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determine whether the relation is a function. give the domain and range…

Question

determine whether the relation is a function. give the domain and range for the relation. {(1, 8), (1, 9), (1, 10)} the domain of the relation is (use a comma to separate answers as needed.)

Explanation:

Step1: Recall domain definition

Domain is set of all first elements in ordered pairs.

Step2: Identify first elements

In pairs \((1, 8)\), \((1, 9)\), \((1, 10)\), first element is \(1\) (repeated, but domain has unique elements).

Answer:

(Domain):
\(\{1\}\)

(For function check: A relation is a function if each domain element has exactly one range element. Here, \(1\) maps to \(8\), \(9\), \(10\) – so not a function. Range is \(\{8, 9, 10\}\), but the question first asks for domain which is \(\{1\}\).)