Polynomial Functions End Behaviors

Select the two end behaviors that apply.

Select the two end behaviors that apply.

Choose the answer that best describes the leading coefficient and the degree of the polynomial graph.

• Positive/Even

• Negative/Even

• Positive/Odd

• Negative/Odd

Match the following End Behavior to their Graphs

• Degree is Even, Leading Coefficient is Positive

• 
• Degree is Odd, Leading Coefficient is Positive

• 
• Degree is Even, Leading Coefficient is Negative

• 
• Degree is Odd, Leading Coefficient is Negative

• 

What is the least degree possible for this polynomial function?

Choose the answer that best describes the leading coefficient and the degree of the polynomial graph.

• Positive/Even

• Negative/Even

• Positive/Odd

• Negative/Odd

Using the degree and leading coefficient, identify the end behavior of: y=-2x⁴+3x-1

• x→∞, f(x)→∞

• x→∞, f(x)→-∞

• x→-∞, f(x)→∞

• x→-∞, f(x)→-1

What is the correct end behavior?

• 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) → - ∞

Describe the end behavior of the graph of the function.

• right end up, left end up

• right end up, left end down

• right end down, left end down

• right end down, left end up

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.  

Determine the end behavior. f(x) = -2x² + 3x 

• Left up    Right up

• Left up   Right down

• Left down  Right up

• Left down   Right down