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Let f(x)={(sin(pix)/2, -2lexlt0),(({x})^...

Let `f(x)={(sin(pix)/2, -2lexlt0),(({x})^(2),0lexlt1),(([x]),1lexle2):}` then choose correct option(s) `y=f(x)` is `[-2,2]` is
( where [.] & {.} denote greatest integer function & fractional respectively)

A

Range of `f(x)` is `[-1,1]`

B

number of point(s) of discontinuity is 2

C

number of points (s) of non differentiability in`(-2,2)` is 2

D

number of solution of `f(x)=x/2` is 2

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