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Broad Topics >

Advanced Algebra > Asymptotes

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

Plot the graph of x^y = y^x in the first quadrant and explain its
properties.

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

Can you make a curve to match my friend's requirements?

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

Sketch the members of the family of graphs given by y =
a^3/(x^2+a^2) for a=1, 2 and 3.

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

Investigate the family of graphs given by the equation x^3+y^3=3axy
for different values of the constant a.

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

Compares the size of functions f(n) for large values of n.