Range: Difference between revisions

Latest revision as of 14:19, 15 December 2019

The range of a function $f : A \to B$ is the subset of $B$ given as ${f (a) ∣ a \in A}$ , i.e., the set of elements of $B$ that arise as outputs of the function.

Examples:

Given $f : A \to B$ so that for every $x \in A : f = x^{2}$ in this case the range is a subset of $B$ encompassing all its positive real numbers including $0$ .

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	* 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]].		* 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]] including <math>0</math>.