Consider the following statements in respect of the function f(x)= cases |x|+1, & 0<|x| 3 1, & x=0 cases 1. The function attains maximum value only at x=3 2. The function attains local minimum only at x=0 Which of the statements given above is/are correct?

NDA 2022 Mathematics question

Mathematics Application of Derivatives NDA 2022

Consider the following statements in respect of the function 1. The function attains maximum value only at 2. The function attains local minimum only at Which of the statements given above is/are correct?

(A)1 only
(B)2 onlyCorrect
(C)Both 1 and 2
(D)Neither 1 nor 2

Answer: (B)

Solution

On the function is simply (the value at 0 is ). Its maximum value 4 is attained at both and , so statement 1

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Question ID VK-029504