Math\t107-7981\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tApril\t24,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tApril\t24,\t2016. o This\tis\tan\timportant\tassignment,\tcounting\t12%\tof\tyour\tgrade. o Submit\tthis\tassignment\tin\tyour\tassignments\tfolder\tby\tthe\tdue\tdate. Answer\tall\tthe\tquestions. There\tare\t9\tproblems\ton\t3\tpages. o There\tare\t150\tpoints\tpossible. o Show\tall\twork\tin\torder\tto\treceive\tany\tcredit. There\tis\tpartial\tcredit\tfor\tthese problems. Submit\tyour\tassignment\tas\tan\tattachment. Under\tno\tcircumstances\tshould\tyou type\tyour\tanswers\tinto\ta\ttext\tbox. SHORT\tANSWER\tQUESTIONS. (42\tpts\ttotal,\t3\tpts\teach) 1. Refer\tto\tthe\tpolynomial = 4 + 2 ' 1 * ' 9 . (12\tpts\ttotal) This\tfunction\thas\tfive\t(5)\tzeros. Complete\tthe\ttable. (10\tpts) a) b) c) d) e) f) 2. 4. Multiplicity Determine\tthe\tdegree\tof\tthis\tpolynomial. (The\tanswer\tis\tnot\t\"3\".) (2\tpts) Write\teach\texpression\tin\tsimplest + form. a. (1 3)(8 + 7) (3\tpts) (8\tpts) Solve\teach\tquadratic\tequation. (15\tpts\ttotal) a. 6 ' 13 + 6 = 0 b. 4 ' 4 + 17 = 0 (5\tpts) (10\tpts) '67 '8*7 Determine\tthe\tend\tbehavior\tfor\teach\tpolynomial. Refer\tto\tsection\t3.1,\tpage\t240,\tfor guidance. (10\tpts\ttotal) a. = 5 * 6 ' + 2 1 (5\tpts) b. = 6 = 3 ' + 1 (5\tpts) (11\tpts\ttotal) b. 3. Zero Math\t107-7981\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tApril\t24,\t2016\t-\tpage\t2\tof 3 5. Solve\teach\tinequality. a. b. 6. 7. ' 5 14 < 0 ?8@ ?6' 0 (14\tpts\ttotal) (6\tpts) (8\tpts) (28\tpts\ttotal) Consider\tthe\tquadratic\tfunction = ' 4 5. a. Graph\tthis\tfunction. (5\tpts) Answer\teach\tpart.\tYou'll\tneed\tto\tdo\tsome\tof\tthese\tparts\tto\tmake\tthe\tgraph.\t(Parts\tb and\tf\tshould\tbe\tparticularly\thelpful. Does\tthis\tparabola\topen\tup\tor\tdown? This should\thelp\tyou\tanswer\tparts\tc\tand\te,\tand\tfind\tthe\trange.) b. Find\tthe\tvertex. (5\tpts) c. State\twhether\tthere\tis\ta\tmaximum\tand\tminimum\tvalue\tand\tfind\tthat\tvalue. (2\tpts\teach) d. Find\tthe\tdomain\tand\trange. (2\tpts\teach) e. Find\tthe\tinterval(s)\ton\twhich\tthe\tfunction\tis\tincreasing,\tand\tfind\tthe\tinterval(s) on\twhich\tthe\tfunction\tis\tdecreasing. (2\tpts\teach) f. Find\tthe\t(, )\tcoordinates\tof\tthe\tx-\tand\ty-\tintercepts. (6\tpts;\t2\tpts\teach) Consider\tthe\trational\tfunction 2 ' 7 + 6 = ' . + 5 14 (20\tpts\ttotal) a. Graph\tthis\tfunction. Draw\teach\tasymptote\twith\ta\tdotted\tline,\tand\tlabel\tit\twith\tits equation. (6\tpts) Answer\teach\tpart. Each\tpart\tbelow\tshould\thelp\tyou\tmake\tthe\tgraph. b. Find\tthe\tdomain. (Make\tsure\tyou\tfind\tthe\tdomain\tbefore\tyou\tmake\tany cancellations\tof\tfactors.) (5\tpts) c. Find\tthe\tequation\tof\tthe\tvertical\tasymptote(s),\tif\tany,\tof\tthe\tgraph. (3\tpts) d. Find\tthe\tequation\tof\tthe\thorizontal\tasymptote(s),\tif\tany,\tof\tthe\tgraph. (3\tpts) e. The\tgraph\thas\tone\thole. Find\tthe\t(, )\tcoordinates\tof\tthe\thole. (What\tcommon factor\tdid\tyou\tcancel\twhen\tyou\tsimplify . (3\tpts) Math\t107-7981\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tApril\t24,\t2016\t-\tpage\t3\tof 3 8. Consider\tthe\ttable\tof\tvalues\tgiven\tbelow. Refer\tto\tsection\t2.5,\tstarting\ton\tpage\t225, and\trefer\tto\tExample\t2.5.1. (20\tpts\ttotal) x y -1 2 -1 3 0 4 1 3 2 7 3 6 4 8 9. a. b. c. d. Find\tthe\tleast\tsquares\tregression\tline. Give\ta\tverbal\tinterpretation\tof\tthe\tslope\tof\tthe\tline\tof\tbest\tfit. Use\tthe\tregression\tline\tto\tpredict\ty\twhen\tx\tequals\t5. Use\tthe\tregression\tline\tto\tpredict\ty\twhen\tx\tequals\t3. (5\tpts) (5\tpts) (5\tpts) (5\tpts) Consider\tthe\ttable\tof\tvalues\tbelow. Refer\tto\tsection\t2.5,\tstarting\ton\tpage\t228, beginning\twith\tthe\tdiscussion\tstarting\tthere\tand\treading\tExample\t2.5.2\ton\tpage\t229. Use\tmilitary\ttimes: for\texample,\t7\tfor\t7am,\tand\t16\tfor\t4pm\t(add\t12\tto\ta\tpm\ttime\tto get\tthe\tmilitary\ttime,\tso\t8:30pm\tis\t20:30). (20\tpts\ttotal) Time Temperature in Fahrenheit 7am 35 9am 50 11am 56 1pm 59 2pm 61 4pm 62 8pm 59 11pm 44 a. Fit\ta\tquadratic\tmodel\tfor\tthe\ttemperature\tas\ta\tfunction\tof\ttime,\tand\tcomment\ton the\tgoodness\tof\tfit. (10\tpts) b. What\tis\tyour\tpredicted\ttemperature\tat\t3pm? (5\tpts) c. At\twhat\ttime\tof\tday\tdoes\tthe\tmaximum\ttemperature\toccur? (Hint:\tBased\ton\tthe data\tyou're\tgiven,\ta\treasonable\tguess\tis\tthat\tthe\tmaximum\ttemperature\toccurs around\t4pm. The\tactual\tanswer\tis\ta\tlittle\tearlier\tthan\t4pm. Find\tthe\tvertex\tof the\tquadratic\tfunction\tyou\tfound\tin\tpart\t\"a\".) (5\tpts)