SOLUTION: Find the domain and the range of the given function. f(x) = -x^2 + 6x A. domain: {x|x≤ -3}; range: {y|y ≤ 9} B. domain: all real numbers; range: {y|y ≤

 

Hi



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

f(x) = -x^2 + 6x   |Completing Square to find the Vertex

y = -[(x-3)^2 - 9]

y = -(x-3)^2 + 9      |represents parabola opening downward, a<0 

vertex Pt(3,9) f(3) = 9 is a maximum point

Domain:  and Range: {y|y ≤ 9}