Quadratic End Behavior

Describe the end behavior of the graph.

• x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

• x →∞, y→∞ and x→⁻∞, y→∞

• x →∞, y→∞ and x→⁻∞, y→0

• x →∞,y→∞ and x→⁻∞, y→⁻∞

• The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞

• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞

• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞

• The end behavior of the graph is x →∞,y→⁻∞ and x→∞, y→⁻∞

What is the end behavior of the function

• as x →⁻∞,y→⁻∞, as x →∞, y→⁻∞

• as x→⁻∞, y→∞, as x →∞, y→∞

• as x→⁻∞, y→0, as x →∞, y→∞

• as x→⁻∞, y→⁻∞, as x →∞,y→∞

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

End behavior?

• As x decreases, y → ∞

  As x increases, y → ∞

• As x decreases, y → -∞

  As x increases, y → -∞

Describe the end behavior of the function.

Describe the end behavior of the function.

Identify the correct end behavior for the given graph:

• x-axis

• y-axis

• origin

Describe the end behavior of the function.