Find the maximum and minimum values of the function
$
h(x) = x + 4, \quad x \in (-1, 1)
$

Question

Find the maximum and minimum values of the function  
$
h(x) = x + 4, \quad x \in (-1, 1)
$

Accepted Answer

Explanation: This is a linear function defined on an open interval. As $x \to -1$, $h(x) \to 3$, and as $x \to 1$, $h(x) \to 5$.  
However, neither 3 nor 5 is attained in the open interval $(-1, 1)$.  
$$
\text{Therefore, } h(x) \text{ has neither a maximum nor a minimum value in } (-1, 1).
$$

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