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Grade: 12th pass
        
Find range of the function f(X)=|x-1|+|x-2|+.........|x-100| and discuss about graph of f(X)
6 months ago

Answers : (1)

Aditya Gupta
1071 Points
							
Actually the least value of |x-a1|+|x-a2|+.....+|x-a2n| such that a1, a2,...,a2n are in ascending order is attained at x belonging to [an, an+1]
So least value of above expression is attained at 50.
So it's value at 50 is 2(1+2+...+49)+50
= 2500
So range is [2500, infinty]
6 months ago
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