Consider the set . This set is
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0 marksMathematicsConcavity, convexity and quasi-concavityConvex sets and functionsModerateabout 2 min
DSE 2016 Question 17: Concavity, convexity and quasi-concavity
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Consider the set {x,y∈ℝ₊×ℝ| y≤ln (x)-e^x}. This set is (A) a linear subspace of ℝ² (B) Convex (C) convex and linear subspace of ℝ² (D) neither convex nor linear subspace of ℝ²
Also written as: Consider the set {x,y in R_+*R| y<=ln (x)-e^x}. This set 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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Question from the DSE 2016 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.