Question 1156215
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1)  The maximum possible value for f(2) under the question is 2 + 6*2 = 2 + 12 = 14.



2)  can f(5) be negative ?    

    <U>ANSWER</U>.  YES.  Take, for example, f(x) = 2 - x. 

                          Then f(0) = 2 and f(5) = 2 - 5 = -3,

                          and f(x) satisfies all imposed conditions.



     can f(5) be equal to 0 ?

     <U>ANSWER</U>.  YES.  Take, for example,  f(x) = 2 - 0.4x.
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I answered all the questions.


The function f(x) is assumed to be continue and differentiable in the given interval (in order for the question makes sense).