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Binary Relations and Functions

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Check your understanding about binary relation and function

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Binary Relations and Functions
 

Binary Relations and FunctionsOnline version

Check your understanding about binary relation and function

by Eduard Escote
1

Every function is a binary relation.

2

Every binary relation is a function.

3

A function can have more than one output for a single input.

4

The relation R={(1,2),(2,3),(3,4)} is a function.

5

If a relation is symmetric and transitive, then it must be reflexive.

6

The relation “is equal to” on the set of real numbers is an equivalence relation.

7

If f(x)=x, then f is a function from R to R.

8

The relation R={(1,1),(2,2),(3,3),(1,2)} is reflexive on the set {1,2,3}.

9

A function must assign a unique output to each input in its domain.

10

The vertical line test can be used to determine if a relation is a function.

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