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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Functions

NDA 2022 · Mathematics · Functions

Consider the following statements in respect of the function f(x)=\...

Consider the following statements in respect of the function f(x)=\left\{∣x∣+1,0<∣x∣≤31,x=0\begin{array}{cc} |x|+1, & 0 < |x| \leq 3 \\ 1, & x=0 \end{array}\right. 1. The function attains maximum value only at x=32.Thefunctionattainslocalminimumonlyat2. The function attains local minimum only atx=0Whichofthestatementsgivenaboveis/arecorrect?Which of the statements given above is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

B. 2 only

Step-by-step solution


It is clear from graph that f(x)f(x) is maximum at 3 and -3 and minimum at x=1x=1.
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