# Find the domain and range of a function algebraically

- Finding the Range of a Function, Algebraically
- Functions: Domain and Range
- Domain and Range of Rational Functions

## Finding the Range of a Function, Algebraically

To find these x values to be excluded from the domain of a rational function, One way of finding the range of a rational function is by finding the domain of the .

andEasy to understand math lessons on DVD. Try before you commit. The domain of a function is the complete set of possible values of the independent variable. The domain is the set of all possible x -values which will make the function "work", and will output real y -values. This will make the number under the square root positive. In general, we determine the domain of each function by looking for those values of the independent variable usually x which we are allowed to use.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Algebra all content Functions Determining the range of a function Algebra 2 level. Domain and range of quadratic functions. Range of quadratic functions.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Algebra I Functions Introduction to the domain and range of a function. Intervals and interval notation. What is the domain of a function? What is the range of a function? Worked example: domain and range from graph.

Functions v. When functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. These won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. Domain and Range. The above list of points, being a relationship between certain x 's and certain y 's, is a relation. The domain is all the x -values, and the range is all the y -values. To give the domain and the range, I just list the values without duplication:.

We use first party cookies on our website to enhance your browsing experience, and third party cookies to provide advertising that may be of interest to you. You can accept or reject cookies on our website by clicking one of the buttons below. To understand more about how we and our advertising partners use cookies or to change your preference and browser settings, please see our Global Privacy Policy. OK, so suppose we don't have the graph of a function to look at like in the last section So, we'll just be doing domains on these -- which is really where the action is anyway.

## Functions: Domain and Range

Domain & Range of a Function

## Domain and Range of Rational Functions

To do this, we can think of it this way:. We can try and motivate how to find this with an example. 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. Below, we can list a few common functions and the ranges they have. This will help you find the range of more complicated functions without having to do all the steps above. In fact, this range holds for any base for the log.

Finding Domain and Range. Learning Objective s. Functions are a correspondence between two sets, called the domain and the range. When defining a function, you usually state what kind of numbers the domain x and range f x values can be. There may be restrictions on the domain and range. The restrictions partly depend on the type of function.

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The domain of a rational function consists of all the real numbers x except those for which the denominator is 0.

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How to find the range of a function (video) | Khan Academy