Question

Calculati distanta dintre punctele de intersectie a graficului functiei f:R->R, f(x)=-4/3x+4 cu axa Ox si, respectiv, cu axa Oy.

Answer 1

1) Gf Ox ⇒ f(x)=0
f(x) = -4/3x +4 
-4/3x+4=0
-4/3x=-4
x=-4: (-4/3)
x= -4 × -3/4
x=-4× (-0,75)
x=3
x=3⇒ f(3)=0⇒A(3;0)    Gf Ox = {A(3;0)}

2) Gf Oy ⇒ f (x) = 0
f(0) = -4/3x × 0 + 4
f(0) = 4 ⇒ B(0;8)
Gf Oy = {B(0;8)}