MATH114 Lecture Notes - Lecture 1: Glossary Of Arithmetic And Diophantine Geometry, Farad, Piecewise

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Math 114 lecture 1 function (section 1. 1) We are going to study things that change, quantities that depend on other quantities. Function: is a rule that assigns to each element x in a set d a unique element f(x) in a set e. where: d is the domain. Example: f is a function that gives the height of a certain person in meters. P (2012) = 7 000 000 000 people. F(x) is the value of x f(seidon) = 1. 84 meters. This given interval, includes all numbers from 0. 55 to 3. 4. The set where f takes its values is the set of real numbers and the range of a function is the set of all values that the function takes. Example: f the height function has a range of [0. 55,3. 4] Example: f(x) = f (1) = (cid:883)=(cid:883) f (4) = 4=(cid:884) f (0) = (cid:882)=(cid:882)

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