of all possible inputs for the function and the range of a function is the set of all its outputs.

## Answer: A domain is ‘all the values’ that go into a function and the range of a function in algebra is the set of all its outputs.

Domain and range are described as follows.

**Explanation:**

A **domain **is ‘all the values’ that go into a function as an input. The domain of a function, f(x) = y, is the set of all the possible values of the independent variable x, for which y is defined.

The **range **of a function in algebra is the set of all its outputs.

On a function graph, the set of values towards the direction of the x-axis is the domain whereas, the set of values towards the direction of the y-axis that lies on the graph is termed as the range.

In a given ordered pair (x,y) the domain is defined as the set of all first elements of ordered pairs (x-coordinates) and the range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.

Let's take an example to understand domain and range.

The function y=a^{x}, a≥0 is defined for all real numbers.

Hence, the domain of the exponential function is the entire real line.

The exponential function always results in a positive value.

Thus, Domain = R, Range = (0,∞)

{R} signifies the set of real numbers.

**Example: 2 ^{x}**

**Domain**

The domain of the function is the set {R}

**Range**

The exponential function always results in positive real values.