Let f : R 
R be a function defined as :F(x)=
Then, f is:
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
R be a function defined as :F(x)= Then, f is: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
Question ID - 56565 | SaraNextGen Top Answer Let f : R R be a function defined as :F(x)= Then, f is:
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
Let f : R R be a function defined as :F(x)= Then, f is:
|
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 |
1 Answer
127 votes
Answer Key / Explanation : (d) -
f (1) =5, f (1−) =5, f (1+) = a + b
f (3−) =a+3b, f (3) = b+15, f (3+) = b+15
f (5−) =b+25; f (5) =30, f (5+) = 30
from above we concluded that f is not continuous for any values of a and b.
127 votes
Answer Link
127