Welcome! Please do the following: 1)  Take one mini whiteboard TearOutPages:Ø  Pg.237,84-85 (Theseareourclassnotes;keepthemseparatedastheywillbeconsideredtwoseparatesections)

Welcome! U3H2: Worksheet

Updates: U3Q1 will be 11/8 (Next Tuesday)

Agenda ① Warm-Up! ② Finish Polynomials ③ Odd and Even Functions ④ Composition of Functions ⑤ Cool-Down! ⑥ Unpack Unit 3 EA1 – This Test is Square

Warm-Up!Pg.232 Answer#4-6.

14-2PolynomialsPg.232

Whiteboards!o  Independentlyanswerthequestion:Asthexvaluesareincreasingtheyvaluesare____________.Asthexvaluesaredecreasingtheyvaluesare______________.

YoujustdescribedEndBehavior!J

14-2PolynomialsEndBehavioro  Adescriptionofwherethey-valuesareapproachingasxbecomeslargeinthepositiveANDnegativedirection.

o  Todescribeendbehavior,westartoffbyusingthefollowingnotation:o xà∞ “xbecomeslargeinthepositivedirection”o xà-∞ “xbecomeslargeinthenegativedirection”

o  Thenwecontinuebydescribingwhereyisgoing.o xà∞asyà_____o xà-∞asyà______

14-2PolynomialsPg.232 Startoffbywritingthefollowing:

xà∞asyà_______

xà-∞asyà______

14-2PolynomialsIngeneral,letsmakeaprediction.Ø Ifwehaveanevendegreewhatdowenoticeabouttheendsofourgraph?

Ø Ifwehaveanodddegreewhatdowenoticeabouttheendsofourgraph?

14-2PolynomialsOddVs.EvenDegreeo  Odddegreeendsarepointinginoppositedirections.o  Evendegreeendsarepointinginthesamedirection.

Whiteboards!IdentifywhetherthefunctiongraphedhasanoddorevendegreeandapositiveornegativeleadingcoefWicient.Alsoidentifytheendbehavior.

SettingupyourNotebookLeaveonepageblankforSB.

Today’sLesson#:14-3Topic:OddandEvenFunctionsLO#2:Identifyevenandoddfunctiongivenanequationorgraph.

14-3OddandEvenFunctionsPg.237

14-3OddandEvenFunctionsPg.237

14-3OddandEvenFunctionsEven Functions o  Symmetric with respect to the y-axis. o  f(-x) = f(x) o  Note: Not all even degrees make an even function!

y=x2+2x+1

We will show algebraically that f(x) = 3x2 + 1 is an even function.

14-3OddandEvenFunctionsPg.237

14-3OddandEvenFunctionsOdd Functions o  Symmetric with respect to the origin (re]lection across

the x and y axis). o  f(-x) = -f(x) o  Note: Not all odd degrees make an odd function! y=x3+1

We will show algebraically that f(x) = 2x3 +3x is an odd function.

14-3OddandEvenFunctionsPractice:DetermineWirstalgebraicallywhethereachfunctioniseven,odd,orneither.Thencheckyouranswergraphicallyusingyourgraphingcalculator.Sketchthegraph.(a) y=x2–x+2

(b) y=x3+3x

(c) y=2x2+4

Whiteboards!Graphically,arethefollowingeven,odd,orneither?

Whiteboards!Graphically,arethefollowingeven,odd,orneither?

Whiteboards!Graphically,arethefollowingeven,odd,orneither?

Whiteboards!Graphically,arethefollowingeven,odd,orneither?

Whiteboards!Graphically,arethefollowingeven,odd,orneither?

SettingupyourNotebookLeaveonepageblankforSB.

Today’sLesson#:5-3Topic:CompositionofFunctionsLO#3:Writeandevaluatethecompositionoftwofunctions.

5-3CompositionofFunctionsPg.84

5-3CompositionofFunctionsPg.84 Attempt#2inyourgroups.

5-3CompositionofFunctionsCompositionofFunctions(f¢g)(x)=

(g¢f)(x)=

o  Processwherewesubstituteanentirefunctionintoanotherfunction.

f(g(x))

g(f(x))

5-3CompositionofFunctionsPg.85 Wewilldo#3atogetherthenyouwilldo#3b.

5-3CompositionofFunctionsPg.85 Attempt#7.

5-3CompositionofFunctionsPg.85 Wewilldo#8atogetherthenyouwilldo#8b.

5-3CompositionofFunctionsPg.86 Do#10-11inyourgroups.

Cool Down Going in a circle around your table, have each person de]ine one vocabulary word from todays lesson.

Unpack Unit 3 EA1 – This Test is Square

Turn to page 265-266. You will read through the Rubric 1st on page 266, then read through the Embedded Assessment on page 265 and complete the following chart on the next new page in your notebook. I understand I somewhat Know I have no idea You may title this page Unit 3 EA#1.