Piecewise Function Continuity Conditions (Jee M… | ExamDuo
Ask Doubts
Log in
Continuity and Differentiability
Medium
Piecewise Function Continuity Conditions
Let f : R → R be a function defined as :
f (x) =
{
5
if
x
≤
1
a
+
b
x
if
1
<
x
<
3
b
+
5
x
if
3
≤
x
<
5
30
if
x
≥
5
Then, f is :
Ask about this question
SELECT ONE OPTION
A
continuous if a = 5 and b = 5
B
continuous if a = –5 and b = 10
C
continuous if a = 0 and b = 5
D
not continuous for any values of a and b
Check