# Resources tagged with: Cubic functions

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Broad Topics > Functions and Graphs > Cubic functions ### Patterns of Inflection

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

Can you fit a cubic equation to this graph? ### Curve Fitter 2

##### Age 16 to 18 Challenge Level:

Can you construct a cubic equation with a certain distance between its turning points? ### Exploring Cubic Functions

##### Age 14 to 18 Challenge Level:

Quadratic graphs are very familiar, but what patterns can you explore with cubics? ### Cubic Spin

##### Age 16 to 18 Challenge Level:

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

##### Age 14 to 16 Challenge Level:

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? ### Real(ly) Numbers

##### Age 16 to 18 Challenge Level:

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?