Respuesta :

Answer:

Domain: {-2,0,-1,4}

Range: {4,2,3,-2}

Step-by-step explanation:

1. Given the The relation Q={ (-2, 4), (0, 2), (-1, 3), (4, -2)}, you can determine the domain and the range as following:

DOMAIN:

The domain is the x-coordinate of each ordered pair. Therefore, you have:

Domain: {-2,0,-1,4}

RANGE:

The range is the y-coordinate of each ordered pair. Therefore, you have:

Range: {4,2,3,-2}

You can use the fact that domain is input values' set and range is output values' set.

The domain and range for the relation Q is

  • {-2, 0, -1, 4} = Range of Q
  • {4,2,3,-2} = Domain of Q

What is domain and range of a relation?

  • Domain is the set of values for which the given relation is defined.
  • Range is the set of all values which the given relation outputs.

The given relation is Q = { (-2, 4), (0, 2), (-1, 3), (4, -2)  }

The standard form of writing the input to output mapping by a relation is

[tex]( x, y)[/tex]

where x is the input value and y is the output value given by the relation Q

The input set, thus, is {-2, 0, -1, 4} = Range of Q

The output set is {4,2,3,-2} = Domain of Q

Remember that a set cannot have duplicate values (if it comes, we don't add it twice), and order of elements in a set doesn't matter.

Thus,

  • {-2, 0, -1, 4} = Range of Q
  • {4,2,3,-2} = Domain of Q

Learn more about domain and range here:

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