WeeklyProblems12SHOWALLWORKFORCREDIT!!!
1. Giventhegraphofthefunctionf(x)shownbelow,sketchthegraphsofongraph
paperattached:
a. 𝑓(𝑥 + 1) – 2
b. – 𝑓(−𝑥) + 2
c. 2𝑓(−𝑥 + 3)
d. Statethedomainandrangeof(a-c)andstatehow(a-c)werechanged
fromtheoriginalfunctionf(x).
Domain and Range: a: ____________________________________________________
b:_____________________________________________________________________
c: _____________________________________________________________________
Transformations: a: ______________________________________________________
b:_____________________________________________________________________
c: _____________________________________________________________________
WeeklyProblems12SHOWALLWORKFORCREDIT!!!
2. Find the formula for a quadratic function 𝑦 = 𝑓(𝑥) with x-intercepts (−1, 0) and
(5, 0) and y-intercept (0, 10).
3. Writeapolynomialwiththegivenroots.Yourfinalanswershouldbeinstandard
form.𝑥 = −2, 3, 2 + 𝑖, 𝑎𝑛𝑑 1 − 5
4.Amilitaryunitisabouttoembarkonanextendedmission.Theunitcarriesfood
intwotypesofservings—powerbars,whichresemblelittlesnackcakes,andminimeals,whichresemblesmallmicrowavedinners.Theseservingshavedifferent
nutritionalvalue,asshowninthechart.
Carbohydrates(g) Calories Theunitcommandersaretryingto
planhowmanyofeachtypeofmeal
powerbar
75
155
tocarryonthemission,accordingto
mini-meal
15
310
therestrictionsbelow.
• Eachday,asoldiercanhavenomorethan12totalservings.
• Eachday,asoldiermustconsumeatleast300gofcarbohydrates.
• Eachday,asoldiermustconsumeatleast2015calories.
Forthissituation,definethevariablesandthenwriteasystemofinequalitiesto
describetheconstraints.Next,ongraphpaperattached,graphthefeasibleregion
forthenumbersofeachtypeofservingasoldiercanconsumeinaday.(Youmust
graphbyhandbutmayuseyourcalculatortoconfirmintersections.)
Thecontractedfoodservicechargesthemilitary$1.25foreachpowerbarand$3.75
foreachmini-meal.Determinethemaximumandminimumcostsforfeeding250
troopsona30-daymission.SHOWYOURWORK!
WeeklyProblems12SHOWALLWORKFORCREDIT!!!
WeeklyProblems12SHOWALLWORKFORCREDIT!!!
Free Plain Graph Paper from http://incompetech.com/graphpaper/plain/