Let f(x) = ([x]+1)/({x}+1) for f: [0, (...

Let `f(x) = ([x]+1)/({x}+1) ` for `f: [0, (5)/(2) ) to ((1)/(2) , 3]`, where `[]` represents the greatest integer function and `{}` represents the fractional part of x.
Draw the graph of `y= f(x)`. Prove that `y=f(x)` is bijective. Also find the range of the function.

A

f(x) is injective discontinuous funtion

B

f(x) f(x) is surjective non - differntiable function .

C

` min( lim_( x to 1^(-)) f(x) , lim_(x to 1^(+)) f(x))= f(1).`

D

max ( x values of point of discontinuity function .

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The correct Answer is:

A, B, D

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