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Resources tagged with Cubic functions similar to Calculus Analogies:

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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Sequences, Functions and Graphs > Cubic functions

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Patterns of Inflection

Stage: 5 Challenge Level: Challenge Level:1

Find the relationship between the locations of points of inflection, maxima and minima of functions.

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Curve Fitter 2

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you construct a cubic equation with a certain distance between its turning points?

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Fill Me up Too

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?

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Curve Fitter

Stage: 5 Challenge Level: Challenge Level:1

Can you fit a cubic equation to this graph?

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Cubic Spin

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Prove that the graph of f(x) = x^3 - 6x^2 +9x +1 has rotational symmetry. Do graphs of all cubics have rotational symmetry?

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Cubics

Stage: 4 and 5 Challenge Level: Challenge Level:1

Knowing two of the equations find the equations of the 12 graphs of cubic functions making this pattern.

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Real(ly) Numbers

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

If x, y and z are real numbers such that: x + y + z = 5 and xy + yz + zx = 3. What is the largest value that any of the numbers can have?