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
B. x € Q
C. x € N
D. x > (greater than or equal to) 2​

Answer 1

The correct answer is C. {x € N | x > 2)

Explanation:

I got it right on the Edmentum test.

Answer 2

Answer: C. x ∈ N

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 , because number of students is always a natural number.

Therefore, correct option is C. x > 2