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Questions › JNU › JNU SIS 2017 › Q7
2 marks, −1Mathematics › Concavity, convexity and quasi-concavity › Quasi-concavity and quasi-convexityHardabout 3 min

JNU SIS 2017 Question 7: Concavity, convexity and quasi-concavity

Consider the function UUU defined on R2\mathbb{R}^2R2, where U(x, y)=3x+yU(x,\ y) = \sqrt{3x + y}U(x, y)=3x+y​.

Which of the following statements is true?

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Plain-text version

Consider the function U defined on ℝ², where U(x, y) = √(3x + y). Which of the following statements is true? (A) U is strictly concave. (B) U is strictly quasi-concave. (C) U is both strictly concave and strictly quasi-concave. (D) U is both concave and quasi-concave.

Also written as: Consider the function U defined on R^2, where U(x, y) = sqrt(3x + y). Which of the following statements is true?

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.

  • IIT JAM 2021 · Q21Let f, g: ℝ → ℝ be f(x) = xe^(-x) and g(x) = x|x|. Then, on ℝ,
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Question from the JNU SIS 2017 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.