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Consider the following relation:{(1, 3), (2, 4), (3, 6), (4, 8), (5, 10)}The above relation is a function with a domain and codomain specified as follows:Domain: {1, 2, 3, 4, 5} Codomain: {3, 4, 5, 6, 7, 8, 9, 10}.Question 12Select one:TrueFalse

Question

Consider the following relation:{(1, 3), (2, 4), (3, 6), (4, 8), (5, 10)}The above relation is a function with a domain and codomain specified as follows:Domain: {1, 2, 3, 4, 5} Codomain: {3, 4, 5, 6, 7, 8, 9, 10}.Question 12Select one:TrueFalse

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Solution

True. The given relation is indeed a function. In a function, every element in the domain is associated with exactly one element in the codomain. Here, each element in the domain {1, 2, 3, 4, 5} is paired with exactly one element in the codomain {3, 4, 5, 6, 7, 8, 9, 10}. Therefore, the statement is true.

Similar Questions

Consider the following relation R defined by the equation:R = {(x, y) | y = 2x + 1}The above relation is a function with a domain and codomain specified as follows:Domain: {1, 2, 3, 4, 5}Codomain: {3, 5, 7, 9, 12}

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Given the sets of ordered pairs, determine if they represent a relation or a function. If it is a function,specify the domain and range. (Criteria A)a) {(1,2),(2,3),(1,5),(4,6)}{(1,2),(2,3),(1,5),(4,6)}b) {(3,4),(2,7),(5,2),(3,1)}{(3,4),(2,7),(5,2),(3,1)}c) {(2,3),(5,6),(2,7),(8,1)}{(2,3),(5,6),(2,7),(8,1)}d) {(1,3),(2,5),(3,7),(4,9)}{(1,3),(2,5),(3,7),(4,9)}

Determine whether the relation is a function. Explain. {(6,−1),(−4,2),(5,2),(4,6),(6,5)}6,-1,-4,2,5,2,4,6,6,5 Multiple choice question.A)Yes; for each element of the domain, there is only one element of the range.B)Yes; for each element of the range, there is only one element of the domain.C)No; the element 6 in the domain is paired with both –1 and 5 in the range.D)No; the elements 5 and 6 are in both the domain and the range.

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