Question
Find the maximum and minimum value, g(x) = x3 + 1

Answer

It is given that g(x) = x3 + 1
Now,
x $\in$ R
$\Rightarrow-\infty \leq x \leq \infty$ 
$\Rightarrow-\infty \leq x^{3} \leq \infty$ 
$\Rightarrow-\infty \leq x^{3}+1 \leq \infty$ 
The function g neither has a maximum value nor a minimum value.

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