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For each relation decide whether or not it’s a function(this is one problem I do an online math program with this is considered one problem)

For each relation decide whether or not it’s a function(this is one problem I do an-example-1
User Vladislav Bauer
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1 Answer

28 votes
28 votes

Answer: According to the definition, the function is a relationship between two sets of numbers that matches numbers from one set to another:

Diagram for the Illustration:

Do note! That the single input can not have two outputs.

Therefore the answer is:


\begin{gathered} \text{ Relation \lparen1\rparen}\rightarrow\text{ Not a Function} \\ \\ \text{Relat}\imaginaryI\text{on}\operatorname{\lparen}\text{2}\operatorname{\rparen}\operatorname{\rightarrow}\text{Funct}\imaginaryI\text{on} \\ \\ \text{Relat}\imaginaryI\text{on}\operatorname{\lparen}\text{2}\operatorname{\rparen}\operatorname{\rightarrow}\text{ Not a Funct}\imaginaryI\text{on} \\ \\ \text{Relat}\imaginaryI\text{on}\operatorname{\lparen}\text{2}\operatorname{\rparen}\operatorname{\rightarrow}\text{ Not a Funct}\imaginaryI\text{on} \end{gathered}
\begin{gathered} \text{ Relation \lparen1\rparen}\rightarrow\text{ Not a Function} \\ \\ \text{Relat}\imaginaryI\text{on}\operatorname{\lparen}\text{2}\operatorname{\rparen}\operatorname{\rightarrow}\text{Funct}\imaginaryI\text{on} \\ \\ \text{Relat}\imaginaryI\text{on3}\operatorname{\rparen}\operatorname{\rightarrow}\text{ Funct}\imaginaryI\text{on} \\ \\ \text{Relat}\imaginaryI\text{on\lparen4}\operatorname{\rparen}\operatorname{\rightarrow}\text{ Not a Funct}\imaginaryI\text{on} \end{gathered}

Or the relation(2) and (3) are functions, and the rest are not functions.

For each relation decide whether or not it’s a function(this is one problem I do an-example-1
User Angelik
by
3.1k points
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