Question 1189469
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x-coordinate of the vertex is  x = " {{{-b/(2a)}}} " = {{{- (-11)/(2*3)}}} = {{{11/6}}} = 1.8333...



To the right from this point on x-axis, this quadratic function increases monotonically, 

so its minimum value in the given interval/segment is at x=5, i.e. f(5).    <U>ANSWER</U>


Option (A).
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Solved and explained.