The real valued function has a point of inflexion
Tap an option to check your answer.
4 marks, −1MathematicsConcavity, convexity and quasi-concavityTesting concavity and convexityEasyabout 1 min
JNU SIS 2014 Question 4: Concavity, convexity and quasi-concavity
Answer and worked solution
Checking your account…
Plain-text version
The real valued function f(c) = (c + 2)³ - 8 has a point of inflexion (A) at -2 (B) at 2 (C) at 8 (D) nowhere on the real line
Also written as: The real valued function f(c) = (c + 2)^3 - 8 has a point of inflexion
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.
Similar questions from other papers
- Which of the following statements is not correct?
- Let 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?
- A 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.
- The function e^(-1/2x²) is:
- Let 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 SIS 2014 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.