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PASSAGE - 3
Consider the function f : ( -∞,∞) →(-∞,∞) defined by
Q. Which of the following is true?
  • a)
    f (x) is decreasing on (–1, 1) and has a local minimum at x = 1
  • b)
    f (x) is increasing on (–1, 1) and has a local minimum at x = 1
  • c)
    f (x) is increasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1
  • d)
    f (x) is decreasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
PASSAGE - 3Consider the function f : ( -∞,∞) →(-&infi...

f '(x) = 0 ⇒ x = –1, 1 are the critical points.
∴ x = – 1 is a point of local maximum
and x = 1 is a point of local minimum.
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PASSAGE - 3Consider the function f : ( -∞,∞) →(-∞,∞) defined byQ.Which of the following is true?a)f (x) is decreasing on (–1, 1) and has a local minimum at x = 1b)f (x) is increasing on (–1, 1) and has a local minimum at x = 1c)f (x) is increasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1d)f (x) is decreasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1Correct answer is option 'A'. Can you explain this answer?
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PASSAGE - 3Consider the function f : ( -∞,∞) →(-∞,∞) defined byQ.Which of the following is true?a)f (x) is decreasing on (–1, 1) and has a local minimum at x = 1b)f (x) is increasing on (–1, 1) and has a local minimum at x = 1c)f (x) is increasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1d)f (x) is decreasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1Correct answer is option 'A'. 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 PASSAGE - 3Consider the function f : ( -∞,∞) →(-∞,∞) defined byQ.Which of the following is true?a)f (x) is decreasing on (–1, 1) and has a local minimum at x = 1b)f (x) is increasing on (–1, 1) and has a local minimum at x = 1c)f (x) is increasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1d)f (x) is decreasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for PASSAGE - 3Consider the function f : ( -∞,∞) →(-∞,∞) defined byQ.Which of the following is true?a)f (x) is decreasing on (–1, 1) and has a local minimum at x = 1b)f (x) is increasing on (–1, 1) and has a local minimum at x = 1c)f (x) is increasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1d)f (x) is decreasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1Correct answer is option 'A'. Can you explain this answer?.
Solutions for PASSAGE - 3Consider the function f : ( -∞,∞) →(-∞,∞) defined byQ.Which of the following is true?a)f (x) is decreasing on (–1, 1) and has a local minimum at x = 1b)f (x) is increasing on (–1, 1) and has a local minimum at x = 1c)f (x) is increasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1d)f (x) is decreasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of PASSAGE - 3Consider the function f : ( -∞,∞) →(-∞,∞) defined byQ.Which of the following is true?a)f (x) is decreasing on (–1, 1) and has a local minimum at x = 1b)f (x) is increasing on (–1, 1) and has a local minimum at x = 1c)f (x) is increasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1d)f (x) is decreasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of PASSAGE - 3Consider the function f : ( -∞,∞) →(-∞,∞) defined byQ.Which of the following is true?a)f (x) is decreasing on (–1, 1) and has a local minimum at x = 1b)f (x) is increasing on (–1, 1) and has a local minimum at x = 1c)f (x) is increasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1d)f (x) is decreasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1Correct answer is option 'A'. Can you explain this answer?, a detailed solution for PASSAGE - 3Consider the function f : ( -∞,∞) →(-∞,∞) defined byQ.Which of the following is true?a)f (x) is decreasing on (–1, 1) and has a local minimum at x = 1b)f (x) is increasing on (–1, 1) and has a local minimum at x = 1c)f (x) is increasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1d)f (x) is decreasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of PASSAGE - 3Consider the function f : ( -∞,∞) →(-∞,∞) defined byQ.Which of the following is true?a)f (x) is decreasing on (–1, 1) and has a local minimum at x = 1b)f (x) is increasing on (–1, 1) and has a local minimum at x = 1c)f (x) is increasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1d)f (x) is decreasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice PASSAGE - 3Consider the function f : ( -∞,∞) →(-∞,∞) defined byQ.Which of the following is true?a)f (x) is decreasing on (–1, 1) and has a local minimum at x = 1b)f (x) is increasing on (–1, 1) and has a local minimum at x = 1c)f (x) is increasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1d)f (x) is decreasing on (–1, 1) but has neither a local maximum nor a local minimum at x = 1Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
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