SOLUTION: without graphing find out whether it has a minimum or maximum value find the minimum or maximum value identify the functions domain and range for f(x)=3x^-6x-2

Hi

f(x)=3x^2-6x-2

Using the vertex form of a parabola,  where(h,k) is the vertex

f(x)=3[(x-1)^2 -1]-2   |completing the square to put into vertex form

f(x)=3(x-1)^2 -5  Vertex is Pt(1,-5)

a = 3 >0 parabola opens upward  Pt(1,-5) a minimum point

 domain is all real numbers, range is all real numbers ≥ -5