Find the maximum and minimum values, if any of the following function given by:
$h (x) = x + 1, x \in (- 1, 1)$

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Solution

$h (x) = x + 1$
$h^{'} (x) = 1 > 0 \Rightarrow h (x)$ is strictly increasing function
Hence in the given interval $(- 1, 1)$
$h_{m a x} = h (1) = 1 + 1 = 2$ and $h_{m i n} = - 1 + 1 = 0$

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