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Questions › DSE › DSE 2020 › Q37
4 marks, −1Mathematics › Concavity, convexity and quasi-concavity › Convex sets and functionsModerateabout 3 min

DSE 2020 Question 37: Concavity, convexity and quasi-concavity

The set {(x,y)∈R2∣x>0 and y≤ln⁡x−ex}\{(x,y)\in\mathbb{R}^2\mid x>0 \text{ and } y\le \ln x-e^{x}\}{(x,y)∈R2∣x>0 and y≤lnx−ex} is

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The set {(x,y)∈ℝ²| x>0 and y≤ ln x-e^x} is (A) a linear subspace of ℝ² (B) convex (C) non-convex (D) a convex polytope

Also written as: The set {(x,y) in R^2| x>0 and y<= ln x-e^x} is

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

What this question tests

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

Sets and functions with no dents, and the inequalities that define them.

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Practise Concavity, convexity and quasi-concavityMore on Convex sets and functions

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Question from the DSE 2020 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.