Question
Find the range of the relation. Enter your solution in set notation (eg.
.
Ask by Stewart Bryant. in the United States
Mar 28,2025
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Answer
The range is
.
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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!