Hey guys,
In class Friday we tried to find rules to find a relation between f(x)= x ^1/2 and other functions. Ideas which the class came up with are listed below:
1-When the denominator is smaller than the numerator, then it doesn't work. (Dj, Lauren, Kaduk)
2-If the power is less than one, then the graph appears to be similar to the square root function
3-If the denominator is odd and the numerator is even, then the graph is similar in the first quadrant but different otherwise (didn't write names, sorry)
4-A correlation can be found if the denominator is an even number (Myself - Alex)
I agree with the third point, and find it to be a very valid one. I think we should have spent more time on it in class. I do however, disagree with the first point, I found it to be almost the opposite for most of the graphs that I used.
Another point I wanted to make, was something I encountered with Dj while comparing graphs. He made the point that his graph worked, while I had the exact same function, but a different window, my graph showed the function would not work. Is this something which we should pay attention to? Or can this problem be solved simply by expressing the domain and range?
Thoughts?
Best,
Alex
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