Graph of this
function is given in the Fig 5 6 Note that to graph
this function we need to lift the pen from the plane
of the paper, but we need to do that only for those points where the function is not
defined Example 13 Discuss the continuity of the function f given by
f (x) = 
,2
if
0
, if
0
x
x
x
x
≥

<

Solution Clearly the function is defined at
every real number