![]() Use the information below to generate a citation. ![]() Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, ![]() Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses the This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission. For example, as “the set of x-values such that 10 is less than or equal to x, x, and x x is less than 30.”įigure 5 compares inequality notation, set-builder notation, and interval notation. We can also use inequalities, or other statements that might define sets of values or data, to describe the behavior of the variable in set-builder notation. In the previous examples, we used inequalities and lists to describe the domain of functions. Using Notations to Specify Domain and Range As a more extreme example, a function’s inputs and outputs can be completely different categories (for example, names of weekdays as inputs and numbers as outputs, as on an attendance chart), in such cases the domain and range have no elements in common. For example, the function f ( x ) = − 1 x f ( x ) = − 1 x has the set of all positive real numbers as its domain but the set of all negative real numbers as its range. See Figure 3 for a summary of interval notation.Ĭan there be functions in which the domain and range do not intersect at all?
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