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Chapter 2: Problem 10

Determine whether each relation is a function. Give the domain and range for each relation. $$ \\{(4,1),(5,1),(6,1)\\} $$

Short Answer

Expert verified
Yes, the given relation is a function. The domain is \{4,5,6\} and the range is \{1\}.

Step by step solution

01

Determine if the relation is a function

Examine the ordered pairs (4,1),(5,1),(6,1). Notice that each x-value (4,5,6) is different, so it's clear that every x-value maps to exactly one y-value. Therefore, this relation is a function.
02

Find the domain

The domain of a function or relation is simply the set of all x-values. In this case, the domain is \{4,5,6\}.
03

Find the range

The range of a function or relation is the set of all y-values. In this case, since each ordered pair has the same y-value of 1, the range is \{1\}.

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