JEE Main 2022 Mathematics question

MathematicsApplication of DerivativesJEE Main 2022

The sum of the maximum and minimum values of the function f(x) = |5x − 7| + in the interval [5/4, 2], where [t] is the greatest integer , is

Answer: 15

Solution

f(x) = |5x − 7| + . Both |5x − 7| (for 7/5) and are increasing for . At x = 5/4: f = 3/4 + [(81/16)] − 1 ... =

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Question ID VK-024737