Ch3. Inverse Functions .3.7.ppt - Chapter 3 Functions and...

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Chapter 3Functions and GraphsSection 3.7Inverse functions
Objectives:By the end of this section, you will be able to:verify inverse functionsfind inverse of a functionsuse the horizontal line test to determine if a function has an inverse functionfind the inverse of a function
3A functionis a mapping from its domain to its range so that each element, x, of the domain is mapped to one, and only one, element, f(x), of the range.No two ordered pairs have same first, and different second.A function is one-to-oneif each element f(x) of the range is mapped from one, and only one, element, x, of the domain.No two ordered pairs have same second , and different first)4,5(),4,3(),2,1(f)7,6(),6,5(),4,3(),2,1(RFunctions
Relations, Functions & one to one1:1 Functions are a subset of Functions. They are special functions where for every x, there is one y, and for every y, there is one x.RelationsReminder: The definition of function is, for every x there is only one y.

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