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The function f(x) = max {(1 – x), (1 + x), 2}, x ∈ ( -∞,∞) is
  • a)
    continuous at all points (1995)
  • b)
    differentiable at all points
  • c)
    differentiable at all points except at x = 1 and x = – 1
  • d)
    continuous at all points except at x = 1 and x = –1, where it is discontinuous
Correct answer is option 'A,C'. Can you explain this answer?
Verified Answer
The function f(x) = max {(1 – x), (1 + x), 2}, x ∈ ( -&infi...
From graph it is clear that f (x) is continuous every where and also differentiable everywhere except at  x = 1 and – 1.
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The function f(x) = max {(1 – x), (1 + x), 2}, x ∈ ( -∞,∞) isa)continuous at all points (1995)b)differentiable at all pointsc)differentiable at all points except at x = 1 and x = – 1d)continuous at all points except at x = 1 and x = –1, where it is discontinuousCorrect answer is option 'A,C'. Can you explain this answer?
Question Description
The function f(x) = max {(1 – x), (1 + x), 2}, x ∈ ( -∞,∞) isa)continuous at all points (1995)b)differentiable at all pointsc)differentiable at all points except at x = 1 and x = – 1d)continuous at all points except at x = 1 and x = –1, where it is discontinuousCorrect answer is option 'A,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The function f(x) = max {(1 – x), (1 + x), 2}, x ∈ ( -∞,∞) isa)continuous at all points (1995)b)differentiable at all pointsc)differentiable at all points except at x = 1 and x = – 1d)continuous at all points except at x = 1 and x = –1, where it is discontinuousCorrect answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The function f(x) = max {(1 – x), (1 + x), 2}, x ∈ ( -∞,∞) isa)continuous at all points (1995)b)differentiable at all pointsc)differentiable at all points except at x = 1 and x = – 1d)continuous at all points except at x = 1 and x = –1, where it is discontinuousCorrect answer is option 'A,C'. Can you explain this answer?.
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