Page 181 - Mathematics_Form_3

Answers

4. (a) (b) Domain = { :xx∈ }
Range = { :yy∈ }

p a  1 5
q b 10. (a) R = − 1   ( , ):xy y < 2 x − 2  
FOR ONLINE READING ONLY
c
r (b) Domain = { :xx∈ }
s d Range = { :yy∈ }
e

1
−
(b) R = {( , ) :( , ),( , ),( , ),( , ),( , ),( , ),( , )x y pa qa q b q c r d − 1 r e  s e } 2 
R = {( , ) :( , ),( , ),( , ),( , ),( , ),( , ),( , )x y pa qa q b q c r d r e s e } 11. (a) R =   ( , ):xy y = x − 5  
−
1
1
−
(c) Domain of R = { , , ,pqr s } (b) Domain = { :xx∈ , x ≠ } 0
−
(d) Range of R = { , , , ,abc d e } Range = { :yy∈ , y ≠− } 5
1
 1 1    x +  1 
1
−
5. (a) R =  ( , ):xy y = x −  12. (a) R =  ( , ):xy y = ± 
−
1
 2 2   3   
(b) Domain = { :xx∈ } (b) Domain = { :xx ≥− } 1
Range = { :yy∈ } Range = { :yy∈ }
 1 1 
6. (a) R =  ( , ):xy y = x − 
1
−
 2 4  Exercise 1.8
(b) Domain = { :xx∈ } 1.

Range = { :yy∈ } x } 3

Mathematics for Secondary Schools (b) Domain = { :xx ≥ } } 0 -4 -3 -2 -1 -1 1 2
{
2
7. (a) R =
y = ±
( , ):xy
1
−
1
0
Range =
{ :yy∈
-2
8. (a) R =
{( , ):xy
x <
} 0
1
−
-3
} 0
{ :xx <
(b) Domain =
}
{ :xx∈
Domain =
Range =
{ :yy∈
Range = { :yy ∈ } }
 1 
−
1
9. (a) R =  ( , ):xy y > x 
 3 
174 Student\s Book Form Three
18/09/2025 10:00:05
MATHEMATIC F3 SB.indd 174 18/09/2025 10:00:05
MATHEMATIC F3 SB.indd 174