Question

I need help plz

1. The range of the following relation R {(3,-5),(1,2),(-1,-4),(-1,2)} is
A. {-1,1,3}
B. {-5,-4,2)
C. {-1,-1,1,3}
D. {-4,-5,2,2}
2. The domain of the following relation R {(3,-2), (1,2), (-1,-4),(-1,2)
A. {-1,1,3}
B. {-1,-1,1,3}
C. {-4,-2,2,2}
D. {-4,-2,2}

Answer 1

1 ) B. {-5 , -4 , 2}

2 ) A. {-1 , 1 , 3}

Explanation:

1. The range of a relation is an ordered pair of real numbers to which all the real numbers in the domain relate to.

Given the Relation R: { ( 3, -5 ) , ( 1 , 2 ) , ( -1 , -4 ) , ( -1 , 2 ) }

Here The Range is the ordered pair of number towards the right in each relation.

Range = { -5 , 2 , -4 }

2. The domain of a relation is an ordered pair of real numbers which are related to any one of the element in the range of the relation.

Given the Relation R: { ( 3 , -2 ) , ( 1 , 2 ) , ( -1 , -4 ) , ( -1 , 2 ) }

Here the domain is the ordered pair of numbers towards the left in each relation.

Domain = { -1 , 1 , 3 }