Find the maximum and the minimum values,if any,of the function $f$ given by $f(x) = x^{2}, x \in R$.

(N/A) The function is $f(x) = x^{2}$.
Since $x^{2} \geq 0$ for all $x \in R$,the minimum value of the function is $0$,which occurs at $x = 0$.
As $x \to \infty$ or $x \to -\infty$,$f(x) = x^{2} \to \infty$.
Therefore,the function $f(x) = x^{2}$ has no maximum value in $R$.