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<p>it to mean what is now called the <a href="page.php?w=image_%28mathematics%29">image</a>. To avoid any confusion, a number of modern books don't use the word "range" at all.</p>

<p><big>Elaboration and example</big></p>
<p>Given a function</p>

<p>with <a href="page.php?w=domain_of_a_function">domain</a> , the range of , sometimes denoted  or , may refer to the codomain or target set  (i.e., the set into which all of the output of  is constrained to fall), or to , the image of the domain of  under  (i.e., the subset of  consisting of all actual outputs</p><p>
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