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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


Question ID - 56565 | Toppr 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

1 Answer - 5876 Votes

3537

Answer Key : (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.



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