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

To determine whether the relation is a function based on the given information, let's analyze the conditions provided: 1. **Domain**: All whole numbers between 2.5 and 75. 2. **Range**: Contains 6 different values. ### Step-by-Step Analysis 1. **Understanding the Domain**: - The domain consists of whole numbers, which means we can only consider integers. The whole numbers between 2.5 and 75 are 3, 4, 5, ..., 75. - The total count of whole numbers in this range can be calculated as follows: - The smallest whole number is 3. - The largest whole number is 75. - The count of whole numbers from 3 to 75 is \(75 - 3 + 1 = 73\). 2. **Understanding the Range**: - The range contains 6 different values. This means that there are only 6 unique outputs for the relation. 3. **Function Definition**: - A relation is a function if every element in the domain maps to exactly one element in the range. This means that no two different elements in the domain can map to the same element in the range. ### Conclusion - Since there are 73 whole numbers in the domain and only 6 different values in the range, it is possible for multiple domain values to map to the same range value. This means that at least one range value must be mapped to by more than one domain value. ### Answer Selection Given this analysis, the correct 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.**