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Given a function f(x) = | x | for all x ∈ R. The function f is
  • a)
    differentiable at zero
  • b)
    continuous at zero
  • c)
    (a) is true (b) is false
  • d)
    both (a) and (b) are true
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Given a function f(x) = | x | for all x ∈ R. The function f isa)d...
If we plot the graph of given functionthen we see that graph is not breaking at X=0 hence continuous at 0 but we can draw infinitely many tangents at X=0 hence not differentiable .
option (c) is wrong and option (b) is correct
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Community Answer
Given a function f(x) = | x | for all x ∈ R. The function f isa)d...
Option (b) is correct
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Given a function f(x) = | x | for all x ∈ R. The function f isa)differentiable at zerob)continuous at zeroc)(a) is true (b) is falsed)both (a) and (b) are trueCorrect answer is option 'C'. Can you explain this answer?
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