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find range of
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↑ stuart clark:
![$[-1,1]$](/mathtex/f5/f5d766fbe82b7d375db132c40fdc0732.gif "kopírovat do textarea")
, therefore it suffices to determine ![$g([-1,1])$](/mathtex/e4/e4e2121a4a5e7807ab78729db26f8a92.gif "kopírovat do textarea")
where 
. We can simply find global extrema of 
on 
- a local minimum and 
,
- is the left endpoint of 
,
- is the right endpoint of 
.![$g([-1,1])=\left[\frac{3-2\sqrt{11}}{7}\,,\frac 12\right]$](/mathtex/af/af2c4818566ab330bbdbe05b921ebf0a.gif "kopírovat do textarea")
. It is also the range of 
.