Rationalised 2023-24
CONTINUITY AND DIFFERENTIABILITY
117
Discuss the continuity of the function f, where f is defined by
14 3, if 0
1
( )
4, if 1
3
5, if 3
10
x
f x
x
x
≤
≤
=
<
<

≤
≤

15 2 , if
0
( )
0,
if 0
1
4 , if
>1
x
x
f x
x
x
x
<
=
≤
≤


16 2, if
1
( )
2 , if
1
1
2,
if
1
x
f x
x
x
x
−
≤ −
=
− <
≤

>

17