Name ID: 1 w P2l0Y1e8J ckguftlai KSxomfyt_wEaWrDec [LrLKCX.I k IAblYlq CrQiagZhDtssB grkegsrecrzvvejdt.

Transcription

1 Algebra Name ID: 1 w Pl0Y1eJ ckguftlai KSomft_wEaWrDec [LrLKCX.I k IAblYlq CrQiagZhDtssB grkegsrecrzvvejdt. Unit 1 Stud Guide State the domain and range of the function shown. 1) {(-3, 5), (-1, ), (, 0), (9, -3)} ) State in set notation. Date Period Use the graphs shown to state the domain and range in interval notation, state the end behavior, and state the intervals of for which the function is increasing, decreasing, positive, and negative. Also state an maimum or minimum points. 3) Domain/Range (interval): end behavior: increasing/decreasing intervals: positive/negative intervals: maimum/minimum points: ) Domain/Range (interval): end behavior: increasing/decreasing intervals: positive/negative intervals: maimum/minimum points: K Jo0P1Wj CKaudtwaR PSPo[fdttwBabrSeV kldlgcn.p N dallgl` srqingvhztaso Arke[sVe^rQvzeidt.l K smpa\doei PwWiJtFh zifnkfkifnlistmeg oafllghecbwroat sz. -1- Worksheet b Kuta Software LLC

2 Solve each sstem as indicated. 5) If f () = and g() = + 1 determine the point that satisfies the equation b graphing. Write the solution to the equation here ) If f () = -0.5( - ) + and g() = determine the point that satisfies the equation b graphing. Write the solution to the equation here ) If g() = 5 + find the average rate of change for g() from = - to = 5. ) For the graph of f () shown, find the average rate of change for f () for the interval of {-3,0] f vf0u1jh QKHuYteaf js^orfftrwoawrcem ]LHLSCV.` B daqlzlf nrrihgnhutqs[ prgewshezrfvtewde.j X jmra\dke\ HwBitGh` QIMn_fgiRnZiYtXe DA[l_gceXbkr[ap is. -- Worksheet b Kuta Software LLC

3 9) It takes Sarah an average of 0 seconds to run 00 meters. She runs at this average speed for 1 minute. Write a function to model this situation, graph the function, and state the domain and range in SET notation ) Write g() in terms of the related graph f () after graphing g() using the indicated transformations. a. Shift f () units to the left. b. Verticall compress f () b a factor of 1. c. Verticall stretch f () b a factor of ) Determine if each function is even or not. PROVE algebraicall. You must show work for credit. A) f () = B) f () = ( - ) C) f () = 3 + D) f () = + 1) Determine if each function show is even, odd, or neither. A) C) -5 5 B) ) Graph the function. Determine the domain and range in INTERVAL notation. f () = r p0k1ze ek`uitaag ts[o\fvttwfa`reec ZLYLSCe.A m taslxlo Pr\isgUhztvss Ir[eIs^eTrjv^eUdg. _ AM`avdFeB WwPi^thp pitngfuiwnwidteec oagluglesbjrzaq N. -3- Worksheet b Kuta Software LLC

4 1) Graph the function. Determine the domain and range in INTERVAL notation. Then state the transformations of the graph from its parent function f () = 15) An absolute value function has its verte at the point (, 1) and it goes through the point (1, ). Write the equation of the function in transformational form g() = a - h + k f () = ) See #0 on pg ) Don't forget about linear regression!! Solve each equation 1) n + = 19) ( k ) = 0 0) 5 3 p = -1 1) 3 p = ) 3 n = n ) = ) Solve b graphing = Solve each inequalit. 5) ) -9 -r + < 5 7) r < -33 ) -7 + v - < -5 9) #1 pg. 97 B s0t1fb DKbuatpaf vssoufjt\wja]re] tlflicd.d G QAOlBlk wr`icgihutas[ ArIeBsae^rhvXeFdt.` W emiajdreh woitthhd IHnzfji`nCiEt[e[ natlfgzegbjraak lq. -- Worksheet b Kuta Software LLC

5 Answers to Unit 1 Stud Guide (ID: 1) 1) D: {-3, -1,, 9} R: {-3, 0,, 5} ) D: {I ³ -3} R: { I ³ } 3) D: (-, ) R: (-, ) EB: as - f () ; as f () - ; Inc: (-3, -1) Dec: (-, -3) and (-1, ); Pos: (-, 1.), Neg: (1., ); Min at (-3, 3) Ma at (-1, 7) ) D: (-, ] R: (-,.5] EB: as - f () - ; NO EB for other side; Inc (-, ) Dec: NONE ; Pos: (, ), Neg: (-, ); NO MIN; Ma at (,.5) 5) (, 3) ) no sol. HINT: distribute -0.5 for f to make f = ) ) 3 9) { t I 0 t 0} { d I 0 d 300} j Y^0p1hz ukquntram USdoefMtdwUaYrCeG \LlLUCK.O l JAGlplo PrLi_gnhNtMsw `rpensrezruvieuds.f Y SMpaIdzeY jwuijtfhh kiknrfpihn^i^teey aa\lqgeebb^rpaw [r. -5- Worksheet b Kuta Software LLC

6 10) a. g() = f ( + ) b. g() = 1 f () c. g() = f () ) D 1) A 13) D (-, ) R: (-, 3] ) D (-, ) R: (-, 3] ; shifted left 1, reflected over ais, verticall compressed b - factor of 1, shifted up ) ) 17) 1) {-, -10} 19) {3, -17} 0) No solution. 1) {-1} ) {-1, -19} 3) no solution X gk0y1yw skiubtjar rsxoofntnwoa\rmei SLQLVCB.w S GAYlWli OrwigRhBthsa NrdeQsMeSrvzeUdV.E [ _MRa]dBe ]wuiwtchh GIUnifQiWnSiTt[eS PAl_gwevbrEaC ZN. -- Worksheet b Kuta Software LLC

7 ) (-3, -) and (3, -) 5) ³ or ) { All real numbers. } 7) No solution. ) < v < 10 9) h `X0s1^s pkkuhtrap RS`oCfctowkaFroeQ FLhLZCC.^ P CAulflC drwiagehmtesw FrZe_sceUrivre_dE.n U ]MMatdhev Bwiidtuhs DIpnJfuiInniEtIeQ BAQlTgveFbqria_ zq. -7- Worksheet b Kuta Software LLC