The set of ordered pairs below is a relation. {(0.5,2), (1.5,5), (4.0,12), (6.5,15)} Which relation has the same domain as the given relation? {(1,5),(2,2),(-3,15),(-8,12)}
{(0.5,1),(1.5,4),(4.0,11),(6.5,14)}
{(2,1,1),(5,2.2),(12,3.3),(15,4.4)}
{(-1,6.5),(-3,1.5),(-6,4.0),(-10,0. 5)}​

Given:

The set of ordered pairs is

{(0.5,2), (1.5,5), (4.0,12), (6.5,15)}

To find:

Which relation has the same domain as the given relation?

Solution:

We know that, domain is the set of input values or x-values.

For the given set {(0.5,2), (1.5,5), (4.0,12), (6.5,15)}, the domain is

Domain={0.5, 1.5, 4.0, 6.5}

Similarly,

For {(1,5),(2,2),(-3,15),(-8,12)},

Domain = {1, 2, -3,-8}

For {(0.5,1),(1.5,4),(4.0,11),(6.5,14)},

Domain={0.5, 1.5, 4.0, 6.5}

For {(2,1,1),(5,2.2),(12,3.3),(15,4.4)},

Domain = {2, 5, 12, 15}

For {(-1,6.5),(-3,1.5),(-6,4.0),(-10,0.5)}​,

Domain = {-1, -3, -6, -10}

So, the relation {(0.5,1),(1.5,4),(4.0,11),(6.5,14)} has the same domain as the given relation.

Therefore, the correct option is B.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.