Skip to content
We use only essential cookies to keep you signed in and remember your preferences. See our Cookie Policy.
TestStop
MocksPracticeResourcesIndiaBlogPricing
Sign in
Questions › JNU › JNU SSS 2016 › Q18
1 markMathematics › Concavity, convexity and quasi-concavity › Testing concavity and convexityEasyabout 1 min

JNU SSS 2016 Question 18: Concavity, convexity and quasi-concavity

The function f(x)=x2f(x) = x^2f(x)=x2 is

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

The function f(x) = x² is (A) strictly convex (B) strictly concave (C) convex when x < 0 and concave when x > 0 (D) None of the above

Also written as: The function f(x) = x^2 is

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

What this question tests

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

Checking concavity or convexity from a definition, derivatives or operations that preserve it.

TestStop has 17 past-paper questions on this subtopic.

Practise Concavity, convexity and quasi-concavityMore on Testing concavity and convexity

Similar questions from other papers

  • CUET-PG 2025 · Q4Which of the following statements is not correct?
  • IIT JAM 2024 · Q9Let S₁ = {(x,y) ∈ R²: x + y ≥ 1, x + y ≤ 2, y ≥ x², x,y ≥ 0} and S₂ = {(x,y) ∈ R²: x + y ≥ 1, x + y ≤ 2, y ≤ x², x,y ≥ 0}. Then, which of the following is CORRECT?
  • CUET-PG 2023 Shift 1 · Q28A function is strictly concave in the interval I, if for all a, b ∈ I and λ ∈ (0, 1) 1. f[(1-λ)a + λ b] > (1-λ)f(a) + λ f(b) 2. f[(1-λ)a + λ b] < (1-λ)f(a) + λ f(b) 3.
  • CUET-PG 2023 Shift 2 · Q47The function e^(-1/2x²) is:
  • IIT JAM 2023 · Q2Let f, g: ℝ → ℝ be f(x)=x+2 for x≤1, 2x+1 for x>1; and g(x)=2x for x≤2, x+2 for x>2. Then

Question from the JNU SSS 2016 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.