Page 178 - Mathematics_Form_3

Answers

x
10. R = {( , ) : x +> y and −> } y Exercise 1.5
2
xy
Domain = { : xx∈ } 1.
Range = { : yy < } 1 y y=x -4x+3
2
4 4
FOR ONLINE READING ONLY
xy
11. R = {( , ) :1 x ≥ y and y ≥ } 1 3
−
(0, 3)
(4, 3)
Domain = { : xx ≤ } 0 2 y =x-1
Range = { : yy ≥ } 1
1
(1, 0)
12. R = {( , ) : 2 ≤ ≤ 2 and 1≤ y ≤ } 1 -1 0 0 1 1 2 3 4 x
xy −
x
−
x −≤ ≤
Domain = { : 2 x } 2 -1
(0, -1)
y −≤
Range = { : 1 y ≤ } 1
Domain = { :1x << } 4
x
−
13. R = {( , ) :3y ≤ 12 4x } Range = { : 1y −< y < } 3
xy
Domain = { : xx∈ } 2. y
Range = { : yy ∈ } (-2, 0) 1 (3, 0)
-4 -3 -2 -1 00 1 2 3 3 4 x
-1
x
x y
x
14. R = {( , ) : y ≤+ 2 and y ≥− } 2 y = x -x-6 -2
2
Domain = { : xx∈ } -3
Range = { : yy ∈ } -4
-5
15. R = ( { ,xy ) : y − 2x ≤ 2, x − 2y ≤ 2, 3y + 2x ≤ } 6 -6 (0, -6)
(0, -6)
2x - 6 = y -7
R = ( { ,xy ) : y − 2x ≤ 2, 2y x− ≥ 2, 3y + 2x ≤ } 6 -8
-9
Domain =   x : 2−≤ ≤ 18  Domain = { :0 ≤< } 3
x
x
x
 7 
Range = { : 2y −≤ y ≤ } 2 Range =   : y − 25 ≤ y < 0   Mathematics for Secondary Schools
 4 

Student\s Book Form Three 171

18/09/2025 10:00:03
MATHEMATIC F3 SB.indd 171
MATHEMATIC F3 SB.indd 171 18/09/2025 10:00:03