Last updated at April 19, 2021 by Teachoo

Transcript

Example 26 Find the maximum and the minimum values, if any, of the function f given by f (๐ฅ) = ๐ฅ2 , ๐ฅ โ R f(๐ฅ)=๐ฅ^2 First we plot the Graph of ๐^๐ At x = 0 f(0)=0 And, we note that f(๐ฅ)>0 for all ๐ฅ except 0 Thus, Minimum value of f(๐ฅ)=๐ at ๐ = 0 Also, Since f(๐)>๐ for all ๐ฅ except 0 So, we cannot find a maximum value Example: f(100)=(100)^2 = 10000 f(1000)= (1000)^2 = 1000000 Hence , we cannot find maximum value of f(๐ฅ) on ๐ โ 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.