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Paragraph: Let f: R R, y=f(x), f(0)=0, (x) 0 and f^ (x) 0 . Three points A( , f( )), B( , f( )), C(y, f(y)) on y=f(x) such that 0 Question: Which of following is true

Options

  1. Af( )+f( ) 2 f ( + 2 )
  2. Bf ( )+ f ( ) 2 f ( + 2 )
  3. Cf( )+f( ) 2 =f ( + 2 )
  4. D2 f( )+f( ) 3 r ( 2 + 3 )

Correct answer

B. f ( )+ f ( ) 2 f ( + 2 )

Step-by-step solution

As the function is concave up f( )+f( ) 2 f ( + 2 )

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