Page 180 - Mathematics_Form_3

Answers

8. y Exercise 1.6
4 4
1. (a) Domain = { :xx ≥ } 0
3 3
Range = { :yy ∈ }
2 2 -x+2= y
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2
x -2x=y (b) Domain = { :xx∈ }
1 1
Range = { :yy ∈ }
-3 -2 -1 0 1 2 3 x  15 
−−
-1 2. (a)  ,  , ( 2, 5), (3,10)
 22 
-2  1 
(b) Domain =  , 2,3 
−
 2 
Domain = { : 1x −< < } 2  5 
x
(c) Range =  , 5,10 
−
Range = { : 1y −< y < } 3  2 

, 
9. R = {( , ) :xy x ≤ 2 y and 2x ≥ } y 3. (a) (0, 1 , (0,1),− )    1 , 3  2 , 2 


 22  2 2 
x
Domain = { :0x ≤≤ } 2   1 2  
Range = { :0y ≤ y ≤ } 4 (b) Domain =   0, , 2    
2


 ( , ) :xy y > x + 2 2x − 8 and  (c) Range = − 1,1, 3 , 2  
10. R =    2 2 
x
 −+ 2 > y     
x
Domain = { : 5 < < } 2 4. (a) Range = { :yy∈ }
x −
Range = { : 9 y < } 7 (b) Range = { :yy∈ ; y ≥ } 0
y −<
(c) Range = { :yy∈ }
 ( , ) :xy x − 6x +≤ y and 
2
8
11. R =  
x
 −+ 2 > y  5. (a) Domain = { :xx∈ }
x
Domain = { : 2x << } 3 Range = { :yy > } 3
Range = { : 1y −< y < } 0 (b) Domain = { :xx ≥ } 0 Mathematics for Secondary Schools
Range = { :yy ∈ }
 ( , ) : x + 4x +< y and 
2
3
xy
12. R =  
3
 x +> y  Exercise 1.7
x
Domain = { : 3x −< < } 0 − 1 x y R }
Range = { : 1y −< y < } 3 1. R = {( , ) :( , )belongs toyx
2. R = {( , ):xy y = x 3 }
−
1
−
3. R = {( , ):xy x < } 4
1

Student\s Book Form Three 173

MATHEMATIC F3 SB.indd 173
MATHEMATIC F3 SB.indd 173 18/09/2025 10:00:04
18/09/2025 10:00:04