Pergunta

Is the relation below a function or not a function? 2 & 2 3 & 1 4 & 5 5 & 6 Answer Allempt i out of 3 Function Not a Function
Solução

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SolangeProfissional · Tutor por 6 anos
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### Function
Explicação
## Step 1: Understanding the Definition of a Function
### A relation is considered a function if each input (or domain value) corresponds to exactly one output (or range value). In other words, no two different pairs should have the same first element with different second elements.
## Step 2: Analyzing the Given Relation
### The given table represents a set of ordered pairs:
## Step 3: Checking for Repeated Inputs
### In the provided pairs, each first element (2, 3, 4, 5) is unique. There are no repeated inputs with different outputs.
## Step 4: Conclusion
### Since each input corresponds to exactly one output, the relation satisfies the definition of a function.
### A relation is considered a function if each input (or domain value) corresponds to exactly one output (or range value). In other words, no two different pairs should have the same first element with different second elements.
## Step 2: Analyzing the Given Relation
### The given table represents a set of ordered pairs:
,
,
, and
. We need to check if any first element (input) is repeated with a different second element (output).
## Step 3: Checking for Repeated Inputs
### In the provided pairs, each first element (2, 3, 4, 5) is unique. There are no repeated inputs with different outputs.
## Step 4: Conclusion
### Since each input corresponds to exactly one output, the relation satisfies the definition of a function.
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