PUC Karnataka Science Class 12Department of Pre-University Education, Karnataka
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F(X)=| X+2 | on R. - PUC Karnataka Science Class 12 - Mathematics

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Question

f(x)=| x+2 | on R .

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.

  Is there an error in this question or solution?

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Solution F(X)=| X+2 | on R. Concept: Graph of Maxima and Minima.
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