Let $[x]$ denote the greatest integer function, and let m and n respectively be the numbers of the points, where the function $f(x)=[x]+|x-2|,-2
JEE · Math · previous-year question
- A.6
- B.9
- C.8correct
- D.7
Answer
C. 8
Explanation
$$f(x)=[x]+|x-2| \quad-2 $$f(x)= \{ -x, & -2 So $f(x)$ is not continuous at 4 points and not differentiable at 4 point So $\mathrm{m}+\mathrm{n}=4+4=8$
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