# How to find domain and range

## How do I find the domain of a function?

Functions assign outputs to inputs. The domain of a function is

**the set of all possible inputs for the function**. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.## How do you find domain and range examples?

Consider the relation {(0,7),(0,8),(1,7),(1,8),(1,9),(2,10)} . Here, the relation is given as a set of ordered pairs. The domain is the set of x -coordinates, {0,1,2} , and

**the range is the set of y -coordinates**, {7,8,9,10} .## How do you find the range of the domain is given?

## What are the steps to find the domain and range of a function?

**Overall, the steps for algebraically finding the range of a function are:**

- Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
- Find the domain of g(y), and this will be the range of f(x). …
- If you can’t seem to solve for x, then try graphing the function to find the range.

## What is domain and range in a table?

Functions can be defined using words, symbols, graphs, tables, or sets of ordered pairs, but in each case the parts are the same. The domain is the input, the independent value—it’s what goes into a function.

**The range is the output, the dependent value—it’s what comes out**.## What is domain on a graph?

The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function. When looking at a graph, the domain is

**all the values of the graph from left to right**. The range is all the values of the graph from down to up.## What is the first step to finding the domain of a function?

Determine the type of function you’re working with.

To calculate the domain of the function, you **must first evaluate the terms within the equation**. Examples of functions with fractions include: f(x) = (^{1}/_{x}), f(x) = ^{(}^{x} ^{+} ^{1}^{)}/_{(}_{x} _{–} _{1}_{)}, etc.