Question

Let $$f(x) = \text{minimum}\{|x-1|, |x|, |x+1|\}$$, then the area bounded by $$f(x),\> x =\pm1$$ and $$y=0$$, in sq. units, is:

A
12
B
14
C
13
D
16

Solution

The correct option is A $$\displaystyle \frac{1}{2}$$As shown in the figure, we have to calculate area of the shaded region.Area $$=2\times\dfrac12\times1\times\dfrac12$$Area $$= \dfrac12$$Mathematics

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