Which of the following must be true of a continuous function on ?
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2 marks, −1MathematicsLimits, continuity and differentiabilityIntermediate value theorem, monotonicity and rootsModerateabout 1 min
JNU SIS 2018 Question 7: Limits, continuity and differentiability
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Which of the following must be true of a continuous function on (a, b)? (A) The function achieves its maximum on (a, b) (B) The function is bounded (C) If f(a) = 2 and f(b) = 5, then f(c) = 3, for some c ∈ (a, b) (D) None of the above
Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.
What this question tests
This question is on Intermediate value theorem, monotonicity and roots, part of Limits, continuity and differentiability in Mathematics.
Using continuity and the sign of the derivative to show roots exist or are unique.
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Question from the JNU SIS 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.