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What is the domain and range of {(1,4) (0,-2) (2,3) (-1,4) (-3,0)?

Answer 1

Genesis Allen

#"Domain={-3,-1,0,1,2}, &, Range="{-2,0,3,4}#.

When a Relation or Function , say, #f#, is defined as a Set of

Ordered Pairs, i.e., #f={(x,y)}#., its Domain and Range ,

denoted by #D and R# resp., are the Sets , defined by,

#D={ x : (x,y) in f}, and, R={y : (x,y) in f}#.

Clearly, in our case,

#D={-3,-1,0,1,2}, &, R={-2,0,3,4}#.

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Answer 2

Isaiah Anthony

The domain of a relation is the set of all possible input values, while the range is the set of all possible output values.

For the given set of ordered pairs: [ {(1,4), (0,-2), (2,3), (-1,4), (-3,0)} ]

The domain is the set of all x-values in the ordered pairs: [ \text{Domain:} {1, 0, 2, -1, -3} ]

The range is the set of all y-values in the ordered pairs: [ \text{Range:} {4, -2, 3, 0} ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.