MATH 1007 Lecture Notes - Lecture 1: If And Only If, Farad

• School: Carleton University
• Department: Mathematics
• Course: MATH 1007
• Professor: Ranjeeta Mallick

Document Summary

Funcion: rule that assigns to each element x in a set a one and only one element, called f(x) in a set b. The set a is called the domain of f. let x r. the set of values f(x) running through all elements x in the domain is called the range of f. The grap of a funcion f is the set of all points (x,y) on the xy-plane such that x is on the domain of f and y=f(x) ** piecewise funcions, in this course, are called split funcions. Verical line test: a curve in the xy-plane is the graph of a funcion y=f(x) if each verical line intersects it in, at the most, one point. ** label domains like so: if f(x) = x. If f(x) = x domain: [0, ) domain: ( - , ) or. R ( ) open interval (not included)