Question

Gráfico das funções do 1 grau,determinar suas raízes e classificar a função em crescente ou decrescente cauculo a)F(X)=3X+1 b)F(X)=2X C)F(X)=2X+2 D)F(X)=-3X+6 G)Y=-4X H)Y=-X+1/2

Answer 1

a)F(X)=3X+1

F(x) > 0 ==> crescente==>  3x + 1> 0 ==> 3x > - 1 ==> x > - 1/3
=======================================================
b)F(X)=2X

F(x) > 0 ==> crescente==>  2x > 0 ==> 2x > 0 ==> x > 0
=======================================================
C)F(X)=2X+2

F(x) > 0 ==> crescente==>  2x + 2 > 0 ==> 2x > -2 ==> x > - 1
========================================================
D)F(X)=-3X+6

 decrescente==> -3x + 6 > 0 ==> -3x > -6(-1) ==> 3x < 6 ==> x < 2
========================================================
G)Y=-4X

 decrescente==> -4x > 0 ==> -4x > 0 (-1) ==> 4x < 0 ==> x < 0
========================================================
H)Y=-X+1/2 

decrescente==> -x + 1/2 > 0 ==> -2x + 1 > 0(-1) ==> 2x < - 1 => x < - 1/2
========================================================