Graphing polynomial functions

What is the relative maximum?

• (2,0)

• (4.67, -9.48)

What is the relative minimum?

• (2,0)

• (4.67, -9.48)

As 

 $x\rightarrow\infty,\ f\left(x\right)\ \rightarrow$  

•  $\infty$  
  

•  $-\infty$  

As 

 $x\rightarrow-\infty,\ f\left(x\right)\ \rightarrow$  

•  $\infty$  
  

•  $-\infty$  

Increasing Interval(s): (Choose all that apply)

•  $\left(-\infty,\ 2\right)$  
  

•  $\left(2,\ -4.67\right)$  
  

•  $\left(-4.67,\ \infty\right)$  

•  $\left(-\infty,\ 0\right)$  

•  $\left(0,\ -9.48\right)$  

Decreasing Interval(s): (Choose all that apply)

•  $\left(-\infty,\ 2\right)$  
  

•  $\left(2,\ 4.67\right)$  
  

•  $\left(-4.67,\ \infty\right)$  

•  $\left(-\infty,\ 0\right)$  

•  $\left(0,\ -9.48\right)$  

Choose all that apply:

• Even Degree

• Odd Degree

• Positive Leading Coefficient

• Negative Leading Coefficient

Choose all that apply:

• Even Degree

• Odd Degree

• Positive Leading Coefficient

• Negative Leading Coefficient

Choose all that apply:

• Even Degree

• Odd Degree

• Positive Leading Coefficient

• Negative Leading Coefficient

Describe the end behavior of a 15th degree polynomial with a positive leading coefficient.  Choose all that apply.

• 
  

   $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$  
  

•  $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$  

•  $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$  

•  $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$