Let f(x) satisfies the requirement of Lagranges’ mean value theorem in [0, 2]. If f(0) = 0 and  for all values of x in [0, 2] then
a) f(x) ≤ 2
b) |f(x)| ≤ 1
c) f(x) = 2x
d) f(x) = 3 for at least one value of x in [0, 2]
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