Find the maximum and minimum values, if any, of the function give… - Vidyadip

Question

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

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Answer

Given: $\text{h}\text{(x)}=\text{x}+1, \text{x} \in (-1,\ 1)\ \dots\text{(i)}$
Since $-1\leq \text{x}\leq1$
Adding 1 to both sides, $-1 + 1 < \text{x} + 1 < 1 + 1 \Rightarrow\ \ 0<\text{h}\text{(x)}<2$
Therefore, neither minimum value not maximum value of h(x) exists.

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