End Behavior of Polynomials

f(x) = -3x² - 5x + 12

• UP and UP

• DOWN and DOWN

• UP and DOWN

• DOWN and UP

Tags

CCSS.HSF-IF.C.7A

f(x) = -3x⁵ + 5x⁴ - 7x³ + 2x - 12

• UP and UP

• DOWN and DOWN

• UP and DOWN

• DOWN and UP

f(x) = x² - 3x + 7x⁹

• UP and UP

• DOWN and DOWN

• UP and DOWN

• DOWN and UP

f(x) = 4 + 3x - 6x⁷ + 3x⁴

• UP and UP

• DOWN and DOWN

• UP and DOWN

• DOWN and UP

f(x) = -x² + 4x⁴ + 9x⁶ - 11x⁵

• UP and UP

• DOWN and DOWN

• UP and DOWN

• DOWN and UP

Using the graph, what can we assume about the equation?

• Degree - Even

  Leading Coefficient Positive

• Degree - Odd

  Leading Coefficient Positive

• Degree - Even

  Leading Coefficient Negative

• Degree - Odd

  Leading Coefficient Negative

Using the graph, what can we assume about the equation?

• Degree - Even

  Leading Coefficient - Positive

• Degree - Odd

  Leading Coefficient - Positive

• Degree - Even

  Leading Coefficient - Negative

• Degree - Odd

  Leading Coefficient - Negative

Is the degree of the graphed polynomial even or odd?

• Odd

• Even

• Rises on the left and right

• Rises on left, falls on right

• Falls on the left, rises on the right

• Falls on the left and right

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