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Many students in high school and in college have a difficult time with the concept of inverse functions: what they are, when they exist, how they are used, how to calculate them, how to graph them, and how to interpret their findings.
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Thus, the inverse of a function is a function that looks at this relationship from the other viewpoint. So, ... When we graph functions and their inverses, we find that they mirror along the line x=y. This is only logical. From our definition, we know that for each (a,b) in f(x) there will be a (b,a) in f-1(x):
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Inverse function - Wikipedia, the free encyclopedia
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Part I: Definition, properties of inverse functions; 1 - Definition; Let function f be defined by the set of ordered pairs as follows: ... Only one to one functions have inverse functions. Check graphically (horizontal line test) and analytically that all 4 functions defined above are one to one functions.
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Objectives: In this tutorial, we define the inverse of a function. We discuss three different ways of determining whether a function has an inverse. Some examples are discussed. After working through these materials, the student should be able ... Drill in finding the inverses of functions.
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Drill - Finding Inverse Functions ... Problem:; Find the inverses of the following functions. ... Constructed with the help of Suzanne Cada.
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