Inverse Functions

Can we change the function y = x² so that it becomes one to one?
Remember that:

Only one to one functions can have an inverse.
There is a graphical test for inverse functions and that is if a horizontal line intercepts the graph of a function only once any place on the graph then that function is one to one.



Yes we can restrict the domain of y = x² so that x cannot be less than 0. The graph of this
restricted function is below. As you can see it will pass the horizontal line test.




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