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The function y=|2 - 3x|
  • a)
    is continuous ∀ x ∈ R and differentiable ∀ x ∈ R
  • b)
    is continuous ∀ x ∈ R and differentiable ∀ x ∈ R except at x= 3/2
  • c)
    is continuous ∀ x ∈ R and differentiable ∀ x ∈ R except at x= 2/3
  • d)
    is continuous ∀ x ∈ R except x=3 and differentiable ∀ x ∈ R
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The function y=|2 - 3x|a)is continuous ∀ x ∈ R and differe...

as y is polynomial it is continuous and differentiable at all points but don't know at = 2/3

LL = RL = f(a) so y is continuous 

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The function y=|2 - 3x|a)is continuous ∀ x ∈ R and differentiable ∀ x ∈ Rb)is continuous ∀ x ∈ R and differentiable ∀ x ∈ R except at x= 3/2c)is continuous ∀ x ∈ R and differentiable ∀ x ∈ R except at x= 2/3d)is continuous ∀ x ∈ R except x=3 and differentiable ∀ x ∈ RCorrect answer is option 'C'. Can you explain this answer?
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