End Behavior and Classifying Polynomials

Find end behavior:

-x³ + 4x² - x⁴ - 3

• down, up

• up, up

• up, down

• down, down

Describe the end behavior of: f(x)= -x³ + 3x² - 1

• up, down

• down, up

• down, down

• up, up

Find the end behavior:

-x⁵ + 4x³ - 4x +1

• up, down

• up, up

• down, up

• down, down

Find end behavior:

x⁴ - 3x² -2x +1

• down, down

• up, down

• up, up

• down, up

Classify the polynomial: -7r³ - 7r - 12 + 6

• cubic binomial

• cubic polynomial of 4 terms

• quartic polynomial of 4 terms

• cubic trinomial

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

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = 2x³ - x + 5

• Left up    Right up

• Left up   Right down

• Left down   Right up

• Left down   Right down

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = -2x² + 3x

• Left up    Right up

• Left up   Right down

• Left down  Right up

• Left down   Right down

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 degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.  
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = -x⁵ - 4x +2

• Left up  Right up

• Left up  Right down

• Left down  Right up

• Left down  Right down