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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
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B
14
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C
13
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D
16
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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 $$= \dfrac12$$
384298_34847_ans_d6fb1e76b9fd4aafb79f889ceba5de0b.png

Mathematics

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