Q1 of 168 Page 231

Find the maximum and minimum values, if any, of the following functions given by

f (x) = (2x – 1)2 + 3

It is given that f (x) = (2x – 1)2 + 3

Now, we can see that (2x – 1)2 ≥ 0 for every x ϵ R


⇒ f (x) = (2x – 1)2 + 3 ≥ 3 for every x ϵ R


The minimum value of f is attained when 2x – 1 = 0


2x -1 = 0



Then, Minimum value of


Therefore, function f does not have a maximum value.


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