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# WS 2(one) - Precalculus 1 Handwritten Homework Worksheet 2...

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Unformatted text preview: Precalculus 1 : Handwritten Homework Worksheet : 2 ———_*__~____ Chapter 2,3 Name _____—_ Math -126 Date Total : 15 Points The graph of a quadratic function is given. Determine the function‘s equation. 1) the) a (pm) 2+ 1t- Determine whether the given quadratic function has a minimum the minimum or maximum point. 3) f(x) = -5x2 — 10x \ M3 gnome WORK! mwm ﬂit“; bérG-Cﬁ’wi C£—~< O _ F — F) 2: -f'c ( :C I I _ I In: "\$.12— 0‘ ’ C) L [WSLXIWLL‘W’T’ P0m+ i P «to 1Ego: era-ﬁat — at?) :59 (#3; F3) Mrs Hestiyas Solve the problem. 4) A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 840 feet of fencing is used. Find the maximum area of the playground. h ‘2. A X ) : 20 -- LEE—X X A ) r .fqloﬂlm) l ( Ll 1 2 ) Z 1 ii x .4 L} zo X 2. :w “- 3L+3X2 Slfo Eiflqgml+ﬁggm . _b _ “U20 1L: wax- mQXimLkm (ma/1a )— h : /2,Q ‘ L : <gq09:3x 399-70—0731L : um 7" L: #20 r ix - '2 5) April shoots an arrow upward into the air at a speed of 64 feet per second from a platform that is 24 feet high. The height of the arrow is given by the function h(t) = —16t2 + 64t + 24, where t is the time is seconds. What is the maximum height of the arrow? A Z _ : (3k 3 -— it. to 1‘ L} C : 2 ti, ’ 2 c; '2 (was) lo : 2 him : —i Malia; t? H” 29 MO; Irma I: The profit that the vendor makes per day by selling x pretzels is given by the function P(x) : —0.004x2 + 2.8x -— 300. Find the number of pretzels that must be sold to maximize proﬁt. 2' ‘—l1— 6) Zr; Ox: eaoot; 13:28 C L ‘50"0 1" .: FZ’Q zit-“0mm 23150 Phelzels Complete the following: (a) Use the Leading Coefficient Test to determine (b) Find the x intercept. (c) Find the y—intercept. '" <to we h‘ i- (d) Graph the function. rang +0 (HAL and 7)f(x)='2(x‘1)(“3)3 (lb) X—inieTCaP‘kS ,' 0'30) Crosses X"QXI.S U, o) Crosses X -QJ‘"S the graph's end behavior. —intercepts. State whether the graph crosses the x—axis or touches the x—axis and turns around at each H—[ntmuga-l- ﬂ ; r240 —1)[o+3)3 (o, 54) Find the zeros for the polynomial function and give the multi x—axis or touches the x—axis and turns around, at each zero. 8) f(x) = 3(x + 1)(x + 2)3 plicity for each zero. State whether the graph crosses the «5] mu].t{lnl{c,;lzl J CTC‘SseS x-ecyu's / 1 "—31 nut-tH-frlfaélfi :5- qusgrg X-ocxi‘g P Use the Leading Coefficient Test to determine the end behavior of the polynomial function. 4\ 9) {(x) : —3x3 — 2x2 + 3x - 3 Rises +0 'H‘JL LL—H— md {:51ng +0 'Hu rl‘czﬂn‘l‘. Determine whether the function is a polynomial function. 9 10) f(x) = 7x9 + 4x + ; N0 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Itirs tiestn/ns Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation. ll) (x+ 1)(x - 1)(x — 3) < 0 If -10-9-8-7-6-5-4—3 -2‘ I {\$3.1 Pi '2 . r 5% In \ I c‘ . l 7‘ lv2+w(o-n{4r%%*:7§*“' '“ifl _ QS+ q _ (mm—wt (5)411 tango—r) (1+0 (24)(2_\$)40 UHF) (9")(‘1””(‘D ,Igeo 0’39“) 3[|)(—D¢o 5(3)“)CO '7 QU E I CAN—5)“) B3 40 1L; 4 0 "False ' Mina 990)..» U (113.) Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. x+26 <5 x+5 ’g- th ‘E 41240-3 -2 cl 2 4 6 s 1012 TQSJF P71, 6.2) \TEH P1 q j (2 "(hi [i ) Mae -1; 4 O NH P0 12) _ _ _2+2(D 4.; out (. XFH; 4‘; —2+‘:T ms ss+€ % )(HJ; — gl’Hg) 45 5H— 4‘5 fax-35¢ Wx—Tr—g )8 . ~ 3 r f- . ‘1"? ._g 41-) gal; IQ,“ X“? Tth? ~Hx+| X+g Antoni/L ("00) *6) U } ab) 40 +++++++ ++++++++++++ +++++++++++++ +++++++++++++++++++++++++++++++++++++ +++++++++++++ ++++++++++++ +++++++++++++ +++++++++++ Mrs Hestiyas Solve the problem. 13) The pressure of a gas varies jointly as the amount of the gas (measured in moles) and the temperature and inversely as the volume of the gas. If the pressure is 1350 kPa (kiloPascals) when the number of moles is 7, the temperature is 300° Kelvin, and the volume is 560 cc, find the pressure when the number of moles is 10, the temperature is .290" K, and the volume is 600 cc. a. m’F I ' I r P 04 T . V 7 . - a H P : 2’1- C’ ( LEL‘ 7 L [‘7 '; l( m l 6—777 (“C v \ ,3 f‘ : Has-c: J; '4 (‘36?) “I 1' 1’7.“ 1:”; ’56 o 7 7' sec 2 Is 14) Body—mass index, or BMI, takes both weight and height into account when assessing whether an individual is underweight or overweight. BMl varies directly as one's weight, in pounds, and inversely as the square of one's height, in inches. In adults, normal values for the BMI are between 20 and 25. A person who weighs 182 pounds and is 70 inches tall has a BMI of 26.11. What is the BMI, to the nearest tenth, for a person who weighs 120 pounds and who is 65 inches tall? P) d 1L K: academ- lﬁj" p): ﬂea-:96 Le: Pa): KW h?— '1 l" P»: Hewitt-[110) ; K 1951) _ 2-H?- [~57 Solve. i. (C1C‘LI) . *7J 15) The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 50 seconds with an average speed of 3 feet per second. Find the average speed of the swimmer if it takes 37.5 seconds to finish the race. motif 5 'T: ._l<_ S 150 Ll< 7. 1‘50 + 9; 3:150 Mrs Hestiyns Determine whether the graph shown is the graph of a polynomial function. 16) [\l 0-!- (11 73C‘it'yﬂ (“antral ﬁl’hC'i {OT} I Solve the problem. 17) if the resistance in an electrical circuit is held constant, the amount of current flowing through the circuit is directly proportional to the amount of voltage applied to the circuit. When 2 volts are applied to a circuit, 10 milliamperes of current flow through the circuit. Find the new current if the voltage is increased to 9 volts. LL : K V Jo:1<‘€l 5:!c iii/3V w: 6(a) : m Q_'?'Y7)> (J ya Approximate the number using a calculator. Round your answer to three decimal places. 18)4\ﬁ +++++++ +++++++++++++++++++++++++ ++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++ Mrs Hestiyas ...
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WS 2(one) - Precalculus 1 Handwritten Homework Worksheet 2...

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