function

n-function

   f(x) = {\displaystyle \textstyle \sum \limits _{k=0}^{n}a_{k}x^{k}=a_{n}x^{n}+a_{n-1}x^{n-1}+\cdots +a_{1}x+a_{0}=0}

α>β>γ>δ…>ω

 

a>0

 

x>α

0 < f(x)

α<x<β

f(x) < 0

β<x<γ

0 < f(x)

γ<x<δ

f(x) < 0

  :

  :

  :

x<ω

f(x)<0

f(x)>0

 

a<0

 

x>α

0 > f(x)

α<x<β

f(x) > 0

β<x<γ

0 >f(x)

γ<x<δ

f(x) > 0

  :

  :

  :

x<ω

f(x) > 0

f(x) < 0

 

       T.theodor        2022.7.25