For this activity, Mr. Kelly gave us the function y=x^2. We had to use desmos and draw the graph onto our plastic sheet. Next we had to find the inverse of y=x^2. We did that by making x=y^2. Then, we took the square root of both sides. Finally, x^2=+ or - the square root of x. We then graphed the function y=x took make our dotted line. We then folded the plastic sheet over the dotted line. The results of that is that the function y=x^2 is identical to the inverse function of that. In our example, our function did not have a inverse that was a function, but it is possible to have a function and its inverse be a function. FOr example, y=x. y=x is a function and its inverse is always a function. So, it is possible for a inverse to be a function.
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March 2015
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