sawasrealze com/dashboard/classes/f5ddb35f101245b5as7/ab45823062a2/detalla/assignmenta/b586102e25546040310cd40a67a4e2b/reviww/conten. ALOLBRAI-RICHARD-02 DUE 3-4: MathXL for School: Mixod Roviow Feb 4-11:59 pm Lan It the domain of a relation is all whole numbers between 2.5 and 75 , and the range contains 6 diflerent values, can you determine whether the relation is a function? Explain your reasoning Choose the correct answer below A. Thi domain tias as many values as the range, so each domain value maps to orly one range value. The relation is a function B. The domain has as many values as the range, but if carnot be determined whether the relation is a function wth only the given information C. The domain has more values than the range, so at least one range value is mapped to ty more than one domain value. The relation is not a function D. The domain has lewer values than the range, so there must be a domain value which maps to more than one range value. The relation is not a function
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To determine whether the relation is a function, remember that a function assigns exactly one output (range value) for each input (domain value). In this case, with your domain of all whole numbers between 2.5 and 75 (which includes quite a few values) and a range of only 6 different values, it's impossible for each number in the extensive domain to map to a unique number in the limited range without some values sharing outputs. This means at least one range value is paired with multiple domain values! As such, the answer is C. The domain has more values than the range, so at least one range value is mapped to by more than one domain value. The relation is not a function. This conclusion showcases the essence of functions and their one-to-one relationship!
