# Find the domain and range of a function algebraically

- What is the range of a function?
- Finding the Range of a Function, Algebraically
- Domain and Range of Rational Functions
- Domain and range of quadratic functions

## What is the range of a function?

Domain and range of a function - Functions and their graphs - Algebra II - Khan Academy

andIf 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?

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.

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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.

## Finding the Range of a Function, Algebraically

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## Domain and Range of Rational Functions

The domain of a rational function consists of all the real numbers x except those for which the denominator is 0. To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x. One way of finding the range of a rational function is by finding the domain of the inverse function. The graph approaches x -axis as x tends to positive or negative infinity, but never touches the x -axis. That is, the function can take all the real values except 0.

## Domain and range of quadratic functions

Easy 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.

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.

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Finding Domain and Range

Asymptotes of a rational function: