2. Find the maximum and minimum values, if any, of the following functions given by (i) $f (x) = |x + 2| - 1$

Given function is
$f (x) = |x + 2| - 1$
$|x+2| \geq 0\\ |x+2| - 1 \geq -1$       $x \ \epsilon \ R$
Hence, minimum value occurs when |x + 2| = 0
x = -2
Hence, minimum value occurs at x = -2
and minimum value is
$f(-2) = |-2+2| - 1 = -1$
It is clear that there is no maximum value  of the given function $x \ \epsilon \ R$

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