Weekly Challenge 43: A Close Match

Can you massage the parameters of these curves to make them match as closely as possible?

Weekly Challenge 44: Prime Counter

A weekly challenge concerning prime numbers.

Weekly Challenge 28: the Right Volume

Can you rotate a curve to make a volume of 1?

Weekly Challenge 5: Trigger

Stage: 5 Short Challenge Level:

To sketch any graph look for:

zeros;

turning points;

asymptotes;

positive values and negative values;

the evaluation of the function at key points, such as $0$, $\pm 1$ or the boundaries of the range or domain of the function (i.e. the possible input values and max/min output values).

Also, ask yourself: Does the graph vary smoothly from point to point?