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Find the maximum and the minimum values, if any, without using derivatives of the following functions : f(x) = – |x + 1| + 3 on R |
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Answer» We know that, – |x + 1| ≤ 0 for every x ∈ R. Therefore, g(x) = – |x + 1| + 3 ≤ 3 for every x∈ R. The maximum value of g is attained when |x + 1| = 0 |x + 1| = 0 x = – 1 Since, Maximum Value of g = g( – 1) = – | – 1 + 1| + 3 = 3 Hence, function g does not have minimum value. |
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