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Verified answer

Y=(x+2)²(x-11)-32
y`=2(x+2)(x-11)+1*(x+2)²=(x+2)(2x-22+x-2)=(x+2)(3x-24)=0
x+2=0⇒x=-2∉[9;19,5]
3x-24=0⇒3x=24⇒x=8∉[9;19,5)
y(9)=11²*(-2)-32=-242-32=-274наим
y(19,5)=21,5²*8,5-32=462,25*8,5-32=3929,125-32=3897,125наиб