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Given f(x)={2x,xlt0, 0,xge0}"then "f(x) ...

Given `f(x)={2x,xlt0, 0,xge0}"then "f(x)` is

A

discontinuous and not differentiable at x = 0

B

continuous and diferentiable at x = 0

C

discontinuous and differentiable at x = 0

D

continuous and not differentiable at x = 0

Text Solution

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continuous and not differentiable at x = 0
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Knowledge Check

  • The point(s), at which the function f given by f(x) = {{:((x),xlt0),(-1,xge0):} is continuous, is/are:

    A
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  • If f(x)={(2x, xlt0),(2x+1, xge0):} , then

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    f(|x|) is continuous at x=0
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    D
    None of the above

  • Let f(x)={{:(0,x lt 0),(x^(2),xge0):} , then for all values of x

    A
    f is continous and differentiable
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    f is differentiable but not continous
    C
    f is continous but not differentiable
    D
    none of the above

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