End Behavior - Polynomials

Identify the degree and leading coefficient:

• Degree: Even

  Leading Coefficient: Positive

• Degree: Even

  Leading Coefficient: Negative

• Degree: Odd

  Leading Coefficient: Positive

• Degree: Odd

  Leading Coefficient: Negative

Tags

CCSS.HSA.REI.D.10

Identify the end behavior: $f\left(x\right)=5-2x+x^2+3x^3$ 

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ \infty$  
   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ \infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ \infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ -\infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ -\infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ \infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ -\infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ -\infty$  

Identify the degree & leading coefficient:

• Degree: Even

  Leading Coefficient: Positive

• Degree: Even

  Leading Coefficient: Negative

• Degree: Odd

  Leading Coefficient: Positive

• Degree: Odd

  Leading Coefficient: Negative

Tags

CCSS.HSA.APR.A.1

Identify the end behavior: $f\left(x\right)=-3x^3+4x^6-2x^2-1+5x^4$ 

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ \infty$  
   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ \infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ \infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ -\infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ -\infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ \infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ -\infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ -\infty$  

Identify the end behavior: $f\left(x\right)=5x^7-3x^4-9x+1$ 

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ \infty$  
   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ \infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ \infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ -\infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ -\infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ \infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ -\infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ -\infty$  

Tags

CCSS.HSA.CED.A.2

Identify the end behavior: $f\left(x\right)=4x^2-3x^5+4x-1$ 

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ \infty$  
   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ \infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ \infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ -\infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ -\infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ \infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ -\infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ -\infty$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Identify the degree and leading coefficient:

• Degree: Even

  Leading Coefficient: Positive

• Degree: Even

  Leading Coefficient: Negative

• Degree: Odd

  Leading Coefficient: Positive

• Degree: Odd

  Leading Coefficient: Negative

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

Identify the end behavior: $f\left(x\right)=-x^6-3x^5+4x^3-x^2+5$ 

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ \infty$  
   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ \infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ \infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ -\infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ -\infty$ 
   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ \infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ -\infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ -\infty$  

Identify the end behavior: $f\left(x\right)=5-3x$ 

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ \infty$  
   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ \infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ \infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ -\infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ -\infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ \infty$  

•  $x\ \rightarrow\ -\infty,\ \ y\ \rightarrow\ -\infty$  

   $x\ \rightarrow\ \infty,\ \ y\ \rightarrow\ -\infty$  
  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the degree and leading coefficient:

• Degree: Even

  Leading Coefficient: Positive

• Degree: Even

  Leading Coefficient: Negative

• Degree: Odd

  Leading Coefficient: Positive

• Degree: Odd

  Leading Coefficient: Negative

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3