Question

A group of 6 students are surveying their classmates to get feedback about the different clubs they're involved in. If each student surveys more than 2 of their classmates, the total number of complete surveys, s(x), is given by the equation s(x)=6x. Which could be the domain of this function?
A. {x € R | x > 2}
B. {x € Q | x > (greater than or equal to) 2}
C. {x € N | x > 2}
D. {x € Z | x > (greater than or equal to) 2}​

Answer 1

Answer: C. {x ∈ N | x > 2}

Step-by-step explanation:

Domain is the set of all possible input values or x- values in a function for which it is defined.

Given: A group of 6 students are surveying their classmates.

Assume that each students surveyed equal number of classmates.

So total number of complete surveys = 6 x (number of classmates surveyed by each)

Also s(x)=6x, here x = number of classmates surveyed by each student.

Since, each student surveys more than 2 of their classmates, so x >2.

So required domain=  {x ∈ N | x > 2} , because number of students is always a natural number.

Therefore, correct option is C. {x ∈ N | x > 2}