Find the maximum and minimum values of $f,$ if any,of the function given by $f(x)=|x|, x \in R.$
(N/A) From the graph of the given function,note that:
$f(x) \geq 0$ for all $x \in R$ and $f(x)=0$ if $x=0.$
Therefore,the function $f$ has a minimum value of $0$ and the point of minimum value of $f$ is $x=0.$
Also,the graph clearly shows that $f$ has no maximum value in $R$ and hence no point of maximum value in $R.$
$f(x) \geq 0$ for all $x \in R$ and $f(x)=0$ if $x=0.$
Therefore,the function $f$ has a minimum value of $0$ and the point of minimum value of $f$ is $x=0.$
Also,the graph clearly shows that $f$ has no maximum value in $R$ and hence no point of maximum value in $R.$
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