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f(x)={:{(5, x le 1) ,(a+bx,1 lt x lt 3),...

`f(x)={:{(5, x le 1) ,(a+bx,1 lt x lt 3),(b+5x,3 le x lt 5),(30,xge5):}` then
(a) `f(x)` is discontiuous `AA` a `in R, b in R`
(b) `f(x)` is discontiuous if `a=0` &`b=5`
(c) `f(x)` is discontiuous if `a=5` &`b=0`
(d) `f(x)` is discontiuous if `a=-5` &`b=10`

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

Text Solution

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The correct Answer is:
D
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