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Find maximum and minimum values of Modulus |x| - Example 27 - Teachoo

Example 27 - Chapter 6 Class 12 Application of Derivatives - Part 2

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Example 27 Find the maximum and minimum values of f , if any, of the function given by f(x) = |x|, x ∈ R. 𝑓(π‘₯)=|π‘₯|={β–ˆ(βˆ’&π‘₯, π‘₯<0@&π‘₯, π‘₯β‰₯0)─ At x = 0 f(0)=0 And, we note that f(π‘₯)>0 for all π‘₯ except 0 Thus, Minimum value of f(π‘₯)=𝟎 at 𝒙 = 0 Also, Since f(𝒙)>𝟎 for all π‘₯ except 0 So, we cannot find a maximum value Example: f(100)=|100|=100 f(1000)= |1000|=1000 Hence , we cannot find maximum value of f(π‘₯) on 𝒙 ∈ R

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