Range: Difference between revisions

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(Created page with "The '''range''' of a function <math>f:A \to B</math> is the subset of <math>B</math> given as <math>\{ f(a) \mid a \in A \}</math>, i.e., the set of elements of <math>B</math>...")
 
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Examples:
Examples:
Given <math>f:A \to B</math> so that <math>f=x^2</math> in this case the range is a subset of <math>B</math> encompassing all its [[positive real numbers]].
Given <math>f:A \to B</math> so that for every <math>x\in A: f=x^2</math> in this case the range is a subset of <math>B</math> encompassing all its [[positive real numbers]].

Revision as of 14:17, 15 December 2019

The range of a function is the subset of given as , i.e., the set of elements of that arise as outputs of the function.

Examples: Given so that for every in this case the range is a subset of encompassing all its positive real numbers.