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F(X)=| X+2 | on R. - Mathematics

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प्रश्न

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

योग
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उत्तर

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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अध्याय 18: Maxima and Minima - Exercise 18.1 [पृष्ठ ७]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 18 Maxima and Minima
Exercise 18.1 | Q 3 | पृष्ठ ७

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