# How to determine domain and range of a graph

## Domain and Range: Graphs Domain and Range of Relations from a Graph

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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. The domain is all the x -values, and the range is all the y -values.

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.

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? We're going to explore different representations of quadratic functions, including graphs, verbal descriptions, and tables. We'll determine the domain and range of the quadratic function with these representations.

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.
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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. 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. So, the range of the function is the set of real numbers except 0. To find the excluded value in the domain of the function, equate the denominator to zero and solve for x.

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. 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. See Figure 6. Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range. Figure 9.

## Determining the Domain and Range for Quadratic Functions

All of the values that can go into a relation or function input are called the domain. All of the values that come out of a relation or function output are called the range., Easy to understand math lessons on DVD. Try before you commit.

## Worked example: domain and range from graph

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?

## Functions: Domain and Range

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Given the graph of a function, determine its domain or range.
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1. Chad B. says: