PC 3 Unit Graphing Polynomials Worksheet...Title: Microsoft Word - PC 3 Unit Graphing Polynomials...

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PC 3 Unit Graphing Polynomials Worksheet Directions: Graph the following polynomials. Identify the end behavior. 1. p(x) = (x – 4) 2 2. p(x) = (x + 5) 2 3. p(x) = x(x – 2)(x + 1) 4. p(x) = (x + 6) 2 (x – 3) 5. p(x) = (x – 1) 3 (x + 4) 2 (x – 2) 6. p(x) = (x + 3) 2 (x – 2) 2 (x + 5) As , () ____and as , () ____As , () ____and as , () ____As , () ____and as , () ____As , () ____and as , () ____As , () ____and as , () ____As , () ____and as , () ____

Transcript of PC 3 Unit Graphing Polynomials Worksheet...Title: Microsoft Word - PC 3 Unit Graphing Polynomials...

Page 1: PC 3 Unit Graphing Polynomials Worksheet...Title: Microsoft Word - PC 3 Unit Graphing Polynomials Worksheet.docx Author: Christopher Schorsten Created Date: 11/13/2013 8:37:22 PM

PC  3  Unit  Graphing  Polynomials  Worksheet    Directions:  Graph  the  following  polynomials.    Identify  the  end  behavior.    1.  p(x)  =  (x  –  4)2   2.  p(x)  =  (x  +  5)2  

                   

     

 3.  p(x)  =  x(x  –  2)(x  +  1)   4.  p(x)  =  (x  +  6)2(x  –  3)  

                   

   

   5.  p(x)  =  (x  –  1)3(x  +  4)2(x  –  2)     6.  p(x)  =  (x  +  3)2(x  –  2)2(x  +  5)  

               

As  𝑥 → ∞, 𝑓(𝑥) → ____∞  and    as  𝑥 → ∞, 𝑓(𝑥) → ____∞  

As  𝑥 → ∞, 𝑓(𝑥) → ____∞  and    as  𝑥 → ∞, 𝑓(𝑥) → ____∞  

As  𝑥 → ∞, 𝑓(𝑥) → ____∞  and    as  𝑥 → ∞, 𝑓(𝑥) → ____∞  

As  𝑥 → ∞, 𝑓(𝑥) → ____∞  and    as  𝑥 → ∞, 𝑓(𝑥) → ____∞  

As  𝑥 → ∞, 𝑓(𝑥) → ____∞  and    as  𝑥 → ∞, 𝑓(𝑥) → ____∞  

As  𝑥 → ∞, 𝑓(𝑥) → ____∞  and    as  𝑥 → ∞, 𝑓(𝑥) → ____∞  

Page 2: PC 3 Unit Graphing Polynomials Worksheet...Title: Microsoft Word - PC 3 Unit Graphing Polynomials Worksheet.docx Author: Christopher Schorsten Created Date: 11/13/2013 8:37:22 PM

7.  p(x)  =  (x  –  2)2(x  –  3)(x  +  1)3     8.  p(x)  =  (x  +  5)(x  +  2)2(x  –  3)2                      

   

Directions:  Factor  the  polynomial  into  linear  terms,  graph  the  polynomial,  and  identify  its  end  behavior.    9.  p(x)  =  x4    –  2x3  –  3x2   10.  p(x)  =  –x3  +  x2  +  6x  

                   

         11.  p(x)  =  x4    –  2x3  –  3x2  +  8x  –  4   12.  p(x)  =  x4  –  4x2  +  3    

As  𝑥 → ∞, 𝑓(𝑥) → ____∞  and    as  𝑥 → ∞, 𝑓(𝑥) → ____∞  

As  𝑥 → ∞, 𝑓(𝑥) → ____∞  and    as  𝑥 → ∞, 𝑓(𝑥) → ____∞  

As  𝑥 → ∞, 𝑓(𝑥) → ____∞  and    as  𝑥 → ∞, 𝑓(𝑥) → ____∞  

As  𝑥 → ∞, 𝑓(𝑥) → ____∞  and    as  𝑥 → ∞, 𝑓(𝑥) → ____∞  

As  𝑥 → ∞, 𝑓(𝑥) → ____∞  and    as  𝑥 → ∞, 𝑓(𝑥) → ____∞  

As  𝑥 → ∞, 𝑓(𝑥) → ____∞  and    as  𝑥 → ∞, 𝑓(𝑥) → ____∞