Polynomial Functions End Behaviors

Is the leading coefficient positive or negative?

• Positive

• Negative

• rises to the left and falls to the right

• falls to the left and rises to the right

• rises to both directions

• falls to both directions

• falls to the left and rises to the right

• rises to the left and falls to the right

• falls to both directions

• rises to both directions

If the leading coefficient of an even-degree polynomial function is negative, what is the behavior of the graph of its curve?

• The graph falls to the left and falls to the right.

• The graph falls to the left and rises to the right.

• The graph rises to the left and rises to the right.

• The graph rises to the left and falls to the right.

Based on the end behavior of the polynomial, what best describes the leading coefficient?

• a negative real number

•  a positive real number

• an even real number

• an odd real number

Based on the end behavior of the polynomial, what is the degree of the polynomial?

• a negative real number

• a positive real number

• an odd real number

• an even real number

What is the end behavior as x → -∞ f(x)→ ?

• -∞

• ∞

What is the predicted end behavior of: y=-2x⁴+3x-1

• up on both ends

• down on both ends

• up on left, down on right

• down on left, up on right

Determine the end behavior of the polynomial by identifying the degree and leading coefficient.

f(x) = 5x⁴ - x + 6

• UP-UP

• UP-DOWN

• DOWN-UP

• DOWN-DOWN

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