Sec 37-filled-2 - Math 1310 Section 3.7 Inverse Functions...

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Math 1310 Class Notes – Section 3.7, Page 1 of 7 Math 1310 Section 3.7 Inverse Functions One-to-one functions Some functions have inverse functions and others don’t. We’ll start by determining if a function has an inverse. To do this, we’ll need to determine if a function is one-to-one . Suppose f is a function with domain A . We say f is one-to-one if no two elements in A give the same value for the function. It is easiest to determine if a function is one-to-one by looking at its graph. We can use the Horizontal Line Test to determine if a function is one-to-one. Horizontal Line Test : A function is one-to-one if no horizontal line intersects its graph in more than one point. Example 1: Determine if the function whose graph is given is one-to-one. Example 2: Determine if the function whose graph is given is one-to-one.
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Math 1310 Class Notes – Section 3.7, Page 2 of 7 Example 3: Which of these functions are one-to-one? (a)
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This note was uploaded on 02/22/2012 for the course MATH 1310 taught by Professor Marks during the Summer '08 term at University of Houston.

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Sec 37-filled-2 - Math 1310 Section 3.7 Inverse Functions...

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