Vertical line test works for all functions y=whatever, but a function of x=whatever could be a legit function and not pass the test, and any instance of y^2=something could also not pass the test and still be legit, like a circle, or any polar coordinate graph.
You are right in this case though. **** those stairs.
I just assume it wouldn't make sense given the proposed circumstances of the function, skill level vs. time spent. How can one have multiple skills at something and then not? But I guess that question's not mathematical as much as it is philosophical. And I assume it's "y=", since time progresses linearly no matter what, and skill level only comes with time. Even if the variables were switched, it would then fail the horizontal line test. I also feel like it wouldn't work as a "y^2" function because of the way time plays in to the function, but who knows?
You raise a fair point, sir. This is why properly labeled axes are so important.
I don't think it's so crazy. After having spent some time in the carpentry business you get to a point where you have three discreet levels of ability. The question is what makes you operate in each one, it could be simply the mood or random
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would make sense to draw a graph like that.
It's not that crazy if we accept that, in some intervals of time, you get actually worse as you spend time in the carpentry business.
The crew I used to work for had 3 people capable of building stairs. My father, who'd been in the business for 20 years; Chase, who'd been in the business for about 7 years and always built them perfectly the second time; and myself, the only one to bother actually learning math, and the only one to be proficient after 2 years.