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solutionfinalB

# solutionfinalB - @NOTE Be sure to bubble all the answers to...

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Unformatted text preview: @NOTE: Be sure to bubble all the answers to the questions on your scantron. The exam is worth 108 points, so you can earn up to 8 bonus points. Part I: 2 points each 1. Which one of the statements is true? (a) The US population 18 (reughly) 3 O2 ><_10‘8pe0ple._f{3 , ‘5 E (blill :'3 4? Lugégégl.“ UTE-3:! Madge; (C) Wzscfor all'real numbers 33le 6“ “a; WE 43/2:§ \g/ 9.73;}: \$3.3m"? =35 2. Evaluate \/_- x/— ‘ :- P‘E".;'"7g"?l; as? W w @m w a (b) —4 (o) 47: (d) —41' 3-. Evaluate e+7r 4 [e _— Ti". 1:; e, H? w ‘ (Twas) a. 29 + 27p I e, a“? ''''' We 5“” b. 26 ~—27r ‘ ' .3 2.635,. @2e ' d; 27? a 4. Rationalize the denominator: M2— “0,“. 2» N33“) . ﬁ—l {W W})&’§?¢§) '9— Z V? + I) 3 — l 2 NE" 4 E.) 2; . ‘0‘: JET"? + E 5. Which of the following functions has horizontal asymptote y z 0? \$2 ' I a f(3: ): 2:2+1 I’LWWMEJ ﬁg?”"1?""lmlﬂ <5? ”‘2 3:» b- f(\$ ‘7 :+3 ha iqgiikéﬂﬂ’gti}..{ A! Elvis-“1r 56w? (Mé; (as dﬁé mg: ﬂ{.,.v-riﬂ;rciffm3r . \ ‘ . ‘ l I . 52L '\-.._¢l§¢ r~4\‘.v5’é‘if’ C. f(\$) I 33 he I4_csr3g¢,m4m_f (:33wa u-fmfg: {PM ﬁxwfin :,7ﬁalw m are ) ) . 6. Which of the following statements is not true about the line with equation a: + (91:0? - g was» w x + C) aIt is perpendicular to the line y— — m ./ b. It has slope —-1..(/ _ c. It has y-intercept y -= 0. f .It intersects the line with equatiOn :1: + y = 1. 7. Let ﬁx) 2 352 4 4 and g(m)= \/_ Ihen what is true about f o g? WW _0LC>MQ_Lr3 i X ‘I?/® (f 0 9X51?) M .7: »— 4 with domain [0 00) _ '- 13 (f OIQXBZ) : :2:"—"4 with domain (—oo, 00) . +£6.34 (1.4)) ”i“ f”: 3K?) 0- (f 09%”) 2 m with domain (4oo,_—_2] U [2: 00) ' . “e- V'SQ’E'T rm ‘5” d- (fog)_(:v)_=-\/:Cz_l——4irwith domain (~—oo,o'o) : X _... 6g: _ ' 8. Which of ' the following functions is not one—to—one? _ 9.. Which of the following equals 0? , g I My? #9542an 1553“?" aﬁﬁ,75?}«.c:% at! _ : ém[_2..3i}—rr-.£a(i} 7;: {:3 F or Questions l0 through 12 consider the following graph of a polynomial function f: 10. Find all zeros of f, and determine-if it is Of even or. odd multiplicity. a. —3 (even),‘0 (even) b. —3_ (even), 0 (even), 2 (even) c.--—3 (odd), 0 (even), 2' (odd) (even), 0 (even), 2 (odd) ' 11. On What: open intervals is f decreasing? a. on (—3, -1)' and-(0,1)i'only 4 b. on («—00, —3) and (2, 00) only C. on (—00, +3), (—1,0) and (2,300) only ® on (Moo, —3_), (—_1,0) and-(1, 00) only I 12. According to the number of turning pOints of f , What is the minimum degree of the polynomial f? I A 7‘ ‘ . 1”“ a" 2 number-c of “fetcmé’iiwg Emma}: : “2‘4; e de race, “‘2’ Part. II: 4. points. each 13.. Ifa : —2 and b: 3, evaluate ' (12—345 hurl) *3 3 —|a-bl “— [-321 we! 13 _ '8“? -' mm ...."'"§‘ .9, .b-—5 . ._;__§-g “‘5' C1.- 13 -_ ' .1 e. —1 . 14. Solve the_inequalityl2—3:v|<5 _—-\$"”e:: 2,—3'K 5 S” .a--(*§a*) '_ . t“?<~ “3% *7: 3 'b. (—oo,—1_)U 3,00 A - . ' 7(3 ) L2} X > 3%“ C. (—00, 1) U (a, 00) “*3 _ E3 ._ _Z ._1 d.(.00,3)U( ,00) g? .X :3”! @(—L§) 15. Simplify the expressiOH (33 and y are positive) 16. Find center and radius of the circle with the equation 23:2 +2312 —82;~+20y+ 40 z 0, in"; a. centerI(—-4,1IU) and radius 2V5 '8’" Jr g; ‘- ‘f-K + 3.3% , flﬂ "#0 I '21} b. Center (— 2 ,5) and radius 3 I 25‘fo .- +32% {9% = ”‘20 1”“ @center (2, 5 and radius 3 x1“ 9x ML- ..,e.. 399,1 jog-aag- :3: -goiwa; 623*" H ) (1. center ( 2 ,5) and radius 81 (X ‘—- 2.):— + Q + 5—) ."- ) . I e. center (2, W5 and radius 81 17.. Simplify the expression 4:318 _2x ——2zc+4 ' 3:23 35t2+x-10'_6:1:—1.0 a. % 3) X351: 33") (6X ere) 233+4)(3a:— 5)2 ' 23’ . b' I \$2—2m+4 sterLf (3x + >6 wits) (’x, 21X + %) 33:2 I atewgf . "'32, 18. Simplify the expression 33—2 + Eli-2 j; if: 22 y 5 '6- . y + 2: ’ x a. my . _, i g“ 352 I! f b. my ” x3 -i )) ° 3:4 - *— x c. 5; _ 3 g + <10; 3 @L . . . - L . a 2. . . . . . :2 . 3?». +4 x- __ EL_¥X_ .. l [C .u e- —y - X? r W - ”W x if) at ' 19. F ind the solution Set to the following equation: _ 3 W —2 _ E I I Efﬂnaaﬂf‘ﬁécgmf"- .' '_ X # O _ 932 m _ b.{2i:¢§} ' _' exam~ex‘w.3 e<a _ e.{4i\/—z‘} Km 5/» iffwlmi‘fﬁ? arm/MM? ' a 2,; - _‘ - f. = _a{1i§ i} ”w . _ _ - - - :- (ff: Wm? 5+er Liv/W- _..{2:tf} _ , W-- M. if T 20. Find the value of It so that the line through the points (—— 2 3) and ‘ (k 1) is perpendicular to the line 2:1: + 5y— — 1. @k:_5 14 51/0936: 4761:”! A”: _. [N3 '2 «a; 14 - , k ”‘ (‘1) ((192; ' b.k=3- . 2‘ . ',m3Kai“‘Z— 5 garages! ma : 5g ‘3 I‘Zx {13¢ -— 5“ a?” c. — —. - . a 5 . I u b ”m £5 ak:_g. . -5%e= a_ V ekzg % wag w I' a _a&£§ M¢ g “av «Main 3,, 5W3? 21. Perform the operation and write in standard form: 5+u10i 3—m _ agh& kwwlﬁwa-g_ir+m+mrgmﬁ .3 we; (3&4) ' 32. + ‘2.““““”"”“ " b —1+82 ( _ ’1‘ r - ‘2' C. 7+8i :m. = I “S“ '3” VOL: , 9 + ‘f ’3 L7n re a; r ya: e. + z . E” .+ “£5, 22. ‘Whioh of the following has/have more than one real solution? 'P- 2x2+4x+3:0 discn‘m'imw a 4M. /6 maps <0 W2: m, we! nefm’me wry #13,? W we mm} . E . .5?“ Q, g m «(#435, M“? Q. { —4x.+ 23; :4. ’ - ' . (72 Mgﬁaifmei: if R- '1_|33__'1l:'_1 cm 3“? ix-” (5.4:; xw'iwam M-x-af mm}. X - :: 3 car 31' "-1-“! cl. P and R only 0Q and 1% only - ' _ 23. Solve the polynomial inequality \$4~x2<0 _ _a '3 I) 3«-(— 00 —1)U(1 00) Xgmxa 5;" xa-‘(XLWQ e» g [gag-ab!) (xv ’0 U 0 amﬂiihnni ﬁL;_WQQ‘M3W E: 00;:0) ( 00) hiri‘ineuuié‘aMJ ,1 J 2“ I é’ @H 9(w 24. Let 2.3% we»; 413(2) a; wag“ a ”9 Wing 53.5% a?" ‘. mu} .. re); s _ 25. Which of the following statements is / are true. of the equation y?” —i— a: — 4 = O ? P.“ The graph of the equation is symmetric with respect to the ac—axis if” Q The equation deﬁnes y as a function of :12. rm ' gm“- iguwg“? R. The equation has :1:— intercept 4 and y—intercept 2 only. as. only " b. R only CLP and Q only. . - ' d. P and R only i e. IQ and R-only . 26 The demand function for a certain product is given by p(m )— H 60" ~ — Where p is the price in dollars and m is the number of products sold. How many must be sold to maximize revenue? J a. 30 r mvcauﬁ. : £(x) r: X Webs) was. vaiéﬂ'”§‘si> _b.40 - ' . _ 9,5; wig-xi... 'Ld'éjﬂéi 0-60 V3116" " A "I iii—’- 3 wbw «.2 30.3 '= 90 @90‘ (M) 2‘“ 2H) e. 120 7 £55.}- 90(goég as) ... aogso 22.2309 'Hems. 74:; £5: Said (to Maxi‘mfeﬂ rajvenuiﬁ) =4 23% 9 27' WhiCh graph best represents the function a gem .- x = ml J, a; a 172+37‘? IK(X.'?‘!) x:‘-»2_,x:2._ \$2 — 4 I w 60-2.) (Ag—kl) who/es: maﬁa. ‘Hor'r‘ténﬁf aeamguééatﬁ ‘. ﬁaﬂﬁgii ﬁx) —‘—~ go”. Mat; aim mmgfczﬁes I ﬁne. 3% as. : 10 28. Let f(:l?) = i — 3'. Which of the following "statements is/ are true? P. f is one—to—one. ' / x Q f*1('rv)-=\$ 5/ R. f‘1 has range (— oo ~3) U (~43, a. Q only 59‘ '5 b. P. only ' , ® P and Q only _ '% 15:.__uww._5w leQandR “m ' . . l ‘a': ”‘m "‘j“ “-5 “-5 . e. Q and-5R only \5 . _ 29. An ob ject is thrown verticallynpwards at an initial speed of '00 i 32 feet per second and from-a .hg : 144 feet tall'building. What is the maximum height above the ground that the object reaches? r Hint: Use Mt) z —16t2.+v0t+'h0. e 4st?“ 1*— 3H‘ t 35"?” r4 lm'l‘t 3 g: "MW-‘2‘: “223%: 5:" 92\$ _ a. 208 feet . “PK é ) t: .15 5.5.55} 33%"; ” i _ b. 192 feet. .- £5 5 .{A 55 5;“) _ _ @160 feet _ _ 57 {g 5-5;? 5 33%.; .5- ;W» ’ d. 144 feet ' .5 555 5 55555-55555; 55.55545). e,’ 96 feet , . - ' -' 55 33—1 7 2x44, 30. What is true about the function f (:1?) __ 325\$? .55 m3} P. Its graph. crosses its horizontal asymptote. / _ 5 5951550555; 55 55 5555‘s}; gﬂ {53 {\$3.45 @6555; numarm‘ftae’ Q It has a horizontal asymptote at y_ — 0. 5/ K deﬂate Wmm‘mﬁ) .R It has a hole 1n its graph. 42 5‘51 7 _ 5 germ : 5; g 5! _ . a P only a) \$5.5) :1. c3- : F.) 1.: Me” b. Q Only 5F . n he; Cﬁpﬁl’ﬁﬁn ”LQWKL 53: C“ P’ Q and R humeral-in? meet ﬁéuefﬁ'mw and Q only e. Q and R only '92:“? an 55?»? I (2. ﬁfeisa ' 31. The solution of the equation hes 1n What interval? {112‘}; ' 13 {few 2%} %e L ‘ i 6:: M g a. [“152—53 we? ee: we :5; 3m} 33 .1 41* ,' ,_ . dd} ”1-.- 94:13? .95: 0) 1 t- C. a wax we *3 w ‘7 N - ““ E" d._[5,15) saggy; ",3 g e. [15,100) A mi 171’ 32. Which one statement is true about the function f (as) 2 1 + 3—3:? a. It has domain (—oo,0) U (0, oo) {3 : ﬁgmagm {(1%}.35) 1). Its graph has a verticai asymptote. { c.1t is increasing {3 3 01. Its range 1s[1,.oo) {3 mhau‘. {am} "@113 has y—intercept y— —— 2. y” {(0) ﬂ {fig 3 {we 2“ ' _ 33. Find the expression which is equiiralent to a W ' e“ e“ "e (2n_¢<ee).1¢a(w2)) - b 3:— 5(1n(:1:)+1n(:1:'+2)) ' E x .1 (ﬁéma .1» ﬁnéeewwiiigjm c. 5“" _ -- I . \$5(m+2) . . ' = . -wew' W ,2, i we "at, “1‘2, d..3:—w51n(\$)1n(x+2)3 - f a m we at . ‘5' ”K ) ® :1? ”-51n(a3) —'1n(xr+ 2) Have a nice break! 12 ...
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solutionfinalB - @NOTE Be sure to bubble all the answers to...

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