Draw the graph of `y =(1)/({x})`, where `{*}` denotes the fractional part function.

Explanation

`y= f(x)= (1)/({x})`
The period of `y= {x}` is 1, so the period of `y= f(x) = (1)/({x})` is also 1.
Further, the function is defined if `{x} ne 0 or x notin I`.
Since the function is periodic, we need to draw the graph for `0 lt x lt 1` only.
For this interval, `{x} = x`.
`therefore " "y = f(x)= (1)/(x)`, for `0 lt x lt 1`
Graph of the above function is as shown in the following figure.

For other intervals, the graph will be repeated.
Hence the graph of `y= f(x)` is as shown in the following figure.

Here `x=n, n in Z` are asymptotes.