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What Is the Domain and Range of a Function? The domain of a function is the set of input values, [latex]x[/latex], for which a function is defined. The domain is shown in the left oval in the picture below.
Domain and Range. LEARNING OBJECTIVES. By the end of this lesson, you will be able to: Find the domain of a function defined by an equation. Graph piecewise-defined functions.
This free step-by-step guide on how to find the domain and range of a graph will review key definitions, interval notation, and several examples of how to find domain and range of a graph expressed using interval notation.
Find the domain of a function defined by an equation. Write domain and range using standard notations.
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.
Given a set of ordered pairs (x, y), the domain is the set of all the x-values, and the range is the set of all the y-values. What is an example of finding the domain and range of a set of points? State the domain and range of the following relation.
Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in. They are the y values.