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# Understanding Functions in Mathematics

Created by
@SmoothestSandDune

## Questions and Answers

Domain

### How is the value of a function f at an element x of its domain denoted?

$f(x)$

Function

### How is the value at 4 of the function that maps x to $(x + 1)^2$ denoted?

<p>$(x + 1)^2 |_{x=4}$</p> Signup and view all the answers

### What greatly enlarged the domains of application of the concept of a function at the end of the 19th century?

<p>Formalization in terms of set theory</p> Signup and view all the answers

### In the context of sets, what does the term 'cardinality' refer to?

<p>The number of elements in a set</p> Signup and view all the answers

### What is the range of a function?

<p>The set of all possible output values of the function</p> Signup and view all the answers

### In the context of relations, what does it mean if a relation is symmetric?

<p>If (a, b) is in the relation, then (b, a) is also in the relation</p> Signup and view all the answers

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