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Determine whether the relation is a function. c=((7,5),(-3,-4),(1,-1),(4,-7)) Is the relation a function? No Yes

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Determine whether the relation is a function. c=((7,5),(-3,-4),(1,-1),(4,-7)) Is the relation a function? No Yes

Determine whether the relation is a function. c=((7,5),(-3,-4),(1,-1),(4,-7)) Is the relation a function? No Yes

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BaxterProfessional · Tutor for 6 years

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<p> Yes</p>

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<p> In mathematics, specifically in set theory, a relation is a collection of ordered pairs. A function is a special type of relation where every input (also referred to as domain) is matched with exactly one output (also referred to as range).<br /><br />In the given relation, \(c=\{(7,5),(-3,-4),(1,-1),(4,-7)\}\), the first element of each pair constitutes an input and the second element constitutes an output. The inputs are {7, -3, 1, 4} with each associated with unique outputs {5, -4, -1, -7} respectively, which is the key property of a function. Therefore, we can see that the given relation is a function.</p>
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