Inverse Functions

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.



from the graph we can tell that y = x2 is not one to one.
Can we change the function y = x2 so that it becomes one to one? (Try to answer the
question before checking the answer.)
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We can tell from the below graph that y = x3 is one to one. The horizontal line will cross the
graph at only one point regardless of where we locate the horizontal line.



What trig functions are one to one? Try to answer the question before going to the next page.   next

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