Question
Find the maximum or minimum values, if any, of the following functions without using the derivatives:
– | x + 1 | + 3
Solution
Let f (x) = – | x + 1 | + 3
Now | x + 1 | ≥ 0 ∀ x ∊ R
⇒ – | x + 1 | ≥ 0 ∀ x ∊ R ⇒ – | x + 1 | + 3 ≤ 3 ∀ a ∊ R
∴ maximum value of f (x) is 3 and it has no minimum value.
