Question 1096363
Graph can make the range and domain a little easier to recognize.


{{{graph(300,300,-5,15,-15,5,-x^2+8x-12)}}}


Lowest point in range is at x=7.
{{{-(7)^2+8*7-12}}}
{{{-49+56-12}}}
{{{-5}}}
Minimum of the range is AT f=-5



{{{-1(x^2-8x+12)}}}
{{{-1(x-6)(x-2)}}}
Roots at x=2 and x=6, so maximum f is at x=4.
{{{-(4)^2+8(4)-12}}}
{{{-16+32-12}}}
{{{16-12}}}
{{{4}}}--------maximum f.



RANGE of f:
-5  to  +4.