Question -
Answer -
The given function is┬аf(x)= 2x3┬атИТ 3x2┬атИТ 36x┬а+7.
┬аx┬а=тИТ 2, 3
The points┬аx┬а= тИТ2 and┬аx┬а=3 divide the real line into three disjoint intervals i.e.,
In intervals
is positive while in interval
(тИТ2, 3),┬а
is negative.Hence, the given function (f)┬аisstrictly increasing in intervals
, while function (f)┬аis strictlydecreasing in interval┬а(тИТ2, 3).