Question:
$f(x)=|x+2|$ on $R$
Solution:
Given: $f(x)=|x+2|$
Now,
$|x+2| \geq 0$ for all $x \in \mathrm{R}$
Thus, $f(x) \geq 0$ for all $x \in \mathbf{R}$
Therefore, the minimum value of $f$ at $x=-2$ is 0 .
Since $f(x)$ can be enlarged, the maximum value does not exist, which is evident in the graph also. Hence, the function $f$ does not have a maximum value.