Determine whether the following relations are functions or not.
A. {(1,2),(2,5),(3,10),(4,17)}
B. {(1,2),(2,3),(2,0),(3,5)}
A. {(1,2),(2,5),(3,10),(4,17)}
B. {(1,2),(2,3),(2,0),(3,5)}
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SOLUTIONS
A. Each element in the domain, {1, 2, 3, 4} is assigned no more than one value in the range; 1 is assigned only to 2; 2 is assigned only to 5; 3 is assigned only to 10 and 4 is assigned only to 17. Therefore it is a function.
B. Since the domain element 2 is assigned to two different values in the range, 3 and 0, it is not a function.
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