Last updated at April 19, 2021 by

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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 β R. π(π₯)=|π₯|={β(β&π₯, π₯<0@&π₯, π₯β₯0)β€ At x = 0 f(0)=0 And, we note that f(π₯)>0 for all π₯ except 0 Thus, Minimum value of f(π₯)=π at π = 0 Also, Since f(π)>π 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 π β R

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.