Polynomial Functions End Behaviors

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• Rises to the left and falls to the right

• Falls to the left and rises to the right

• Rises to both direction

• Falls to both direction

• Rises to the left and falls to the right

• Falls to the left and rises to the right

• Rises to both direction

• Falls to both direction

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

Identify the degree of the polynomial and the sign of the leading coefficient based on the end behavior of the polynomial.

• Positive

• Even

• Negative

• Odd

Express the END BEHAVIOR of the graph shown. As x→​ ∞, (a)   As x →​ -∞, ​ ​ (b)  

• The leading coefficient is positive.

• The highest degree is even.

• The leading coefficient is negative.

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

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

• -1

• 4

• 2

Which function has this end behavior?

• -1x⁴-3x³+3

• -2x⁷+2x⁴+4

• 3x⁸+3x⁵-4x+7

• 4x⁵-4x⁴+2x³-9