End Behavior of a Function

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

• Left side: Rises  
   Right side: Rises

• Left Side:  Rises
  Right side: Falls

• Left side: Falls
  Right side: Rises

• Left side: Falls
  Right side: Falls

Determine the end behavior of the graph of 
f(x) = -7x³ + 2x - 1

• As x →∞, f(x) →∞.
  As x→-∞, f(x) →-∞.

• As x →∞, f(x) →∞.
  As x→-∞, f(x) →∞.

• As x →∞, f(x) →-∞.
  As x→-∞, f(x) →∞.

• As x →∞, f(x) →-∞.
  As x→-∞, f(x) →-∞.

Which description best matches the function shown:

• Odd degree with positive leading coefficient.

• Even degree with positive leading coefficient.

• Degree three, with negative leading coefficient.

• Degree four, with negative leading coefficient.

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

What is the end behavior of the graph?

• As x →∞, y→⁻∞ and as x →⁻∞, y→⁻∞

• As x →∞, y→∞ and as x→⁻∞, y→∞

• As is x →∞, y→∞ and as x→⁻∞, y→2

• As x →∞, y→2 and as x→⁻∞, y→∞

Which statement describes the end behavior of the function above?

Identify the end behavior of the function.

Identify the end behavior of the function.

What is the end behavior of the function

•  x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

• x →∞, y→∞ and x→⁻∞, y→∞

• x →∞, y→∞ and x→⁻∞, y→2

•  x →∞,y→2 and x→⁻∞, y→∞

Which statement describes the end behavior of the function above?