4,5
11.E(180◦; 1), rangey 2
Rand domain 0 360 ; x ̸=
90 ; x̸= 270- a)y= 2 cos
b)y=sin+ 1 - 90 ◦< < 270 ◦
- 0 ◦< < 210 ◦and 330 ◦< <
360 ◦ - 60 ◦< < 300 ◦
- a)A = (90◦; 4); B =
(90◦; 2); C =
(180◦; 4)andD= (180◦; 2)
b) 2
c) 2
d) 2 - a)A = (90◦; 1); B =
(180◦; 3); C =
(270◦; 1)andD= (360◦; 3)
b) 2
c) 3
d) 1- a)A = (90◦; 3); B =
(90◦; 2); C =
(180◦; 4)andD= (270◦; 2)
b) 3
c) 2
d) 1
Exercise 6 – 7:
- a)y=x+ 2andy= ^12 x^2 + 2
b)y= 8xandy=x^8
3. a)(iii)
b)(iv)
c)(iii)
d)(i)Exercise 6 – 8:
- a)y= 3x
b)y=x 4 - a)x-intercept= ^53 andy-intercept= 5
b)x-intercept= 2 andy-intercept= 4
5.m= 1, andy=x 4 - a)E
b)B
c)A
d)C
e)F
f)D - a)True
b)False
c)False - a)y=^52 x+ 3
b)y=^43 x+^16 - a)120 mL
b)600 mL
c)33,33s
d)240 mL - a)50km
b)The domain is 0 t 120 min.
c)The range is 0 s 100 km, it represents the total distance
travelled.
12.a= ^13 ;q= 6 - a) 3
b)( 0,77; 0)and(0,77; 0) - a)k(x)
b)g(x)
c)h(x)
d)f(x) - a)g(x)
b)f(x)
c)h(x) - a)8 m
b)6 m
c)3 m
d)1 m
18.a= 2andq= 3 - a)no solution
b)^34 - a)k(x)
b)f(x)
c)g(x)
d)h(x) - a)Translation by 2 in the positivey-direction.
b)Reduction by 4
c) Translation by 3 units in the positivey-direction.
d)Reflection onx-axis- a) 2,50
b)1,3
25.a= 3andq= 4 - a) h(x)
b)f(x)
c) k(x)
d)g(x) - a) 4
b) 2
c) ^32381
d) 107
e) 271
f) 77
g) ^32 - a) False
b)False
c) True
d)False
e)False
f) True - b)( 3; 12)and(2; 2)
d)y= 2 x^2 + 6
30.1,6 units - a) x+y= 15;y=x+ 3
b)
c) 6 R 5 coins and 9 R 2 coins - a=^32 andq= 3
- a= 3andq= 0
34.a= 1andq= 3 - a) g(x)
b)f(x)
c) k(x)
d)h(x)
36.f(x) = 3,5cos - a) E= (270◦; 2)and 2 y 2
b)E= (360◦; 2)and 2 y 2 - E= (45◦; 0), rangey 2 Rand domain 0 x 360 ; x̸=
90 ; ̸= 270 - 0 ◦< < 180 ◦
- 0 ◦< < 90 ◦and 270 ◦< < 360 ◦
- 0 ◦< < 360 ◦
- a) y= 3x
b)y= 2 x^2 + 3
Solutions 507