The correct option is i.e., the domain of the function is .
Further explanation:
Here, the function is given by the set of ordered pairs as shown in Table 1 (attached in the end).
The general form of the function is , where is domain of the function, is the range of the function and denotes the set of real numbers.
The domain of a function is the set of all those points where the function is defined that is all the possible values of such that the function gives the output .
The range of the function is defined as all the values of when (domain) is defined.
The function is .
The value of for different values of can be written as follows:
Therefore, the domain of the function is .
Option (A)
Here, the domain is .
The given domain is in the function form where (domain) is and (range) is .
Therefore, given represntation is not the correct representation of domain.
The given representation corresponds to the ordered pairs which defines a function.
Thus, the option (A) is incorrect.
Option (B)
Here, the domain is .
And the domain of the function is which is same as the option (B).
Thus, the option (B) is correct.
Option (C)
Here, the domain is .
And the domain of the function is which is not same as the option (C).
Thus, the option (C) is incorrect.
Option (D)
Here, the domain is .
And the domain of the function is which is not same as the option (D).
Thus, the option (D) is incorrect.
The domain of the function is .
Therefore, the option (B) is correct.
Learn more
1. Problem on range of the function brainly.com/question/1435353.
2. Problem on domain of the function brainly.com/question/3852778.
3. Problem on domain and range of the function brainly.com/question/3412497.
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Relation and Function
Keywords: Function, range, domain, relation, ordered pairs, sets, real numbers, ordinates, abscissa, co-domain, interval , open interval, closed intervals, semi-closed intervals, semi-open intervals.