5.3 Polynomial Functions and End Behavior

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4?

• 4
• 7
• 2
• 1

Based on the end behavior which option best describes the leading term?

• negative coefficient, even degree
• negative coefficient, odd degree
• negative degree, odd coefficient
• negative degree, even coefficient

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

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the degree of the polynomial?

• 2
• 3
• 4
• 5

In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

• 9
• 5
• 4
• 2

What is the leading coefficient of the polynomial?
  7x⁵ - 9x² + 6x

• 7
• 5
• 9
• 2

What is the degree of the polynomial?
  9x⁵ + 2x⁴ - x³ + 9x² - 2

• 9
• 5
• 2
• 4