Question

Determinati imaginea functiei:
f:R→R, f(x)=$-x^{2} +x+2$

Answer 1

functia   de   grd   2   e   definita  astfel
f:R→(-∞,-Δ/4a]
-Δ/4a=-(1²-4*(-1)*(2))/-4=(1+8)/4=9/4
Imf=(-∞,9/4]

Answer 2

a=-1<0, deci imaginea este:
(-∞; maxim]
maxim =f(-b/2a)=f(1/2) =-1.4+1/2+2=2+1/4=9/4
 imaginea este (-∞;9/4]