Question 867633
The question is, "determine the minimum or maximum value" of {{{f(x)=2x^2+13x+17}}}.


The very formal declaration tells us that if {{{2>0}}}, then f(x) which we have contains a minimum point, and if {{{2<0}}}, then our f(x) contains a maximum value.  


A way to find this extreme value is to first identify the zeros of f(x).  The extreme value, either max or min, occurs in the exact middle of the zeros of f(x).  


Solve for x using this equation:  {{{2x^2+13x+17=0}}}.
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After that is done, what is the x value in the exact middle of these two solutions?
Now, what is {{{f(x)=2x^2+13x+17}}} evaluated at that middle value?