Table of Contents

## What is the range of a function and how do you find it?

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 a range in math graphs?

The range is the set of possible output values, which are shown on the y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.

**How do you find the range and domain of a function without a graph?**

To find domain of a function, f(x), find for what values of x, f(x) will be undefined/not real. To find range, the general method is to find x in terms of f(x) and then find values of f(x) for which x is not defined.

### How do you identify the domain and range of a function?

Find domain and range from graphs. Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

### How do you determine the range of a function?

Finding the Range of a Function of a Relation Write down the relation. List the y-coordinates of the relation. Remove any duplicate coordinates so that you only have one of each y-coordinate. Write the range of the relation in ascending order. Make sure that the relation is a function.

**How do you find the domain of a function?**

Finding the Domain of a Function Using a Relation Write down the relation. A relation is just a set of x and y coordinates. Write down the x coordinates. They are: 1, 2, 5. State the domain. D = {1, 2, 5} Make sure the relation is a function.

#### What is domain and range algebra?

The domain and range of a function is all the possible values of the independent variable, x, for which y is defined. The range of a function is all the possible values of the dependent variable y. The example below shows two different ways that a function can be represented: as a function table, and as a set of coordinates.