Precalculus / Path to Calculus

1. Find the equations of  linear, quadratic, exponential, and sinusoidal functions that go through the two points of your birthday.

2. Evaluate all the functions for an input x of your choosing such that an output y exists.

3. Solve every function for an output y of your choosing such that an input x exists.

4. Represent your birthday as a complex number in rectangular coordinates and then convert it to both polar as well as exponential form.

5. Square all three forms and show that they are geometrically the same by drawing a circle.