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Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

Let d(x,[a, b])= . |x-y|: a y b . A function f: R [0,1] is defined by f(x)= d(x,[0,1]) d(x,[0,1])+d(x,[2,3]) , then which of the following is(are) incorrect?

Options

  1. Af(x) is decreasing in (- , 0) and increasing in (3, ) .
  2. BThe function f is bijective.
  3. CNumber of points where f(x) is non-derivable is 4 .
  4. DNumber of solution of the equation f(x)= 1 2 is 2 .

Correct answer

D. Number of solution of the equation f(x)= 1 2 is 2 .

Step-by-step solution

d(x,[a, b])= cases |x-a| & x

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