Quiz

Quiz: Points of Inflection and Sign Change of fʺ(x)

Edexcel 9MA0 A-Level Mathematics

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Steps in this lesson (10)

1
Text

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!

2
Multiple ChoiceInteractive

What is a point of inflection?

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3
Multi-SelectInteractive

Which of the following are true about points of inflection? (Select all that apply)

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4
Fill in the BlankInteractive

A point of inflection occurs when fʺ(x) changes {{blank0}} and the curve changes {{blank1}}.

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5
MatchingInteractive

Match the items on the left with their correct pairs on the right

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6
Math EquationInteractive

For f(x) = x³ − 3x² + 2, find the x-coordinate of the point of inflection.

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7
Multiple ChoiceInteractive

What does fʺ(x) > 0 mean about the curve?

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8
typedAnswer

Match the items on the left with their correct pairs on the right

9
Multi-SelectInteractive

Which of these statements about points of inflection are false? (Select all that apply)

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10
Multiple ChoiceInteractive

For a curve with f(x) = x⁴ − 4x³ + 6x², what is true about the point where fʺ(x) = 0?

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