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The function f(x) ={{:( 5x-4, " for " ...

The function `f(x) ={{:( 5x-4, " for " 0 lt x le 1) ,( 4x^(2) - 3x, " for" 1 lt x lt 2 ),( 3x + 4 , "for" x ge2):}is `

A

continuous at x-1 and x=2

B

continuous at x=1 but not derivable at x=2

C

continuous at x=1 and 2 but not derivable at x=1

D

continuous at x=1 and 2 but not derivable derivable at x=1 and x=2

Text Solution

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The correct Answer is:
A, B
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