gopher.createaforum.com/1/forums/practic/p/195

   DIR Return Create A Forum - Home
       ---------------------------------------------------------
       Forum Practic
  HTML https://practic.createaforum.com
       ---------------------------------------------------------
       *****************************************************
   DIR Return to: Matematica
       *****************************************************
       #Post#: 195--------------------------------------------------
       FUNCTII ELEMENTARE
   DIR By: iulianstoian
       Date: January 14, 2015, 6:16 pm
       ---------------------------------------------------------
       1) f: A�|R, AI|R, "xIA f(x)=0 -; functia nula; r1x2xi
       � graficul este un punct (originea axelor).
       2) 1A:A�A, "xIA 1A(x)=x -; functia identica;
       � graficul este prima bisectoare.
       3) f: |R�|R, f(x)=a, aI|R - functia constanta;
       � graficul este o dreapta paralela cu axa OX.
       4) f: |R�|R, f(x)=|x |= - functia modul;
       � graficul este prima si a doua bisectoare.
       5) f: |R�|R, f(x)=ax+b, a, bI|R, a�0 - functia de gradul intai;
       � graficul este o dreapta.
       6) f: |R�|R, f(x)=ax2+bx+c, a, b, cI|R, a�0 - functia de gradul
       al doilea;
       � graficul este o parabola.
       7) f: |R-Ax� Q(x)�0S�|R, f(x)= , P(x), Q(x)I|Raxi polinoame -
       functia rationala;
       8) f: |R +�|R +, f(x)= sau f: |R �|R, f(x)= - functia radical;
       9) f: (0, �)�(0, �), f(x)=x n, nI|R -; functia putere;
       10) f: |R�(0, �), f(x)=a x, a>0, a�1, aI|R -; functia
       exponentiala;
       11) f: (0, �)�|R, f(x)=logax , a>0, a�1, aI|R -; functia
       logaritmica;
       12) f: |R�a-1, 1i, f(x)=sin x (restrictia f: a- , i�a-1, 1i) -;
       functia sinus;
       13) f: a-1, 1i� a- , i, f(x)=arcsin x -; functia arcsinus;
       14) f: |R�a-1, 1i, f(x)=cos x (restrictia f: a0,pi�a-1, 1i) -;
       functia cosinus;
       15) f: a-1, 1i� a0, pi, f(x)=arcosin x -; functia arcosinus;
       16) f: |R-A +kp� kIZS�|R, f(x)=tg x (restrictia f: (- , )�|R) -;
       functia tangenta;
       17) f: |R� (- , ), f(x)=arctg x -; functia arctangenta;
       18) f: |R-Akp� kIZS�|R, f(x)=ctg x (restrictia f: (0,p)�|R) -;
       functia cotangenta;
       19) f: |R� (0, p), f(x)=arcctg x -; functia arccotangenta;
       20) f:|R�A-1, 0, 1S, f(x)=sign(x)= - functia signum (semn);
       21) f:|R�A0, 1S, f(x)= - functia lui Heaviside (treapta
       unitate);
       22) f:|R�Z, f(x)=axi= - functia parte intreaga;
       23) f:|R�a0, 1)Z, f(x)=x-axi - functia parte zecimala;
       24) f:|R�|R, f(x)=sh x= - functia sinus hiperbolic;
       25) f:|R�|R, f(x)=ch x= - functia cosinus hiperbolic;
       26) f:|R�|R, f(x)=th x= - functia tangenta hiperbolica;
       27) f:|R�|R, f(x)=cth x= - functia cotangenta hiperbolica;
       *****************************************************
       Page 1 of 1