A function y = f ( x ) with f ( − 1 ) = − 249 has no maximum and has only one minimum at x = 5 with f ( 5 ) = 75 . Which one of the following is true?

Question

A function y = f ( x ) with f ( − 1 ) = − 249 has no maximum and has only one minimum at x = 5 with f ( 5 ) = 75 . Which one of the following is true?, At some point in ( − 1 , 5 ) , f ( x ) is discontinuous, The minimum value cannot be 75 since f ( − 1 ) f ( 5 ) = 75, f ( x ) is discontinuous at every point of R, f ( x ) is continuous on R

MARKS App · Accepted Answer

It is given that there is a function y = f ( x ) such that it have no maximum but has only one minimum at x = 5 with f ( 5 ) = 75 , but f ( − 1 ) = − 249 is given, so it is only possible the function is not continuous in ( − 1 , 5 ) .

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