Today in class, we did the same old stuff. Checking over our answers and asking Cope for some explanation on how to do some problems from 8.2. Then, he told us why he was talking oddly. Simple explanation, he talked more than he usually does between teaching and tutoring. We didn't get into one of our usual philosophical conversations we usually do. Then we got onto the lesson with 8.3. We learned more about the secrets of inverses of functions. We learned that plugging in a function with its inverse would produce what you put in in the first place.
Here is an example if you had trouble understanding what I am saying:
g(x) is the inverse of f(x). So, f(g(x)=x and g(f(x))=x. This also can work with almost any number you put in. So, functions undo each other. This example is also known as the INVERSE FUNCTION THEOREM.
Finally, we learned that the graph of x^6 can be a function but only if x is greater than or equal to zero. Also, x^7 is a function either way.
Last but not least, FREE EARL!