Identifying Positive and Negative Graphs

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

Tags

CCSS.HSF-IF.C.7A

• 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→0
• The end behavior of the graph is x →∞,y→∞and x→⁻∞, y→⁻∞

• A.
• B.
• C.
• D.

• 4th degree polynomial with a positive leading coefficient
• 4th degree polynomial with a negative leading coefficient
• 3rd degree polynomial with a positive leading coefficient
• 3rd degree polynomial with a negative leading coefficient

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

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

How many graphs have a positive slope?

• 1

• 2

• 3

• 4

Tags

CCSS.8.EE.B.5

How many graphs have a negative slope?

• 1

• 2

• 3

• 4

Tags

CCSS.8.EE.B.5

A positive slope increases from left to right?

• True

• False

Tags

CCSS.8.EE.B.5

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) = -x⁵ - 4x +2

• Left up  Right up

• Left up  Right down

• Left down  Right up

• Left down  Right down