MATH 1560- Final Exam Guide - Comprehensive Notes for the exam ( 74 pages long!)
Document Summary
We start by assuming that you are familiar with the idea of a. Set and the set theoretic symbol ( an element of ). The set d of all possible input values is called the domain of the function. The set of all values of f (x) as x varies throughout d is called the range of the function. The fact that each number in the domain of f is assigned a unique number in the range of f , implies that the graph of f will satisfy the vertical line test. That is, a vertical line will intersect the graph of a function in at most one point. When nding domains, we usually look for bad values of x which must be excluded from the domain. Primary among the restrictions of the mathematical world is the fact that you cannot now, nor in the future, divide by 0!!!