Characteristics of Polynomial Functions

What is the degree of the polynomial?
  9x⁵ - x⁴ + 2x

• 9
• 5
• 4
• 2

What degree does the function have?
  f(x) = -2x³ + 7x

• even
• odd

Tags

CCSS.HSF.BF.B.3

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

 $f\left(x\right)=x^4-19x^2-6x+72$  has what end behavior?

•  $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$  
   $As\ x\rightarrow-\infty,\ \ f\left(x\right)\rightarrow\infty$  
  

•  $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$  
   $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$  
  

•  $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$  
   $As\ x\rightarrow-\infty,\ f\left(x\right)\ \rightarrow-\infty$  
  

•  $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$  
   $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$  
  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

State the number of real zeros.

• 2

• 3

• 4

• 1