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test 1 page 2 - 32 — 25 if 7’ 5(3(1 pt each Supposeflm...

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Unformatted text preview: 32 — 25 if 7’; 5 (3) (1 pt. each) Supposeflm) = z m 5 z 10 ifx = 5 (a) Does hm f (x) exist? If so, what' IS its value? $—>5 Litrwzmi 9"” 143%: xéSC¢+s).-_E - (b) Is f defined at a: = 5 ? Ifso, whatis f (5). _ continuous at cc = 5? $83 = (4) (2 pts each) State where each of the following fimctions 15 continuous at + 2 “(x + a) (a) f(x) = 7:38 — 5:53 +3x+9 (h) f( )= x $343" X #35623) Co n‘llmuLouS Euegwlwre Con InwauLS UPON fir? Exc P 1" oi - o —- 3 + (5) (2 pts.) (True or False) The Intermdiate Value Theorem states the following. Suppose f (x) is continuous on the closed interval [(1, b] and N is any number snietly between f(a) and fan) where fla) 7E f (5) Then there exist at least one number c: in the open interval (a, 5) such that f(c) 2N. ME 1mm (6) (5 pts.) Find the derivative 3" (3;) of the fimctjon f(:1:) = 59:2 ~ 2x + 3 using th_e definition. Showwork. 2.. ? 4/00: M ¥C1+:)—'¢(1Q:gfl'f 5(x+fi)-g(x+:)+3—Csxiax+3) “fix-39 .._ fl' 'JE ,5;|09c%+5% —M’1‘E\+X,WZ+MX «in—ho L '1’“, JJ -Q_ tox‘aa—S‘Bt afi :4.-—>o —— Sim—1' iL:wa—§__t__—'E‘= ‘95 M on+$‘B\— :- “iv—ho {1&0 C a) (7) ansider the eurvey— — E? V— ’— i F NHL! w (a) (4 pts.)Find the GELuatéonl Ofih‘: (b) (2 pts.) Find the values of tangent line at the point (2' — '1). xwhere the tangent line hasaslope gar-120) -('x-3)gu)_7<-__l_____~x+3 of 5? 58.]; R __ J_ La: (ac—I)" D“cx-_ éc 0” 2" I ' ' .— 3:....5_’:___Z $.31 24%: @Cx'03‘i' gown-1:51 (ac-'1 (‘1 D *7“: slope. , =~>X=li1 ”Ft-"‘BWT'L La. F%_(—D=a(ac a) => M ...
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