Question

Create a one-to-one function. It is very important that your function is one-to-one because you will find its inverse. You may not use the function y = x as your one-to-one function. Post a picture of your function's graph State the window used to graph your function. Carefully choose your window so that it shows as much of the function as possible. Find the inverse of your function.

Answer 1

Answer:

A function f is 1 -to- 1 if no two elements in the domain of f correspond to the same element in the range of f .  In other words, each x in the domain has exactly one image in the range.  And, no y in the range is the image of more than one x in the domain.

If the graph of a function f is known, it is easy to determine if the function is 1 -to- 1 .  Use the Horizontal Line Test.  If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 .

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