Pregunta
Question 1
10 pts
1
Is the following relation a function?
Stbmit Question a?
No
Question 2
Yes
10 pts
1
No
Question 2
Yes
Ask by Rogers Little. in the United States
Mar 28,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The relation is not a function because the input
has two different outputs.
Solución
Step 1: Examine the given set of ordered pairs:
Step 2: Recall that a relation is a function if every input is associated with exactly one output.
Step 3: Identify the inputs:
- The input
appears in two pairs: and . - The inputs
and each appear only once and thus are not problematic.
Step 4: Since the input
has two different outputs (7 and 6), the relation does not assign a unique output to the input
.
Conclusion: The relation is not a function.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


Beyond the Answer
Let’s break it down! A relation is a function if each input has exactly one output. In your relation
, the input
corresponds to both
and
. This means that
has two outputs, so it’s a no-go for being a function!
For some fun, did you know the concept of functions dates back to the early days of mathematics? The word “function” comes from the Latin “functio,” which means “performance” or “execution.” Mathematicians like René Descartes and Leonhard Euler helped formalize these concepts, which play a vital role in calculus and beyond.

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