Suppose the function is given by . Find the number of points in the closed interval at which .
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2 marksMathematicsLimits, continuity and differentiabilityIntermediate value theorem, monotonicity and rootsModerateabout 3 min
DSE 2010 Question 31: Limits, continuity and differentiability
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Suppose the function f:ℜ→ℜ is given by f(x)=x³-3x+b. Find the number of points in the closed interval [-1,1] at which f(x)=0. (A) None (B) At most one (C) One (D) At least one
Also written as: Suppose the function f: Re -> Re is given by f(x)=x^3-3x+b. Find the number of points in the closed interval [-1,1] at which f(x)=0.
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 DSE 2010 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.