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: $g(x) = x^3 + 1$

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Answer

Given: $g(x) = x^3 + 1$
$\text{As} \ \ \text{x}\rightarrow\infty\ \ \text{g}(\text{x)}\rightarrow\infty$
$\text{As}\ \ \text{x}\rightarrow-\infty\ \ \text{g}\text{(x)}\rightarrow-\infty$
Therefore, maximum value and minimum value of g(x) do not exist.

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