Question
Determine whether the relation is a function. c=((7,5),(-3,-4),(1,-1),(4,-7)) Is the relation a function? No Yes
Answer
4.4
(219 Votes)
Baxter
Professional · Tutor for 6 years
Answer
Yes
Explanation
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).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.