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Questions › DSE › DSE 2007 › Q11
1 markMathematics › Concavity, convexity and quasi-concavity › Quasi-concavity and quasi-convexityModerateabout 3 min

DSE 2007 Question 11: Concavity, convexity and quasi-concavity

Consider functions f:ℜ→ℜf:\Re\to\Ref:ℜ→ℜ. Which of the following functions is quasi-convex?

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Consider functions f:ℜ→ℜ. Which of the following functions is quasi-convex? (A) f(x)=x² (B) f(x)=cos x (C) f(x)=e^(-x) (D) f(x)=x⁻¹ if x≠ 0; f(x)=0 if x=0

Also written as: Consider functions f: Re -> Re. Which of the following functions is quasi-convex?

Concavity, convexity and quasi-concavity has come up 39 times in 6 exams since 2006.

What this question tests

This question is on Quasi-concavity and quasi-convexity, part of Concavity, convexity and quasi-concavity in Mathematics.

The weaker shape conditions defined by upper or lower level sets.

TestStop has 8 past-paper questions on this subtopic; the nearest in year are below.

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Question from the DSE 2007 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.