Today in this activity, I found the inverse of y=x^2 by switching the x's and y's first. Then I took the square root of each side and was left with positive and negative square root of x. I took note that once I graphed both the positive and negative inverses of the equation, it looked like the function had been turned on its side. I didn't realize that that the inverse of the function was reflected over both the x and y axis. I also didn't think that folding the paper along the function y=x would make them line up almost exact. Although this function didn't have an inverse that was also a function, other functions can have inverses that are also functions. For example, the function y=x has an inverse that is also a function because it passes the vertical line test.
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