# How to find domain and range of a function equation

## Determining the Domain and Range for Quadratic Functions

? Finding the Domain of a Function - Made Easy! ?

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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. 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. Usually we have to avoid 0 on the bottom of a fraction, or negative values under the square root sign.

In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0. We can write the domain and range in interval notation , which uses values within brackets to describe a set of numbers.

In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0. We can write the domain and range in interval notation , which uses values within brackets to describe a set of numbers.

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. Practice: Range of quadratic functions.

Given a situation that can be modeled by a quadratic function or the graph of a quadratic function, determine the domain and range of the function. A 6 Quadratic functions and equations. The student applies the mathematical process standards when using properties of quadratic functions to write and represent in multiple ways, with and without technology, quadratic equations. The student is expected to:. How do you determine the domain and range of a quadratic function when given a verbal statement?

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:.

## Domain and Range of a Function

Finding Domain and Range. - This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness. Together, they cited information from 11 references.

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## Domain and range of quadratic functions

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