HW_sol(23)

HW_sol(23) - +l ix; -. loo /m U Student Name: I prim; .. m....

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2
Background image of page 2
3
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
4
Background image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: +l ix; -. loo /m U Student Name: I prim; .. m. (ht ' “EL/m 9 Sections 2.5 (Due: Tuesday, 09l0 ) _ . 1",‘C/agi HOW VJOF K “I C‘Q\VCL\lS lLQXi’ V‘lm Description: This homework emphasizes the graphical and mathematical definitions of continuity. it is important to know when the function is discontinuous and how to apply the intermediate Value Theorem. Show all work to get full credit. 1) If f is continuous on (-00, no), what can you with certainty say about its graph? (Select all that apply.) The graph of f has a hole. .The graph of fhas a jump. i The graph of f has a vertical asymptote. IX None of these. \/ 2) From the graph of f, state the numbers at which f is discontinuous and determine whether f is continuous from the right, or from the left, or neither. _'i (smallest value) \/ continuous from the right continuous from the left X neither \/ x=" “1 / continuous from the right x continuous from the left / neither X = \/ y continuous from the right continuous from the left Student Name: y continuous from the right 'v ' continuous from the left neflher 3) From the graph of g, state the intervals on which 9 is continuous. (Select all that apply.) A ’ (-w. 4] ' (-m. -4) ' [+21 [-4.-2) / [-221 (-2.2) [2.41 [2.4) [4.61 (4.6) \/ [6.81 (6.8). [8.m) (8.00) TYWWT‘X “iii jj‘fl 4) If f and g are continuous functions with f(3) = 4 and the following limit, find 9(3)- Student Name: 111713.: lfiJ'} — yin)! : T ‘27 L’l — ark-‘3 3 7 \/ / . q \/ ' 19‘ {'6 *3;37):7\/ 5) Locate the discontinuities of ét/he function. (3 i i q \/ u ,x i = V {g v 1+ (3 . - 0 MW J 7+ r" ’ k ‘ I I! — I . IO— / , )4 o if; sz) =37 wae3<mci —) é Wuhémc‘ 6) Use continuity to evaluate the limit _ -1 v i a .w lim : ~:—, _E 1 \/ (i Q.) Lm :gflvbv 72 t-1 3H" "t r " f 7L.— _ - .«k\ Kid/7"?“ I L .A ‘ 57 I I L; I I‘, Lorduwaug. Oat __ 7) Use contrnurty to evaluate the limit. - I!” fill? (Shaw) J19 acn‘hmwsm (—00.00) =>st" :un'iimi “u 0 (bume i #60 3111(X—i'5nnx) :3 : km (ii‘t H11? '5 irih‘fim; 8) Find the numbers at which f is discontinuous and determine whfiher {is——T£m:3'_'—"c a = _ I L air-1:” Modal grunt—x fix) {:35 ifJ' 3'2 H ‘ V ‘ ' *1: i mnirnuouz. at x: O?‘ 1;.“ to): 8—0: x, Um _£(x) =i+o€®, grog x~> 0’r K40 (I continuous from the right :3 3‘ is um’rinuoua “Hm i=3}: D _ ‘7‘ continuous from the left \/.*.13 » mn‘hmuu; ed x: 82 " neither ‘m,r tax AIS-923(5)? L$mgpfll):g—X©, 35%):@ 9) Find the numbers at which f is disconti‘nfigus and determine whéther f is.\ .=) x5 mafinuouy> continuous from the right, or from the left, or neither. .r' -+- {3 if .r' -::I U _ a rm = w 11' n 5. ..~ J $0 hf 7.! ilflr 7:: I X: O (smallervalue) \/ at X=Q fl . _ 4% lg Wd‘Moug a} x = Q 1) F continuous :rom t:e {rim \/ \m (X) __, L0: Lm 2 014, = Q, ) gm) I! contlnuous romt e e x_) 0+ K 4 OF ' neither I ‘ ‘ I ‘ é l3 digcon+trwcug (fit 0 (I a) LVN.- clot?) x=.[ \ (Iargervalue)\/ mt and). Hnwwar, i jg mnfixnjfiig [A He ha H 64f o . continuous from the right i continuous from the left V 4% lg Con+\Y\u-Cd3 cht x : i (Z . ' ' _ , m - ,1 , $2th Ms Eigeer : , i(fl):@)) HA) _ i r o‘iEamfim- a} _i_ _! (7r)c\o_c1 rm“ exist a wax/or, is éNi'ENIOUS kit Lil‘s \ Kati] _ Student Name: r- . neflher a 1d)-\For what value of the constant c is the function f continuous on -m, m)? ~ H H : { rag-3 + ;$.r if.r <13 Alfl is mfi]mw3 on (_ 00) 5 U ( 5i+ob) ‘ ' ' .r‘ W rar if .t' 2 £1 M T X z 3 wt _ To _‘ 90“ *wuvi & , ‘ I c=| :lob Liijx) : Lt.qu ugh) :__f(5) => (:6 + f) -: 21_c.3> -= 214.5 , X432- 7“’3+ = C3c+9 : Q}-3c =5flzczlg’ 11)) Assume that f(1) = -5 and f(3) = 5. Does there havet be a value of x, Between 1 and 3, such that f(x) = 0? Pica-cabs} "on: ln+ermycknflfi Vain (TEMM, i L1G}; “loo L2 Can"\m»0M cm E M «(hr—k1: 86:8 ates 4L “me if >< 19mm 4. mi 5) . (INCL “Hat : O . 8c: WE donut L'xhgu‘a ‘IIDOQJT wn'x’lwéha (5? LE) WC. (la/arm": 8&3, admit walk“. X.- ...
View Full Document

This note was uploaded on 05/23/2011 for the course MAC 2311 taught by Professor Noohi during the Fall '08 term at FSU.

Page1 / 4

HW_sol(23) - +l ix; -. loo /m U Student Name: I prim; .. m....

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online