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Name: ___________________________________ Math 7.2, Period _____________ Mr. Rogove Date: _______________ Lesson 96: Defining and Evaluating Functions 1 Learning Objective: We will use equations to define and evaluate functions. (Lesson 96) Activating Prior Knowledge: Study the different representations of a function below. TABLE: Input 0 1 2 3 4 5 Output 1 2 4 8 16 32 FUNCTION: Let !: 0, 1, 2, 3, 4, 5 → 1, 2, 4, 8, 16, 32 such that ! ⟼ 2 ! . DIAGRAM: Concept Development: Algebraic Function: Given an algebraic expression in one variable, an algebraic function is a function !: ! → ℝ such that for each real number x in the domain X, !(!) is the value found by substituting the number x into all instances of the variable symbol in the algebraic expression and evaluating. Examples: ! ! = ! − 5 ! ! = 2 ! 0 1 2 3 4 5 1 2 4 8 16 32 f

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Name:&___________________________________& & Math&7.2,&Period&_____________&Mr.&Rogove& & Date:&_______________&

Lesson&96:&Defining&and&Evaluating&Functions&1&

Learning Objective:&We&will&use&equations&to&define&and&evaluate&functions.&&(Lesson&96)&&Activating Prior Knowledge: Study&the&different&representations&of&a&function&below.&&&TABLE:'Input& 0& 1& 2& 3& 4& 5&Output& 1& 2& 4& 8& 16& 32&&&&FUNCTION:'Let&!: 0, 1, 2, 3, 4, 5 → 1, 2, 4, 8, 16, 32 !such!that!!⟼ 2! .&&&DIAGRAM:'&&&& Concept Development: Algebraic'Function:&Given&an&algebraic&expression&in&one&variable,&an&algebraic&function&is&a&function&!:! → ℝ&such&that&for&each&real&number&x&in&the&domain&X,&!(!)&is&the&value&found&by&substituting&the&number&x&into&all&instances&of&the&variable&symbol&in&the&algebraic&expression&and&evaluating.&&Examples:&! ! = ! − 5!&&&! ! = 2!&&&

0&1&2&3&4&5&

1&2&4&8&16&32&

Name:&___________________________________& & Math&7.2,&Period&_____________&Mr.&Rogove& & Date:&_______________&

Lesson&96:&Defining&and&Evaluating&Functions&2&

Guided Practice: Steps'to'Evaluating'Functions'1.&Read&the&function&rule.&2.&Substitute&the&appropriate&x&in&X&to&the&expression&!(!).&&3.&Evaluate&the&function.&&4.&Identify&any&restrictions&on&domain&and&range&of&the&function&as&directed.&&&&The&squaring&function&is&defined&as&follows:&&Let&!:! → !!be!the!function!such!that!&

!⟼ !!,where!!!is!the!set!of!all!&real!numbers.!&

&Find:&&! 0 !&&&&! 3 !&&&&! −2 !&&&&! 3 &&&&&! −2.5 &&&&! !

! !&&&&! ! &&&&!(! + 3)&&&&&

The&exponential&function&is&defined&as&follows:&&

! ! = 2!&&&Find:&&! 0 &&&&&&! 3 &&&&&&! −2 !&&&&&&! 10 &&&&&&!(!!)&&

Name:&___________________________________& & Math&7.2,&Period&_____________&Mr.&Rogove& & Date:&_______________&

Lesson&96:&Defining&and&Evaluating&Functions&3&

&&The&square&root&function:&&Let&! ! = ! + 2&&&Find:&&&! 0 &&&&! −2 &&&&! 7 &&&&&! 14 &&&&! 5 &&&&! −5 &&&&!(4.25)&&&&&What&are&the&restrictions&on&the&domain&and&the&range?&&&&&&&&&&&&

Let&! ! = 4 3 !&&Find:&&! 0 &&&&&! 1 &&&&&! 2 &&&&&&! 3 &&&&&&&! 4 − !(2)&&&&&&!(−3)&&&&&&&What&are&the&restrictions&on&the&domain&and&range?&

Name:&___________________________________& & Math&7.2,&Period&_____________&Mr.&Rogove& & Date:&_______________&

Lesson&96:&Defining&and&Evaluating&Functions&4&

&&Independent Practice: Students&complete&Problem&Set&for&Independent&Practice….Page&s.&63Y65&Rest&is&HW.&&&&Closure: Write&three&different&polynomial&functions&such&that&! 3 = 2&&&&&Notes: This&accompanies&lesson&10&from&Alg&1&Mod&3.&&&&&

Study Guide KEY Exponential and Linear Functionsmrrogove.weebly.com/uploads/4/3/0/0/43009773/study_guide_key... · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 1&

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RāznaNs a coi nāpāl akraor b eža Sauprvm aāuj p … · 2021. 2. 16. · 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Polynomials - Mr. Rogove's Site 2015-2016mrrogove.weebly.com/uploads/4/3/0/0/43009773/alg1m1_sg... · 2018-09-11 · Name:&_____& & Math7.2,Period_____& Mr.Rogove& & Date:_____& 2&

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