Review for Midterm Exam

Size: px

Start display at page:

Download "Review for Midterm Exam"

Myra Welch
5 years ago
Views:

1 Algebra Name n ]0\sD tkkustsaf ASPoRfrtfwZaArHep clzldcg.q L maflnlp orbitgjhxtlsr LrmeesaecrbvFedk. Review for Midterm Eam Graph each line. Date ) = + ) + 5 = Find the inverse of the linearfunction. ) f () = State if the given functions are inverses. Show using composition. ) g() = + 5 h() = Solve the sstem using a matri. 5) + - z = z = z = Solve each absolute value equation. ) k + = 0 7) 0 + k = Solve each inequalit and graph its solution. ) - ³ - 0 State the transformations of the functon. 9) g() = - f () + 0) g() = f ( + ) V gv0b^q JKHuFtbad RSFoHfWtlwMalrBea slzllcv.` F GAilklT DrfiKgMhFtLsv PrNegsgeRrqvPeadW.^ d ZMCaVdIew KwDiqtThr JIVnVf^iPnuiWtze XAil\g_eab]rwaK JT. - Worksheet b Kuta Software LLC

2 Graph each Absolute Value Function. ) = ) = State the domain, range and end behavior of each graph. ) ) ) ) Find the discriminant of each quadratic equation then state the number and tpe of solutions. 7) - + = 0 ) + - = 0 d Yv0KE] ^KNuwtaI KSroCfjtHwQagrkeU vljlqcc.e t kadl`lm craisgahjtrsi NrMeOskedrbvFeAds.A n qmtald[et lwjiqtihg QIznFfrianzijtRep oa_lggberbzral XI. -- Worksheet b Kuta Software LLC

3 Solve each equation b taking square roots. 9) - 7 = 59 0) = Solve each equation with the quadratic formula. ) = - ) 0 + = Solve each equation b completing the square. ) = 0 ) = 0 Solve each equation b factoring. 5) - + = 0 ) = 0 Graph each. Be accurate! 7) f () = -( - ) ) f () = ( - ) L Zl0mnk TK`uVtVan asto^fztywiaqriel jlslrct.f I `AflVlg Wrqifg[hRtgsE ur\egsiewrmvexdj.q X WMCacdceI lwwigtnhk HIInufliznKitLes JAzlvgQePbarBai NZ. - Worksheet b Kuta Software LLC

4 9) = ) ( - ) + ( - ) = Use the equation below to write equation of the circle in standard form. ) = 0 Solve each sstem of linear and quadratic equations using our graphing calculator. ) = ( + ) - 5 = - - ) = - = + Sketch the graph. Find the local/global min(s) and ma(s). ) f () = - + 5) f () = P W`0eCP ZKFuUtIav asrokfrtvwmaerhek slulick.q p AOlElR SrJiZgThDtHsU lrlebsuedrtvkeydn.q [ MLaGdne^ nwbiatfhz hipnafdiznvi_tjel daaljgdefbbrgas OS. - Worksheet b Kuta Software LLC

5 Sketch the graph the function using the -intercepts and end behavior. State the zeros and whether the are crossing or touching. ) f () = ( - )( + ) 7) g() = -( + ) ( - ) Simplif. ) (- - i) - ( - i) 9) ( - i) + ( - i) 0) ( + 5i)( - i) ) (- - i) Simplif each epression. ) ( ) + ( + 7-7) ) ( + + ) - ( ) Find each product. ) ( + 5)( + ) 5) ( - 7)( - - ) State the possible rational zeros for each function. Then find all zeros. ) f () = t UG0AlS rkguateak as`oefrtnwatrwew HLGLqCu.F G lanlllv vrtidgohutsso arie\srecrevzeqdh.h v wmiabdten SwhiutThn DIinQfmiVnFi^tjeY CAWlTgIe\bvrvab [N. - Worksheet b Kuta Software LLC

6 Factor completel and find all the zeros. 7) f () = ) f () = - 5 9) f () = ) f () = 5 - Use snthetic division to write as (divisor)(quotient)+remainder 5) Quadratic Regresssion 5) The time for the fastest runner in their age grooup for the Marine Corps Marathon are shown below: Age: Time (min): Find the quadratic equation to model the given data. Predit a 5 ear old running time. Write a polnomial function of least degree that has the given zeros. 5) 0,,, - W QI0Xph vktuhtaj sshoofatywoarrmej mlrlvce.m G iailolc hrhiqgeh[t^si OrNeAsCe]rvvKeRdv.i b SMeaId_es qwei]tehz licnwfxicnzittsen jajlhglefbirpai lk. - Worksheet b Kuta Software LLC

7 Answers to Review for Midterm Eam ) ) ) f () = ) Yes 5) (,, ) ) {, -9} 7) No solution. ) : 9) reflect, compress, up 0) stretch, left ) - 0 ) ) D & R (-, ) f () - f () - ) D & R (-, ) f () - - f () 5) D: (-, ) R: (, ) f () - f () 7) 0; one real solution ) ; two imaginar solutions 9) {0, 0} i 5 i 5 ) { + 5, - 5 } 0) {, - } i - i ) {, } ) {, } 0 0 ) {- + 7, - - 7} 5) {7, } ) {5, } 7) ) 9) - - ) D: (-, ) R: (-, 0) f () - - f () - 0) 0 Center: (, ) Radius: ) ( + 7) + ( + ) = - - ) (-7, ), (-, ) ) No solution. P mv0ius KAubtraq VSDoHfotKwHaEroeF jlblkcz.r M WAMlJlm eruiagthztfsg zr\exsnejrjveevdo.a n JMXaYd\eL tw^iltqhc JIjnKfJiun[iYt_ev HA]lVgceTbjrMaR `A. -7- Worksheet b Kuta Software LLC

8 ) Ma # Turns: # Real Zeros: Minima: (0, 0) Maima: (.,.) 5) Ma # Turns: # Real Zeros: Minima: (.,.) Maima: None - - ) zeros: 0,, all crossing 7) zeros:, both touching - - ) + i ) -7 - i 0) - i ) + i ) - + ) ) ) ) Possible rational zeros: ±, ± 5 7) f () = ( - 5)( + 5) Zeros: {5, mult. } (5, i 5, -i 5) ) f () = ( - 5)( ) ( + 5i - 5i ) 5,, 50) f () = ( + )( - )( + ) (0,,, i, -i) 5) = R = 0.95 strong positive correlation minutes 9) f () = ( + )( - ) (, -, i, -i) 5) ( + )(5 + - ) - 5) f () = [ wy0dpd ukbudtyay DSqomfhtPwdaFrNeP dlrlnc^.d S TAJlKlr IrSisgPh]tpsq crnemsder`vmemdd.s ^ MMzaKdpe[ ewvi_thhp I\ntfPinuiftveb GAalogRegbVrzas qi. - Worksheet b Kuta Software LLC

3) y = -3 x y ) n - 3 = -83

3) y = -3 x y ) n - 3 = -83 Algebra Honors d zy01e8_ RKRuItwao lsrosfrtawdaarbeg NLCLECK.i V KAflTlv orizgghjt^s YrYeesQedrev_emdK. Midterm Stud Guide Regression Name ID: 1 Date Period 1) a. You create a new website. The table below