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
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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