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Unformatted text preview: - +---+-.."L-_b'- Quiz 2 Pledged M ath l lt 30 points Print name Time/date began _ -->..o'--- _ T ime/date ended _ You are t o w ork t hrough this quiz in one sitting w ithout t he use o f notes o r a nother person. You
need t o attach y our paragraph, " What is a function?" which is the last question.
1. Determine i f t he Intermediate Value Theorem applies t o t he situation below, clearly showing y our work. I f i t does apply, find t he x = c guaranteed by this theorem. (8 points) ( j),f ! ex)=_l- [0,2]
x+l i s l A.nde.hne& a:J-X-=-1 f n.J e£se.. 2 Inc../udtf\!j (O".2.J. (3)+£0)=1
'\ lhereJ'u..eJ:VTh I. 1" CJ - S· , And. Co + I --.::, Co \ C 4-1 ./ a.. ::. 0 < c...:. I <: =, '0.::. 2 . 2. Evaluate the f ollowing limits. I nterpret y our l imit graphically. (2 points each) Ij]ot> - V'3 =- tan ' :' 0)
x .... - 2 . · :t
PO\V'\(_{i - 3!r\ :-IT +0\ '1:: - 3" So _""Tf L( , ]I' :2 .., oJ :L -,,, ' S)
b) x
lim 1x- 11 'DNE
-I , ... HI -6f<J.) ::: . . t whi\e=..
.=. 1) s o o..t'"e )( - t.-" C x-4-)
c) ::: - ;;l
;<.-, oJ: =- -;;2 (1.j+':lH) J _ I
t.f 1 J rp .J25 - x 2 , X 5, - 3 < x < 0
3. Given t he followi'ng: j (x) = 5--E ,0 < x < 4 6
-x>4
x -2 ' Answer t he following: (8 points) a) lim f (x)
x -H =f§ X --.- 5 - == 0 e) Where are t he discontinuities? Classify any discontinuities as removable o r non-removable. 11 oJ: }-== '"1 5 Vn-CQ., X :: l.{ i 5 n&t \ (\ --rhe. &0vY\eu.AL {J/AdL
+eX)::: 3 ( & o .'oove'> Yll7Y) V.£7Y}ovoRd..t
-tJu. a::1:
-n.o:t -3
(b a ..f X =0 _
4. Attach y our paragraph, " What is a function?" (8 points) 5 J' n CJL X -== 0 is fCx> : : 0 Y\ &t l.N- i3.-tL (0.. a..'o0"'/€
-) .- ...
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- Fall '08
- BANG
- Intermediate Value Theorem, Continuous function, Darboux's theorem, ath l lt
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