Answers 483
c
3aminimum=0, maximum=2
bminimum=¡ 2 , maximum=2
cminimum=¡ 3 , maximum=3
dminimum=¡ 2 , maximum=0
4a 2 ¼ b ¼ 2 c ¼ d ¼ 3
5 Function Period Amplitude
y= 3 sin 2x+1 ¼ 3
y= tan 2x ¼ 2 undefined
y= 2 cos 3x¡ 3 23 ¼ 2
Function Domain Range
y= 3 sin 2x+1 x 2 R ¡ 26 y 64
y= tan 2x x 6 =§¼ 4 ,§^34 ¼,:::: y 2 R
y= 2 cos 3x¡ 3 x 2 R ¡ 56 y 6 ¡ 1
6 y= 4 cos 2x
7
8ax¼ 115 ±, 245 ±, 475 ±, 605 ± bx¼ 25 ±, 335 ±, 385 ±
9ax=^76 ¼,^116 ¼,^196 ¼,^236 ¼ bx=¡^74 ¼,¡^54 ¼,¼ 4 ,^34 ¼
cx=^49 ¼,^59 ¼,^109 ¼,^119 ¼,^169 ¼,^179 ¼
dx=¼ 4 ,^74 ¼,^94 ¼,^154 ¼
10 a 1 ¡cosμ b^1
sin®+ cos®
c ¡cos®
2
dcosecμ+1
12 ax=¡^23 ¼,¡¼ 6 ,¼ 3 ,^56 ¼ bx=¡^23 ¼,¡¼ 3 ,¼ 3 ,^23 ¼
REVIEW SET 9B
1aThe function repeats itself over and over in a horizontal
direction, in intervals of length 8 units.
bi 8 ii 5 iii ¡ 1
2ab=6 bb=24
3aminimum=¡ 8 , maximum=2
bminimum=¡ 2 , maximum=4
cminimum=5, maximum=13
4a
b
c
d
5aa=2, b=6,c=¡ 2
b
6ay= 2 tanx+2
b
7ax¼¡ 6 : 1 ,¡ 3 : 4 b x¼ 0 : 8
8 m=3, n=¡ 1
9ax=^32 ¼ b x=¼ 6 ,^56 ¼,^76 ¼,^116 ¼
y
O x
4 y=y=¡¡¡¡¡¡tantan2x+42x+4
prr_p_ wp_w_p EEf_fp_p ¼¼ Tf_Tfpp_ Es_Esp_p UfUf_p_p 22 ¼¼
2
-2
¼ 2 ¼ x
y
y=¡¡¡2_cosx
O
y=¡¡¡jj2_cosx
1
-1
¼ 2 ¼
x
y y=¡¡¡cosx
O
-2 y=¡¡¡cosx-3
-3
-4
y
O x
y = 2_¡¡¡tantanx
y=y=¡¡¡¡¡¡tantanxx
w_pp_w ¼¼ sEEs_p_p 22 ¼¼
2
-2
y
x
y=3_¡¡¡sinx+1
O
y=¡¡¡sinx
4
¼ 2 ¼
-2
-4
x
y
y = 2_¡¡¡sin6x - 2
O w_p ¼
2
¼ 2 ¼
x
y y=¡¡¡cos2x+1
O
y=¡¡¡cosx
1
1
y
O x
y=y=¡¡¡¡¡¡tantanxx
2
-2-2¼¼ --Es_Espp_ --¼¼ --p_wpw_ wp_wp_ ¼¼ sEEs_p_p 22 ¼¼
y=2_y=2_¡¡¡¡¡¡tantanx+2x+2
cyan magenta yellow black
(^05255075950525507595)
100 100
(^05255075950525507595)
100 100 IB HL OPT
Sets Relations Groups
Y:\HAESE\CAM4037\CamAdd_AN\483CamAdd_AN.cdr Tuesday, 8 April 2014 8:34:42 AM BRIAN