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Question
Find the maximum and minimum value, if any, of the function given by f(x) = |x + 2| − 1.
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Solution
Given function f(x) = |x + 2| - 1, f (x) ≥ -1; ∀ x ∈ R
|x + 2| has a minimum value of 0.
∴ Minimum value of f = -1
x + 2 = 0 i.e., when x = -2
|x + 2| can have maximum value infinity.
Hence, the maximum value does not exist.
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