Question

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4x6 6r3 Domain Analyses Asymptotes: Vertical Horizontal Slant Intercepts х-int у-int Symmetry (Even/Odd) Continuity CALCULS Stuff 1st Derivative FDT Matrix Intervals Sign ot x) Interval Conclusion Extrema Conclusion (s) Differentiability Range 2nd Derivative SDT Matrix Intervals Sign of fx) Interval Conclusion Inflection Conclusion (s) Concavity Extrema using 2nd Derivative at 1st Derivative CPs

Answer 1

2+4XT6 GIven 6エ+3 (i) Domain 6エ+3 チ Domasn (-4U-) a)Vertical 6x+3 0 - a) Vertical ay mptota 6Ct 3 6 +3x y Co) Horizontal aymbto NONE (c) Slant amptot Cifi) Sntar casts: X intarcapts shan o っご +6=D Nat borai bla =O x-intar a No ne 4= $+0+6 =2 6) y-intor cabt shan a=o yintar copt l0,2) Civ) Symmatry -f00 -60c+3 Even symmaiyNoNE oad oymmafry NONE (V) Continuita: fundian iù ndよ dafinad at x= Thare fora function in ducanti nusu at x-- and continvau an intar tal (-,-) U (-)

Cvi) It deci (ative fca 2+4) (6x+3) 12x+24×+6xt12-6-24エ -3る6 (6x43)2 く+6-24 6(TRIC Cxt) At deri vative . C X40044 -2.S6, 1.s6 Gri) Sign -a.s -2.S6 S6 pooitiva an intar val -, -2.56) U (.S6, ) inar va-,-2.56)U (IS6, o (vir) Tharafora fcx increasing (-2.56,-0.s) U(-a.s, 1. S f'co Nagatira an intarval Thanafere fo dacreasing anintaral -2.56,-0.5)U (-0.s, l.s6) Cotical paints (ix) X -2.56, .S m alan o f'cx) far is locd maxi mum at x= -2.S6 fu to Roca minimu m at = .SS o Digferontiabilet not continuas at Sinca fo -thanafora toe i not differanttaba at x fee differentiabla an tha intarval

2.5642.5d +6 Cri) Range C-2.50 6 E25043 J -2.s6) 0-187 s)41S) C.s) 1.8T 6C1.56)+3 Range -, -0.197) U I.187, oA) 6 C0 4 (e13) (xi) 2nd dorivatre (2241) (643 (+x 2 C6x+3). 6 1 (63043)4 (2H)(6xt3) 6 (623) 12 Gx+3)4 122+6 +x+3 -12-12 44 so433 4306 (63)3 306 43) f"on poaitve tahan x Negatvia uahon x F"o o shan x> chan x xii) Snter val conduin "coo poaitva an intar tal -) anintar vel (-o,-) f Nagatire 4"coe) not dotinad at CxTv) Concavty: thanafera mflachan bomt - Concara up aninar va (-, fae) Concava doon an intar ual (-c,