STUDENT'S COPY MODULE 3

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I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P PPSMIPPSMI

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I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P I M S P P PPSMIPPSMI

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: n a h a r A . 1 Moduli n imengandung i itgapuluhl apansoalan .Semuasoalanadalahdalam . s ir e g g n I a s a h a b . 2 Modu lmerangkum iilmakonsrtuk yangdiuij 3 K -Memahamii stliahmatemaitkdalambahasa I ngge irs 5 K -Menguasa ikonsrtukpengetahuan 6 K -Menguasa ikonsrtukkefahaman 7 K -Menguasa ikonsrtukkemahrian 8 K - Mengungkapkani deai/nformas idalambahasaI ngge irs . 3 Mu ird hendaklah menuils makluma t dri i dalam ke tras jawapan objekit f u lr e p a g u j d ir u M . n a k a i d e s i d memasitkanmakluma tkonsrtuk ,nomborsoalandan m a l a d n a k a i d e s i d n a g n a u r m a l a d i d u r u g h e l o a c a b i d g n a y i tr e p e s n a l a o s h a l m u j . n a ij u m u l e b e s f it k e j b o n a p a w a j s a tr e k . 4 Bag isoalan objektfi ,anda pe lru menandakan j awapan dengan mengh tiamkan n a p a w a j n a h il i p pada piilhan j awapan A ,B ,C atau D pada ke tras j awapan .f it k e j b o : h o t n o C ? n a w i a h h a k a n a m g n a y , t u k ir e b a r a t n A . A Pokok B . Kambing C . Kereta D . P en . 5 Jawabsemuasoalan. i g n u d n a g n e m i n i l u d o M 19 halaman bercetak D A B C E

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. 1 Whati st hehighes tpowe ro fx f ort he quadraitcf unciton _f(_x) _x2 5_x4_? A -1 B 1 C 2 D 3 2 Which fo et h followinggraphsr epresent a quadraitcfunciton ? 3 Whichoft hef ollowingi saquadraitcf unciton ? A f(x) 5x3 B f(x) 1 6x x 0 A . x 0 B . x 0 C . x 0 D . ) (x f ) (x f ) (x f ) (x f

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4 Diagramshowst hegrapho fquadraitcf unciton . n o it a u q E x a i saveritca lilnepassingt hrough t het urningpoin t . ? s a n w o n k e n il e h t s e o d t a h W A x- sa xi B axiso fsymmetr y C y - sa xi 5 Which fo et h followinggraphso fquadraitcf uncitonhas ot w realandequalroots? 0 a x a x ) (x f y ) (x f x 0 A x 0 B x 0 C x 0 D f(x) ) (x f ) (x f ) (x f

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6 Which fo et h followingquadraitcf uncitonsgraphshas ot w disitnctroots? 7 Whichpointsr epresentt hemaximumpoin trfomt hegivenquadraitcf uncitongraph? x 0 A x 0 B x 0 C f(x) ) (x f ) (x f

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A B C D x x x x f o s i x a y rt e m m y s

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8 Givent hegrapho fquadraitcf unciton . f o s e u l a v f o e g n a r e h t e n i m r e t e D xof t he shaded r egion. A x 3 x , 2 B x {3 ,2} C 3 x  2 D x 3,2,1,0,1,2 9 Graphshowst hequadraitcf unciton g₍x₎ ₃₍x₂₎2 q e t a t S thevalue of q . A -7 B -3 C 2 -3 2 ) x (f x 2 ) 2 ( 3 ) (x x q g | | 0 x (2,5) ) (x g -7 - 2 x 2 ) 2 ( 3 ) (x x q g

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0 1 Givenaf unciton _f₍_x₎ ₂₍_x₂₎2₄ _._S_t_a_t_e_e_t_h _m_a_x_i_m_u_m_v_a_l_u_e_o_f _f_(x₎_. A -2 B 2 C 4 D -4 1 1 T hegeneralf ormo faquadra itcf unciton i sw irttenas f₍x₎ ax2 bxc _I._f 4 3 3 ) (_x _x2 _x f ,state et h value fo a ,bandc. A a 3 ,b 4 ,c 3 B a 3 ,b 3 ,c 4 C a 3 ,b 3 ,c 4 D a 3 ,b 4 ,c 3 2 1 Intheparaboilcgrapho f _f₍_x₎ ₂_x2₄_x₇_,_w_h_a_t_i_s_t_h_e_t_u_r_n_i_n_g_p_o_i_n_t_k_n_o_w_n_a_s_? A minimumpoint B maximumpoint C staitonarypoint

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3 1 Graphshows et h func iton fo _f₍_x₎ ₂_x2₇_x_q_. f o e u l a v e h t e n i m r e t e D q . A 9 8 B 4 7 C 1 D 5 0 5 1 9 7 , 8 4 · § ¸ ¨ _¹ © 5 2 2 ₇ 2 ) (x x x q f ) (x f x | | - x

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4 1 Givenaquadraitcf unciton f(x) (x5)(x3). n e h w h p a r g e h t f o n o it i s o p t c e rr o c e h t e s o o h C f(x) 0. 5 1 T hemaximumpoin toft hef unciton _f₍_x₎ _a₍_x_p₎2_q_i_s ₍_p_,_q₎ _. e h t e n i m r e t e D maximumpoin to f _f(_x) 3(_x2)2 3 A (3,2) B ( 2, 3) C (2,3) D (3,3) x 0 A . 0 B . x 0 C . x 0 D .

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6 1 Determinet heminimumpoin to f_g(_x) 2(_x6)2 4_. A (6,4) B (6,4) C (2,4) D ( 2, 6) 7 1 x p i st heequationo faxiso fsymmertyoft hefunciton _f₍_x₎ _a₍_x _p₎2_q_. f I

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,statet heequaitonoft heaxiso fsymmerty. A x 3 B x 3 C 3 D 3 8 1 Thef unciton _g(_x) 3(_x5)2 1 _h_a_s_a_m_i_n_i_m_u_m _v_a_l_u_e_. i m e h t e n i m r e t e d o t d e rr e f e r s i g n i w o ll o f e h t f o h c i h W nimumvalueoft he ? n o it c n u f A – 1 B 2 C 3 D 5 9 1 Given et h quadraitcfunciton _f₍_x₎ _x2_m_x2₆_x₁₀ _. e n i m r e t e d , m r o f l a r e n e g n i n e tt ir w s i n o it c n u f e h t fI et h value fo a ,band c, A a 1 ,b 6, c 10 B a 1m ,b 6, c 10 C a m ,b 6, c 10 D a 1m ,b 6, c 10

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0 2 Given et h funciton _f₍_x₎ ₃_x2 ₅_x₂_. fI f(x)!0 , T nh e 3_x2 5_x2 _!0 N te x

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! 0 e n i m r e t e D et h rangeo fvalueso fx. A x > 3 1 , x >2 B , 2 3 1 ! x x C 3 1 2 x D 2 3 1 x 1 2 T mhefor u la ,4 2 4 2 b c a b a a · § ¸ ¨ ¹ © canbeusedt odeterminetheminimumpoin toft he n o it c n u f c it a r d a u q _f₍_x₎ ₂_x2₅_x₃_. ? t c e rr o c s i g n i w o ll o f e h t f o h c i h W A A . ( ,5) 4(2)( 3) (5)2 ) 2 ( 4 ) 2 ( 2 · § _¸ ¨ ¹ © B B . ( 5),4(2)( 3) ( 5)2 ) 2 ( 4 ) 2 ( 2 · § ¸ ¨ ¹ © C C . ( ,5) 4(2)( 3) ( 5)2 ) 2 ( 4 ) 2 ( 2 · § ¸ ¨ ¹ ©

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2 2 Given f(x)=

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n e h W f(x)<0 ,byusingt hegraph sketchingmethod, dif en t h range fo valueso f x. A 2 x dd 5 B 2x5 C xd2 t,x 5 D x2 !,x 5 3 2 Theequaitono faxiso fsymme rtycan bedeterminedbyusing 2 b x a . n e v i G _g₍_x₎ ₂_x2₅_x₇ _. ? t c e rr o c s i g n i w o ll o f e h t f o h c i h W A 4 5 x B 4 5 x C 5 1 x D 5 1 x -2 | 5 |

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4 2 Given f(x) (2x)(3x) . n e h W f( tx) 0 ,byusing et h numbe rilnemethod ,ifndt herangeofvalueso fx. A x!3 , x2 B x!3 , x!2 C xd2 , xt3 D 2 d x d 3 5 2 Diagramshowsaquadraitcf unciton_f(_x) 2(_x3)2 7_. -2 3 x 5 2 0 7 ) 3 ( 2 ) (_x _x 2 f 3 ) (x f -

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6 2 Whichoft hef ollowinggraphr epresentt hequadraitcf uncitonof 2 ₂ ₁₅ ) (x x x f ? 7 2 Diagramshowst hef unciton _f(_x) _x2 5_x4 _i_n_t_e_r_s_e_c_t_a_t_a_a_n_d_b_. . b d n a a f o s e u l a v e h t d n i F A a b=4 = 1 , B a b=1 = 4 , x 0 A x 0 ) (x f x 0 C B D 0 x ) (x f ) (x f f (x) ) (x f a b 4 5 ) (_x _x2 _x f 0 4 x | | -

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8 2 Determinet her angeo fvalueso fx t ha tsaitsifesthequadraitci nequaltiy 0 ) 3 ( ) 1 2 ( x x d . A 1, 3 2 x xd d B 1, 3 2 x xd t C 1 3 2dx d D 1 3 2dx t 9 2 Diagramshowst hegrapho f _f₍_x₎ _x2 ₂_q_x₂_q₁_. t c e rr o c s i g n i w o ll o f e h t f o h c i h W to ifndt he possible valueso fq ? A 4_q2 8_q 0 B 4_q2 4 0 C 4_q2 8_q4 0 D 4_q2 8_q 0 0 2 ₂ ₂ ₁ ) (x x qx q f ) (x f x

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0 3 Determine et h minimumpoint fo quadra itcf unciton _f₍_x₎ ₃_x2₄_x₁_. A ¸ ¹ · ¨ © § 3 1 , 3 2 B ¸ ¹ · ¨ © § 5, 3 2 C ¸ ¹ · ¨ © § 4 7 , 2 3 D ¸ ¹ · ¨ © § 4 5 5 , 2 3 1 3 T hequadraitcfunciton _f₍_x₎ _m_x2₂_x₃ _d_o_e_s_t_n_o _i_n_t_e_r_s_e_c_t_e_{t x-}_h _a_x_i_s_. f o s e u l a v f o e g n a r e h t d n if o t t c e rr o c s i g n i w o ll o f e h t f o h c i h W m ? A 4+ 2m< 0 B 4+ 2m> 0 C 4+ 2m= 0 D 412md0 2 3 Given ₂_x2₇_x₃₀ _a_n_d _m_x_n _._F_i_n_d_t_h_e_v_a_l_u_e_s_o_f_m _a_n_d _n_. A 2 1 , 3 n m B 1 , 3 2 n m C 1 , 3 2 n m D 2 1 , 3 n m

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3 3 Given _g(_x) _x2 _p_x25 _t_o_u_c_h_e_s _{x -}_a_x_i_s_a_t₍₅_,₀ _.) f o e u l a v e h t d n i F p. A 1 0 B - 01 C 1 00 D - 01 0 4 3 Given _f(_x) 16_x2 1 _._F_i_n_d_t_h_e_r_a_n_g_e_o_f_v_a_l_u_e_s _x _i _f_f_(x₎_i_s_p_o_s_i_it_v_e_. A 4 1 4 1 x B 4 1 , 4 1 _! x x C 4 1 , 4 1 _! ! x x D 4 1 4 1 _! _! x 5 2 ) (_x _x2 _p_x g (5 ), 0 0 5 2 ) (x g - x x

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5 3 Givent hef unciton _g₍_x₎ ₄_x2₈_x₉ _._E_x_p_r_e_s_s _g_(x₎_n_i_t_h_e_f_o_r_m_o_f_a₍_x _p₎2_q e r e h w a,p and q areconstants. A ₄₍ ₁₎2 5 4 x B _{4 x}₍ ₁₎2₅ C ₍ ₁₎2 5 4 x D _(x₁₎2₅ 6 3 Diagramshowst hegrapho fquadraitcf unciton. e b ir c s e d o t e u rt s i g n i w o ll o f e h t f o h c i h W thegraph? A T hefuncitons sh a nor ealroots B T hefunciton sh oa t w disitnctroots C T hefuncitonhast woequalroots. D T hefuncitontouches x- sa xi a tonepoint . ) (x f y x c a b y

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7 3 Given _f(_x) _x2 _x_h_x4_a_n_d _f_(x₎_h_a_s_t_w_o_d_i_s_it_n_c_t_r_o_o_t_s_. .I Determinet hevalues fo ba, and c. .I I U sethedisc irminan t_b2_{4 c}_a _!₀ .I II Facto irse da n determine et h range . V I Wrtiei ngeneral mfor _a_x2_b_x_c ₀ h c i h W fo et h a rrangement si co rrect to ifndt her angeo fvalueso fx? A II,II ,II V,I B I,II ,II,II V C ,II ,II V,I II D IV ,,II ,II II 8 3 y mxc i sat angentt ot hegraph y f(x) . t u o b a t c e rr o c s i s t n e m e t a t s g n i w o ll o f e h t f o h c i h W f(x) mxc? A Theequaitonhasonesoluiton 0 ) (x f y x c x m y ) (x f x

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16 7 1 8 1 9 1 0 2 A B C D E A B C D E A B C D E A B C D E A B C D E 21 2 2 3 2 4 2 5 2 A B C D E A B C D E A B C D E A B C D E A B C D E 26 7 2 A B C D E A B C D E n a t a k g n i T / n u h a T : 4 MataPelajaran: MATEMATIKTAMBAHAN E P N A K A N U G NSIL2BATAUBBSAHAJA . P A I T N A K U T N E T -TIAPTANDAI TUHITAMDANMEMENUH IKESELURUHANRUANG. A N A M S I B A H A G G N I H N A K M A D A P -MANATANDAYANGANDAUBAH A W A J F U R U H T U K I G N E M H A W A B I D N A P A W A J N A K M A T I H A L I S PANYANGANDAPILIH A I S Y A L A M N A R A J A L E P N A I R E T N E M E K F I T K E J B O N A P A W A J S A T R E K k it s o n g a i D n a ij U 1 5 1 ₂ 5 3 5 4 5 5 5 A B C D E A B C D E A B C D E A B C D E A B C D E 6 5 7 5 8 5 9 5 0 6 A B C D E A B C D E A B C D E A B C D E A B C D E 46 7 4 8 4 9 4 0 5 A B C D E A B C D E A B C D E A B C D E A B C D E 1 4 1 ₂ 4 3 4 4 4 5 4 A B C D E A B C D E A B C D E A B C D E A B C D E 1 3 2 3 3 3 4 3 5 3 A B C D E A B C D E A B C D E A B C D E A B C D E 36 7 3 8 3 9 3 0 4 A B C D E A B C D E A B C D E A B C D E A B C D E 1 2 3 4 5 A B C D E A B C D E A B C D E A B C D E A B C D E 6 7 8 9 0 1 A B C D E A B C D E A B C D E A B C D E A B C D E 1 1 2 1 3 1 4 1 5 1 A B C D E A B C D E A B C D E A B C D E A B C D E k u r t s n o K No .Soalan Jumlah n a l a o S BGliaagnaga lDnjiSaowaalabn KegunaanGuru 3 K 5 K 6 K 7 K 8 K 1 - 8 9 - 6 1 7 1 - 5 2 6 2 - 5 3 6 3 - 8 3 8 8 9 0 1 3 1 2 3 4 5 6 7 : r a j a l e P a m a N : h a l o k e S a m a N Modul: 3