A non mathematical function is an oven which bakes cookies! I know that if I put chocolate chip cookie dough in the oven I get chocolate chip cookies. The output is dependent on the input, and unless I put in a different type of dough, the output will be the same for chocolate chip dough. I could also put carrots, a watch or a toy car. However, some things that fit may still be illegal, like how I can't put a kitten in the oven! Then some stuff, like pickup trucks, just won't fit at all. The domain ,all things that fit in the function, can be restricted in two ways: by physical fit or by human restriction. Come up with 3 non mathematical function but don't use the example above. Find something in the domain of 1 of your functions. Be sure to explain your reasoning. Then, find something not in the domain of 1 of your functions and explain why it isn't. Find a second function that you can compose with this first function and explain how it works now. What has happened to the domain and range? It's fine to do a third composition to a function that's already had a composition done. Composition can be as many layers as you want! This will be your longest post. (Hint : On composition your output on the first functions will be the input on the second function) Finally, what did you learn from this?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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FUNCTIONS.

Example;

A non mathematical function is an oven which bakes cookies! I know that if I put chocolate chip cookie dough in the oven I get chocolate chip cookies. The output is dependent on the input, and unless I put in a different type of dough, the output will be the same for chocolate chip dough. I could also put carrots, a watch or a toy car. However, some things that fit may still be illegal, like how I can't put a kitten in the oven! Then some stuff, like pickup trucks, just won't fit at all. The domain ,all things that fit in the function, can be restricted in two ways: by physical fit or by human restriction.

Come up with 3 non mathematical function but don't use the example above.

Find something in the domain of 1 of your functions. Be sure to explain your reasoning. Then, find something not in the domain of 1 of your functions and explain why it isn't. Find a second function that you can compose with this first function and explain how it works now. What has happened to the domain and range? It's fine to do a third composition to a function that's already had a composition done. Composition can be as many layers as you want! This will be your longest post. (Hint : On composition your output on the first functions will be the input on the second function)

Finally, what did you learn from this? Discuss your ideas on the relationship to the mathematical composition we are doing this week.

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