Question 758934: use the elements of the given set in constructing a set of all ordered pairs that satisfy the given relation? the domain and the range..
questions:
1. (1,2,3,4,5); the abscissa is two less than the ordinate?
2. (0,1,2,3,...10); twice the abscissa more than one is equal to the ordinate?
3. (2,4,6,8,10); the abscissa is half the ordinate?
4. (1,3,5,7,9); the abscissa is one third the ordinate?
5. (0,1,2,3,...9); the abscissa is a natural number and the ordinate is a prime number?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! use the elements of the given set in constructing a set of all ordered pairs that satisfy the given relation? the domain and the range..
questions:
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abscissa = x ; ordinate = y
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1. (1,2,3,4,5); the abscissa is two less than the ordinat?
Rule: x = y-2 ; y = x+2
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Assuming the given set is the domain you get:
(1,3),(2,4),(3,5),(4,6),(5,7)
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Range: {3,4,5,6,7}
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2. (0,1,2,3,...10); twice the abscissa more than one is equal to the ordinate?
Rule: y = 2x+1
(3,7),(4,9),(5,11),(6,13),(7,15)
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Range: {7,9,11,13,15}
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3. (2,4,6,8,10); the abscissa is half the ordinate?
Rule: x = (1/2)y
y = 2x
etc.
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4. (1,3,5,7,9); the abscissa is one third the ordinate?
Rule: x = (1/3)y
y = 3x
etc.
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5. (0,1,2,3,...9); the abscissa is a natural number and the ordinate is a prime number?
Rule: x is natural ; y is prime
etc.
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Cheers,
Stan H.
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