Invatamant: Gimnaziu; Autor: Educativ
Descriere: 4. FUNCTIA DE GRADUL II
f: |R(|R, f(x)=ax2+bx+c a, b, c(|R, a(0.
Forma canonica: f(x)=a(x+ )2 .
Monotonie:
|a>0 -"(" |f(x) strict descrescatoare |a<0 -"(" |f(x) strict crescatoare "?", |
| |"?", x((-(,) | |x((-(,) |
| |f(x) strict crescatoare "? | |f(x) strict descrescatoare "?|
| |", x((,() | |", x((,() |
|a>0 -"(" |x |-( |a<0 -"(" |x |-( |
| | |( | | |( |
| |f(x) | ? | |f(x) | ? |
| | |? | | |? |
Semn:
> daca ((0 ;
> daca (=0 ;
> daca ((0 ;
> daca a>0 ;
> daca a<0 .
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