Polynomial and End Behavior

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 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

What is the End behavior on the left side

• x →-∞, y→∞

• x →∞, y→-∞

• x →-∞, y→-∞

• x →∞, y→∞

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and x→∞, y→⁻∞

• x → ∞, y→ ∞ and x→⁻∞, y→∞

• x → ∞, y→ ⁻∞ and x→⁻∞, y→⁻∞

• x → ∞,y→ ⁻∞ and x→ ⁻∞, y→∞

Match the following End Behavior to their Graphs

• Degree is Even, Leading Coefficient is Negative

• 
• Degree is Even, Leading Coefficient is Positive

• 
• Degree is Odd, Leading Coefficient is Positive

• 
• Degree is Odd, Leading Coefficient is Negative

• 

Match each polynomial function with its corresponding end behavior.

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