Answer to Question #48040 in Functional Analysis for Kirstie

Question

Just wanted to include a tad more information**

You are to design a real life object using at least 5 different types of functions. There are an infinite number of equations that will produce a shape that fulfils the design criteria, therefore uniqueness will be taken into consideration.

Your task is to design a UNIQUE real-life object using at least 5 different mathematical functions or relations. You can choose from any of the following (eg. linear, parabolic, hyperbolic, exponential, logarithmic, trigonometric, circles) that would be appropriate and accurate for your object.

You are to:
1. Submit a list of functions or relations that were used to make up your design . Each function must have accurate domains
2. Produce an accurate graph of your design from GRAPHmatica. This will justify the reasonableness of your results.
3. Include all working (rough drafts) for the development of your design
4. Fully justify your choice of each function and its appropriateness to the design