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Let f(x) = x2 - 2x + 2 be a continuous function defined on x ∈ [1, 3]. The point x at which the tangent of f(x) becomes parallel to the straight line joining f(1) and f(3) is
  • a)
    3
  • b)
    0
  • c)
    2
  • d)
    1
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Let f(x) = x2 - 2x + 2 be a continuous function defined on x ∈ [1...
The given function f(x) = x^2 - 2x^2 can be simplified to f(x) = -x^2.

To determine the domain of the function, we need to find the values of x for which the function is defined. Since the function is a polynomial, it is defined for all real numbers. Therefore, the domain of the function is (-∞, ∞).

To determine the continuity of the function, we need to check if there are any points where the function is discontinuous. A polynomial function is continuous for all real numbers, so f(x) = -x^2 is continuous on its entire domain (-∞, ∞).

In summary, the function f(x) = -x^2 is a continuous function defined on all real numbers.
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Community Answer
Let f(x) = x2 - 2x + 2 be a continuous function defined on x ∈ [1...
Concept:
By lagrangian mean value theorem,

Calculation:
Given:
f(x) = x2 – 2x + 2, x ϵ [1, 3]
By lagrangian mean value theorem

c = 2
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Let f(x) = x2 - 2x + 2 be a continuous function defined on x ∈ [1, 3]. The point x at which the tangent of f(x) becomes parallel to the straight line joining f(1) and f(3) isa)3b)0c)2d)1Correct answer is option 'C'. Can you explain this answer?
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Let f(x) = x2 - 2x + 2 be a continuous function defined on x ∈ [1, 3]. The point x at which the tangent of f(x) becomes parallel to the straight line joining f(1) and f(3) isa)3b)0c)2d)1Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Let f(x) = x2 - 2x + 2 be a continuous function defined on x ∈ [1, 3]. The point x at which the tangent of f(x) becomes parallel to the straight line joining f(1) and f(3) isa)3b)0c)2d)1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let f(x) = x2 - 2x + 2 be a continuous function defined on x ∈ [1, 3]. The point x at which the tangent of f(x) becomes parallel to the straight line joining f(1) and f(3) isa)3b)0c)2d)1Correct answer is option 'C'. Can you explain this answer?.
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