e , if the
domain of f is a singleton, f is a continuous function Rationalised 2023-24
 MATHEMATICS
108
Example 7 Is the function defined by f(x) = | x |, a continuous function Solution We may rewrite f as
f (x) =
, if
0
, if
0
x
x
x
x
−
<

≥

By Example 3, we know that f is continuous at x = 0