The function defined by :
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2 marksMathematicsLimits, continuity and differentiabilityIntermediate value theorem, monotonicity and rootsModerateabout 2 min
DSE 2013 Question 21: Limits, continuity and differentiability
Answer and worked solution
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Plain-text version
The function defined by f(x)=x⁵+7x³+13x-18: (A) may have 5 real roots. (B) has no real root. (C) has 3 real roots. (D) has exactly 1 real root.
Also written as: The function defined by f(x)=x^5+7x^3+13x-18:
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 2013 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.