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KVPY2012MathematicsApplication of Derivatives

Let f(x)= (x-a)+ (x+a) (x-a)- (x+a) , then-

Options

  1. Af(x+2 )=f(x) but f(x+ ) f(x) for any 0 < < 2
  2. Bf is a strictly increasing function
  3. Cf is strictly decreasing function
  4. Df is a constant function

Correct answer

D. f is a constant function

Step-by-step solution

f(x)= (x-a)+ (x+a) (x-a)- (x+a) = 2 (x) a 2 x a = a

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