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 - 5876 Votes

3537

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.