5 Fig  5 4
Fig  5 5
Rationalised 2023-24
CONTINUITY AND DIFFERENTIABILITY
111
Example 12 Discuss the continuity of the function defined by
f(x) =
2, if
0
2, if
0
x
x
x
x
+
<

− +
>

Solution Observe that the function is defined at all real numbers except at 0