If f(x) = |4 x – x2 - 3| when x ∈ [0 , 4] then

x = 1 is a global maximum x = 3 is a global maximum x = 2 is a local maximum none of these

x = 2 is a local maximum

Clearly, x = 1, 3 are the points of global minimum (values being equal) and x = 0, 4 are the points of global maximum (values being equal) and x = 2 is a local maximum. Hence (C) is the correct answer.