Answer:
{(5,4), (4,3), (3,2), (3,1)}
Domain: {5,4,3}
Range: {4,3,2,1}
The domain is the set of all the values of x and the range is the set of all the values of y.
Relation/Function: Relation
Since x=3 produces y=2 and y=1, the relation (5,4), (4,3), (3,2), (3,1) is not a function.
The relation is not a function.
{(-2,3), (-1, 3), (2, 1) (1,1)}
Domain: {-2,-1,2,1}
Range: {3,1}
Relation/Function: Function
Since there is one value of y for every value of x in (−2,3),(−1,3),(2,1),(1,1), this relation is a function.
The relation is a function.
{(-1, 1),(0,0),(1,1),(-2,4),(2,4)}
Domain: {-1,0,1,-2,2}
Range: {1,0,4}
Since there is one value of y for every value of x in(-1, 1),(0,0),(1,1),(-2,4),(2,4),this relation is a function.
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Answers & Comments
Answer:
{(5,4), (4,3), (3,2), (3,1)}
Domain: {5,4,3}
Range: {4,3,2,1}
The domain is the set of all the values of x and the range is the set of all the values of y.
Relation/Function: Relation
Since x=3 produces y=2 and y=1, the relation (5,4), (4,3), (3,2), (3,1) is not a function.
The relation is not a function.
{(-2,3), (-1, 3), (2, 1) (1,1)}
Domain: {-2,-1,2,1}
Range: {3,1}
The domain is the set of all the values of x and the range is the set of all the values of y.
Relation/Function: Function
Since there is one value of y for every value of x in (−2,3),(−1,3),(2,1),(1,1), this relation is a function.
The relation is a function.
{(-1, 1),(0,0),(1,1),(-2,4),(2,4)}
Domain: {-1,0,1,-2,2}
Range: {1,0,4}
The domain is the set of all the values of x and the range is the set of all the values of y.
Relation/Function: Function
Since there is one value of y for every value of x in(-1, 1),(0,0),(1,1),(-2,4),(2,4),this relation is a function.
The relation is a function.
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