1310-Notes-Sec-37-big-filled

# 1310-Notes-Sec-37-big-filled - Math 1310 Section 3.7...

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Math 1310 Class Notes – Section 3.7, Page 1 of 8 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 function. 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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Example 3: Which of these functions are one-to-one? (a)
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1310-Notes-Sec-37-big-filled - Math 1310 Section 3.7...

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