\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
The table of variation for a continuous function \(g\) on the interval \([1, 6]\) is given below:
Justify that the equation \(g(x) = 0\) has a unique solution \(c\) in the interval \([1, 6]\).
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