Polynomial Degree and End Behaviors

• 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

• 
• 
• 
• 

• 
• 
• 
• 

• 
• 
• 
• 

Describe the end behavior of the graph.

• x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

• x → -∞, f(x) → ∞ and x→∞, f(x) →∞

• x → -∞, f(x) → ∞ and x→∞, f(x) → 0

• x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞

The end behavior can be written as: x→∞, y→? and as x→−∞, y→?

Is the leading coefficient positive or negative? Why?

• The leading coefficient is POSITIVE because the RIGHT SIDE goes UP.

• The leading coefficient is NEGATIVE because the RIGHT SIDE goes UP.

• The leading coefficient is POSITIVE because the RIGHT SIDE goes DOWN.

• The leading coefficient is NEGATIVE because the RIGHT SIDE goes DOWN.

Describe the end behavior by the degree and leading coefficient.

• The function has an even degree and a positive leading coefficient.

• The function has an even degree and a negative leading coefficient.

• The function has an odd degree and a positive leading coefficient.

• The function has an odd degree and a negative leading coefficient.

The end behavior can be written as: x→∞, y→? and as x→−∞, y→?

What is the end behavior of this graph?

• x → ⁻∞, y→ ⁻∞ and

  x→ ∞, y→ ⁻∞

• x → ⁻∞, y→ ∞ and

  x→ ∞, y→ ∞

• x → ⁻∞, y→ ⁻∞ and

  x→ ∞, y→ ∞

• x → ⁻∞, y→ ∞ and

  x→ ∞, y→ ⁻∞