Page 198 - Mathematics_Form_3

Answers

8. (a) One-to-one (d) Not one-to-one as y = 1 has
1
(b) One-to-one two values of x, x = and
(c) One-to-one x = 3
(d) One-to-one  7 1 
11. (a)  ,− 
FOR ONLINE READING ONLY
9 (a) (i) g(−1)=1  4 8 
(ii) g(– 4) = –2  1 15 
(b) − , 

(iii) g (1.6) = 2  8 16 
(b) y  3 23 
3 (c) − , 

g(x)=2  4 8 
2
g(x)=x+2 1 12. (a) y = ± x + 2 1

-3 -2 -1 0 1 2 3 x Domain = { :xx∈ }
-1 Range = { :yy ≥ } 1

(b) f − 1 () 6 2x = − x
(c) Domain { :xx= £ } 2
Domain = { :xx∈ }
Range { :yy= £ } 2 Range = { :yy ∈ }

10. (a) (i) ( ) 1g = 1
13. y
(ii) (1.5)g = 2
3
(iii) (4)g = 2 h(x)=|x+2|
2
 21 17
(iv) g   = 1
 2  2
(b) y -4 -3 -2 -1 0 1 2 3 x
-1
4
-2
3
g(x)=2x-1
2
(a) Domain = { :xx∈ } Mathematics for Secondary Schools
1
g(x)=x-2
Range = { :yy ≥ } 0
-2 -1 00 1 2 3 4 5 x (b) ( )isnot onetoonehx one-to-one
-1
g(x)=x (c) c = − 2
-2
(d) f − 1 ( )x = x − 2, x ≥ 0

(c) Domain = { :xx < 0, x ≥ } 1 Domain = { :xx ≥ } 0

Range = { :yy ∈ } Range = { :yy ≥− } 2

Student\s Book Form Three 191

18/09/2025 10:00:13
MATHEMATIC F3 SB.indd 191 18/09/2025 10:00:13
MATHEMATIC F3 SB.indd 191