HW10.6Sol1 - éol n’ Math 35 Name: Dafe: Homework 10.6...

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Unformatted text preview: éol n’ Math 35 Name: Dafe: Homework 10.6 Score: Defermine whe’rher' fhe graph will open up or' down, find The coordinafe of the vertex, find The line of symmefr‘y, find The x-in’rer'cepfs and graph each of The following. 1. f(x)=x2+8x+15 2' f(X)=—X2—2X+8 Opens: Upward Opens: downward Ver'fex: ("fro Vertex: (4 ~/) 9) Axis of Sym: x = - Axis of Sym: )(=-/ X-In’r: (-530) ( ~3,o) x-Im: (—4, ’2‘ ( 220) "if j _ E! I i i I :- i , ~ i I * 1| r— _ 1 +~—~:i—~~-~| _ - _ —P J OLA ____i_____ ,___. ..,l_ J _ L A 1 .l i 3_ f(x)=~x2+4x—5 4. f(x)=x2—4x+4 Opens: down Ward Opens: UPWG WI Verfex: (5?; '4) Ver-‘rex: ( Q I 0) Axis of Sym: 9‘: 3. Axis of Sym: K a g X—Inf: No x-,'nf- X-Inf: (3/0) Math 35 Name: Date: Homework 10.6 Score: 5. f(x)=x2+2 6. f(X)=—X2+5 Opens: Upward Opens: 0’0")” war" Vertex: ( 0) 17) Vertex: ( 0/ 5) Axis of Sym: X 0 Axis of Sym: X = 0 X-Int: N’a x-mf. x-Im: ([510) (433 0) l "T" a 7 ' l i . VLMJF c 1— } l E I“ I l -f : E» iJl J I i ;_ __ ____A t _4 _ i i i ' r 7_ f(x)=xz+6x 8' f(X)=X2-6X+4 Opens: upward Opens: Upward Vertex: ( ‘3J“9) Vertex: ( 3, “5) Axis of Sym: X '-‘- ‘3 Axis of Sym: X: 3 X-Int: {DJ 0) (~[I/0) X—Int: z 3.5} D) MaTh 35 Name: DaTe: Homework 10.6 Score: 9. f(x) = —2X2 + 4X —5 Opens: do W" o VerTex: ( /, ‘3) Axis of Sym: X: / X-InT: /\/b X-lm‘. 10. (Problem 31 from secTion 10.6): A charTer‘ flighT charges a fare of $200 per person plus $4 per person for each unsold seaT on The plane. If The plane holds 100 passengers and if x represenTs The number of unsold seaTs, find The following. a. A funcTion defined by R(x) ThaT describes The ToTal revenue received for The flighT (HinT: muITiply The number of people flying, 100-x, by The price per TickeT, 200+4x) R“) = ('00‘¥)( 2004—40 120:) = 20,ooo+2oox.. 4x2. b. The number of unSOId SeaTs ThaT will produce The maximum revenue we “Cad "*0 'Fmd H“ X value 09 The vcr+c><,+h19 will We us the 1* of on sold 6co+9 khodr Wi‘ll ‘ Pro uoe 0. mt! ximum. 0. Jr“ “Lg-2003-291 $70» 26% ‘8 c. The maximum revenue. Plug 25 rnd'v H1: r‘exenuc ecbuahb‘nIRCX). F2 (95>= 9.0000 +2co( 15) _. 4425):. 25 = .32, 500. $533,500 (6%”: moxirhum revenue. +hc_ airlin—c Could make. Math 35 Name: Date: Homework 10.6 Score: 11. Joe owns a hot dog stand. He has found that his profit can be repreSented by the equation P(X) = —X2 + 78X + 80 where P represznts his profit and x repreSents the number of hot dogs sold. d. How many hot dogs must he Sell to earn the most profit? m a 3: im 0 m Fl'nd +he Vertex. __b_ .79 59 2a ' 21-1): . 50 8‘} hot dos wt'U mammme I prDCH- e. What is his maximum profit? o" No, +0 ¥mA +hcmprtrflit he will earn pmg In am I'm“, +141 pro-CH Wafio’h- “Hem = —L%q)‘+72(aoi) tsb ...
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HW10.6Sol1 - éol n’ Math 35 Name: Dafe: Homework 10.6...

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