Page 35 - Mathematics_Form_3

Relations

(c) 13. Draw the graph of the inverse of
y each of the following relations.
8
Hence, give its domain and range.
7
x
(a) R = {( , ):xy y >− 2and y < } 6
6
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5
y=x (b) R = {( , ): 4xy − < < 1and 3− < < } 3
4 x y
x=8
3 R = {( , ): 4xy − < < 1and 3− < < } 3
x
y
2
1
(c) R = {( , ) :x y y ≥ x − 2 2 andx y < } x
-2 -1 00 1 2 3 4 5 6 7 8 8 x
R = {( , ) :x y y ≤ x − 2 andx y < } x
-1 2
-2 y=-2
-3 (d) R = {( , ):1xy ≤ x ≤ 5and 3− ≤ ≤ } 1
y
y
R = {( , ):1xy ≤ x ≤ 5and 3− ≤ ≤ } 1
12. Draw the graph of each of the
following inequalities, hence find
its domain and range.
(a) R = {( , ):x y y ≥ x − 2 2 , andx y < } x
R = {( , ):x y y ≥ x − 2 2 , andx y < } x

2
(b) R = {( , ) :xy y ≤− x + 4 , andx y > } x
2
R = {( , ) :xy y ≤− x + 4 , andx y > } x
x
2
x
(c) R = {( , ) :xy y ≥ x − − 6, y > x and y <− + 10 }
2
R = {( , ) :xy y ≥ x − − 6, y > + 2 and y <− + 10 }
x
x
x
Mathematics for Secondary Schools

28 Student\s Book Form Three

18/09/2025 09:58:48
MATHEMATIC F3 SB.indd 28
MATHEMATIC F3 SB.indd 28 18/09/2025 09:58:48