Question

Direction: Form sets of five ordered pairs satisfying the ff. relation.
1. The abscissa is 3 more than the ordinate.
2. The ordinate is 2 less than the abscissa.
3. The abscissa is the square of the ordinate.
4. The ordniate is one-half the abscissa.

Direction: Constructing a set of all ordered pairs that satisfy the given relation. Write domain and range.
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 one-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 1

Answer on Question #43560 – Math – Geometry

Direction: Form sets of five ordered pairs satisfying the ff. relation.

1. The abscissa is 3 more than the ordinate.

Answer: $(3,0),(2,-1),(4,1),(10,7),(8,5)$.

2. The ordinate is 2 less than the abscissa.

Answer: $(3,1),(2,0),(4,2),(10,8),(8,6)$.

3. The abscissa is the square of the ordinate.

Answer: $(4,2),(9,3),(16,4),(25,-5),(36,6)$.

4. The ordinate is one-half the abscissa.

Answer: $(4,2),(10,5),(14,7),(6,3),(2,1)$.

Direction: Constructing a set of all ordered pairs that satisfy the given relation. Write domain and range.

1. $\{1,2,3,4,5\}$; The abscissa is two less than the ordinate.

Answer: $(1,3),(2,4),(3,5)$

2. $\{0,1,2,3,\dots\dots\dots\ 10\}$; Twice the abscissa more than one is equal to the ordinate.

Answer: $(1,2),(2,4),(3,6),(4,8),(5,10)$

3. $\{2,4,6,8,10\}$; The abscissa is one-half the ordinate.

Answer: $(2,4),(4,8)$

4. $\{1,3,5,7,9\}$; The abscissa is one-third the ordinate.

Answer: $(1,3),(3,9)$

5. $\{0,1,2,3,\dots\dots\ 9\}$; The abscissa is a natural number and the ordinate is a prime number.

Answer:

$(1,1),(1,2),(1,3),(1,5),(1,7)$

$(2,1),(2,2),(2,3),(2,5),(2,7)$

$(3,1),(3,2),(3,3),(3,5),(3,7)$

$(4,1),(4,2),(4,3),(4,5),(4,7)$

$(5,1),(5,2),(5,3),(5,5),(5,7)$

$(6,1),(6,2),(6,3),(6,5),(6,7)$

$(7,1),(7,2),(7,3),(7,5),(7,7)$

$(8,1),(8,2),(8,3),(8,5),(8,7)$

$(9,1),(9,2),(9,3),(9,5),(9,7)$

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