Page 22 - Mathematics_Form_3

Relations

Exercise 1.5 9. y

Draw the graphs of the relations in 5
questions 1 to 8 and use the graphs y=x 2 4
to find the domain and range of each y = 2x
FOR ONLINE READING ONLY
relation. 3
2
2
x
1. R = {( , ) :xy y > x − 4x + 3 and y <− } 1
1 1
2
x
R = {( , ) :xy y > x − 4x + 3 and y <− } 1

-2 -1 0 1 2 3 x
x
2
2. R = {( , ) :xy y ≥ x −− 6 and 2x − > } y -1
6
6 and 2x − >
R = {( , ) :xy y ≥ x −− 6 } y
2
x
10. y
3
3. R = {( , ) :xy x − 4x + ≤ y and x − ≤ } y 7 6
1
2
1
3
R = {( , ) :xy x − 4x + ≤ y and x − ≤ } y 5 y=x +2x-8
2
2
4
3
3 y
2
4. R = {( , ) :xy x − 2x −> and y < } 0 2
1
2
R = {( , ) :xy x − 2x −> y and y < } 0
3
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 x
-1
1
5. R = {( , ) :xy − x + 4x − > y and x − < } y -2
3
2
-3
3
y
R = {( , ) :xy − x + 4x − > and x − < } y -4 y=-x+2
2
1
-5
-6
2
6. R = {( , ) :xy − x + 4x > y and x −< } y -7
4
-8
y
2
4
R = {( , ) :xy − x − 4x > and x −< } y -9
2
2
9
7. R = {( , ):xy x − 4x +< and x − > 11. } y
3 y
y
2
3 y
2
R = {( , ):xy x − 4x +< and x − > } y 3
9
2
y=x -6x+8 Mathematics for Secondary Schools
2
2
x
8. R = {( , ) :xy x − 2x < y and −+ > } y
2
1
2
y
R = {( , ) :xy x − 2x < and −+ > } y
2
x
In questions 9 to 12, find the relations 0 1 2 3 4 x
represented by the graphs. Use the -1
graphs to find the domain and range -2 y = - x + 2
of each relation.
Student\s Book Form Three 15
18/09/2025 09:58:41
MATHEMATIC F3 SB.indd 15
MATHEMATIC F3 SB.indd 15 18/09/2025 09:58:41