Quiz: Points of Inflection and Sign Change of fʺ(x)
Edexcel 9MA0 A-Level Mathematics
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Welcome! Building on your knowledge of derivatives and concavity, this quiz will focus on points of inflection and how sign changes in fʺ(x) relate to them. Let’s dive in!
What is a point of inflection?
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Which of the following are true about points of inflection? (Select all that apply)
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A point of inflection occurs when fʺ(x) changes {{blank0}} and the curve changes {{blank1}}.
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Match the items on the left with their correct pairs on the right
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For f(x) = x³ − 3x² + 2, find the x-coordinate of the point of inflection.
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What does fʺ(x) > 0 mean about the curve?
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Match the items on the left with their correct pairs on the right
Which of these statements about points of inflection are false? (Select all that apply)
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For a curve with f(x) = x⁴ − 4x³ + 6x², what is true about the point where fʺ(x) = 0?
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