Graphing Polynomial Equations

• 2
• 1
• 4
• cannot be determined

Which of the following could be the equation of the graph in factored form?

• y=-(x+1)(x-2)(x-4)

• y=(x+1)²(x-2)
  (x-4)³

• y = x(x+1)(x-2)
  (x-4)

• y=(x+1)³(x-3)
  (x-1)²

Which of the following MUST be true about
the graph shown.

• It has a degree of
  exactly 3

• It has a degree of
  AT LEAST 3

• It has a degree of
  AT LEAST 5

• It has a degree
  of exactly 5

Select all the even degree functions.

• A

• B

• C

• D

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 end behavior:

y = x⁴ - 2x² + 3x + 5

• Starts Up, Ends Up

• Starts Up, Ends Down

• Starts Down, Ends Down

• Starts Down, Ends Up

State the end behavior:

• Starts Up, Ends Up

• Starts Up, Ends Down

• Starts Down, Ends Down

• Starts Down, Ends Up

State the end behavior: y = 4x⁵ + 3x³ -8x

• Starts Up, Ends Up

• Starts Up, Ends Down

• Starts Down, Ends Down

• Starts Down, Ends Up

• The function has an even degree

• The function has a negative leading coefficient

• The function has an odd degree

• The function has 3 real zeros

• It has an odd degree and a positive leading coefficient.

• It has an even degree and a positive leading coefficient.

• It has an odd degree and a negative leading coefficient.

• It has an odd degree and a negative leading coefficient.