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Dristi Vashishtha posted an Question
June 10, 2022 • 20:30 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
7) which of the following statements are true? a. every monotonic function defined on a finite interval is bounded. b. if f: la,bc, d is continuous and monotoni
7) Which of the following statements are true? A. Every monotonic function defined on a finite interval is bounded. B. If f: la,bc, d is continuous and monotonic, then it is surjective. C. Every monotonic function defined on a finite interval attains its bounds. D. If fis monotonic on finite interval (a, b), then set of discontinuities of f in (a, b) is at most countable. Choose the correct answer from the options given below. [Question ID = 9584] 1. A and C only [Option ID- 38333] . A and B only TOption ID= 38334] . A, C and D ony [option ID = 38335] 4. 5 and D oniy [Option lD 38336]
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Anonymous User![best-answer]()
f(x) =1/x defined in[0,1] is not bounded and not attached bounds so 4th true
but 1/x is not monotonic we are talking about monotonic functions
1/x is monotonic decreasing function
monotonic means increase or decrease