Pregunta
Find the range of the relation. Enter your solution in set notation (eg.
.
Ask by Stewart Bryant. in the United States
Mar 28,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The range is
.
Solución
-
Identify the ordered pairs in the relation:
-
Extract the second element (the output) from each ordered pair. These outputs are:
-
Write the range as a set of these outputs. In set notation, the range is:
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Como
error msg


Mind Expander
To find the range of the relation given by the set of ordered pairs, we need to look at the second elements (outputs) of each pair. The pairs are:
The second elements are:
,
,
,
, and
. To find the range, we collect all unique second elements:
Now, we can write the range in set notation:
Fun Fact: The concept of relations is foundational in mathematics, especially in defining functions, where each input relates to exactly one output.
In practical terms, understanding the range can help in various fields, like computer science, where developers need to comprehend what outputs to expect from a certain function based on its inputs, ensuring smoother coding and troubleshooting!
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