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# Obj. 10c- 11b MAC1105

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This 7 page Class Notes was uploaded by Michaela Maynard on Saturday October 17, 2015. The Class Notes belongs to MAC1105 at Florida State University taught by Pennington LeNoir in Summer 2015. Since its upload, it has received 94 views. For similar materials see College Algebra in Calculus and Pre Calculus at Florida State University.

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Date Created: 10/17/15

Exam Two toll 5 More Obj 10c Give Domain only from the function rule We re being asked for the la set of real numbers that can be substituted in for g What prevents a value from being plugged in for 3 When might the domain not be all real numbers 531 There are only TWO situations gat limit restrict the values that can be used for x On 0 w h w V w 3 u c WQUVC For L W0 k quotdcr radical 65 46M Q unCtWY rulf dOCSVH vxvov t 05 thine than 0104290 Give the Domain f9 3x7 5134 395 923 3 52 17 ha 31quot 960005 Dzewlw a Di39 01 0 fx F3quot 9 have be poi 36 7 2 0 3x3 Some on line problems ask For f V33 7 select the values that are in the domain of this function I Wm M valu 63 SC 6 9 awg P Choices 5 6Q 39LUOY quot IAqu POS 905 W a quot dimrfi M 3 CaCuatc lOMOHn choo3e 3K730 322 7 valuf S in dode C 2 quot 73 00 Give the Domain fx c g 75 a7 34 0 3k 239 R Drr39w39 31 kquot 93 anan the vmw fb zor 5 that wound caut c du gOn 7 Give the Domain m E2 10839 039 50 x43 5 n93 g 7 domain 39 O V K 3L 3 TM 3 61 09 a K s ekce t K D 03gtU339 0gt 0R EblLfZE P 5 2113 3 Give the Domain fx cf39b v 3quot 39 quotRWa a p b37 i gt V I c 22 OR Shoo 1c LN M domm D EL x 2 22 Give the Domain fx 258 3 lagM 0 9 OOJQOB 841 No x1 Give the Domain fx 2 7 m quot LQ L Lo 0 2 D ogug3u3oo QC 4 za 0 0R Lgo K1350 31quot 1 Edna 2 U33 A K 4433 Give the Domain fx 2 7 x2x 1 K2A 50 Diik x i E k 006 0 0 D gimi or 6 4 Jig MOOQ Y 52 x UV a 763 36 Some online problems just ask Is the Domain all reals or not all reals When the denominator is Quadratic you can use the Wfrom the quadratic formula W to answer wean bL 1 C 0 31 Solvci 39 b1quot VZbE la I cc 9 2 K C Domain all reals f 3 x2 x 1 f n Ra baa Hac l i 3 ba Mac 1 Q l 394 mob a reals quotNo c quotan ream cc1 m2cc1 badlac lad H00 2 lfq 7 340 quotPm rcols Domain all reals f x 7 Domain all reals my 39539 m 5 W to 39HOC K 2440 7 gquot 3JcquotJlt5 39Not a reals k c a b c 43463903 pr 20 39Not all rtals Domain all reals fac Eff 3T6 fa 2 4 logMac 7 quotla9U 9 WI 9 t l aq 23 40 quot0H fecllS39 Domain all reals fa p xdkl x 2 a1 7 2 3JX2 3 go 039 xxal 0 0 0 6 2 gt 0 1C a V 0 LBC V C Ch quotNot a mob x 752 Dquot Elixiag 37 9quot9 1w Obj 10d Find information from and about the graph of a function There are several different types of problems in this Objective 161 Obj 10d example If fx 2 Q ZC CZ l iSthe point 31 or the graph of y fa 3 l YES or Is QC f a abA 32339 z 5 7 GM 0 Pomt W N W 3L 0h tm raPtx39 H M33 1quot 5 3 30 Obj 10d example For f 2 2 gig if f 51 2 what is x ml 29 6quotc 5 K 29 b 3 y Wl39xKTvSl 35 K 3 K 0 none of these 7 Biff quot7 a 7 x Obj 10d examples h For the function shown g 7 D graF For the function shown 3 4 O 8Y0 h for what 2 is f gt 0 W for what a is f lt 0 l3 above t 33 l5 below 10 Cum Lalm 3 233 Ll LD 9m 0609 x x U 00 Obj 10d examples For the function shown For the function shown for what 13 is fv gt0 3 7O 5 abovC for what a is fxlt0 3 A O a Y 3 m 5 5 b a m below L Cll lb x PMquot 3 3 HSn 2 3 a U 38 xO Obj 10d examples whev 3 3b7 S quot For the function shown 3 7 For the function shown Y a c if m 0 what is fv what N o for what x is fa O 6 eta394 130 3 U Yt PampJL Obj 10d example Answer the questions below for the function shown V f 1 is positive negative when bc l a 3 39VDOES not QHSt 0 55 f 2 is positive negative 64 15 tm asc mpw ce rhhe mevtv twang f 25 i negative unde ned f 3 Q f4 L How many times does the line 3 5 intersect the graph Mg Copyright 2010 present Annette Blackwelder all rights are reserved Reproduction or distri bution of these notes is strictly forbidden 39 Obj 11 Properties of Functions Obj 11a Increasing Decreasing Constant Always look if lll to ght as x values are getting larger The function is ac if the y values are getting larger The function is 66 C if the y values are getting smaller The function is C OY 3t if the g values don t change lllllll 35 45S 00 3 65 Increasing on 3 7 Increasing on w Decreasing on quotgt0 i 3 V 7 00 Decreasing on 39w Constant on Q Constant on kl Obj 11b Local Max Local Min A local man is a point Where the function changes from VC to 6 EC A local WY is a point Where the function changes from 60 to MAC Mt 5 a The maxmin IS the 9 Maude w W w l mun The maxmin IS AT the J Value 0va 5 7 MALm1quot An L V y R78 P2 4 xv Q24 For point P The local Maw For point Q The local Wmn For point R The local gt X is Ll is quot Ll MM is 55 what 5 We qrvalu 397 6 wmrc 3 t39 5 Wm The local mm is at a The local mum is at x j The local W l6 is at x l

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