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Which of the following is not a function?(a) {(1,2), (2,4), (3,6)}(b) {(-1,1), (-2,4), (2,4)}(c) {(1,2), (1,4), (2,5), (3,8)}(d) {(1,1), (2,2), (3,3)}I got this question in final exam.Origin of the question is Functions topic in portion Relations and Functions of Mathematics – Class 11 |
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Answer» CORRECT answer is (c) {(1,2), (1,4), (2,5), (3,8)} The explanation: A RELATION from a set A to a set B is said to be a function if every element of set A has ONE and one image in set B. In {(1,2), (1,4), (2,5), (3,8)}, SINCE element 1 has two images 2 and 4 which is not possible in a function so, it is not a function. Rest all have one and only one image so they can be called a function. |
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