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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