End Behavior of Polynomial Functions

Degree: Odd

Leading Coefficient: Positive

• 
• 
• 
• 

Degree: Even

Leading Coefficient: Positive

• 
• 
• 
• 

Degree: Odd

Leading Coefficient: Negative

• 
• 
• 
• 

Degree: Even

Leading Coefficient: Negative

• 
• 
• 
• 

 $f\left(x\right)\rightarrow+\infty\ as\ x\rightarrow-\infty\ and\ f\left(x\right)\rightarrow+\infty\ as\ x\rightarrow\infty$  

• 
• 
• 
• 

 $f\left(x\right)\rightarrow+\infty\ as\ x\rightarrow-\infty\ and\ f\left(x\right)\rightarrow+\infty\ as\ x\rightarrow+\infty$  

• 
• 
• 
• 

 $f\left(x\right)\rightarrow-\infty\ as\ x\rightarrow-\infty\ and\ f\left(x\right)\rightarrow-\infty\ as\ x\rightarrow+\infty$  

• 
• 
• 
• 

 $f\left(x\right)\rightarrow-\infty\ as\ x\rightarrow-\infty\ and\ f\left(x\right)\rightarrow-\infty\ as\ x\rightarrow+\infty$  

• 
• 
• 
•