Find the maximum and minimum values, if any of the following functions.
$f (x) = - | x + 1 | + 3$

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Solution

$- \infty \leq x \leq \infty - \infty \leq x + 1 \leq \infty 0 \leq | x + 1 | \leq \infty - \infty \leq - | x + 1 | \leq 0 - \infty \leq - | x + 1 | + 3 \leq 3 s o m a x i m u m v a l u e o f f u n c t i o n i s 3 a n d t h e r e i s n o m i n i m u m v a l u e$

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