Identifying Key Features of Polynomials

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

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

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

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

odd degree

even degree

positive leading coefficient

negative leading coefficient

odd degree

even degree

positive leading coefficient

negative leading coefficient

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

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

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

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

$j\left(x\right)=3x^2-4x^3+7x-2$

$k\left(x\right)=-5x^3+2x^2-4x+12$

$h\left(x\right)=4x^3+7x^6-4x^5+72$

$m\left(x\right)=23x^5+14x^3-20x^2+72$

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

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

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

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

odd degree

even degree

positive leading coefficient

negative leading coefficient