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Question
f(x)=| x+2 | on R .
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Solution
Given: f(x) = \[\left| x + 2 \right|\]
Now,
\[\left| x + 2 \right| \geq 0\] for all x \[\in\] R
Thus, f(x) \[\geq\] 0 for all x \[\in\] 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.
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