MATH 1300- Final Exam Guide - Comprehensive Notes for the exam ( 98 pages long!)

• School: York University
• Department: Mathematics and Statistics
• Course: MATH 1300
• Professor: Paul Skoufranis

Document Summary

Math 1300 lecture 1 notes four ways to represent a function. Introduction: functions arise whenever one quantity depends on another, consider the following four situations, the area a of a circle depends on the radius r of the circle. The rule that connects (cid:396) a(cid:374)d a is gi(cid:448)e(cid:374) (cid:271)(cid:455) the e(cid:395)uatio(cid:374) a r 2: with each positive number r there is associated one value of a, and we say that. A is a function of r: the human population of the world p depends on the time t, the table gives estimates of the world population pstd at time t, for certain years. In example a, for instance, r is the independent variable and a is the dependent variable. It"s helpful to thi(cid:374)k of a fu(cid:374)(cid:272)tio(cid:374) as a (cid:373)a(cid:272)hi(cid:374)e. If x , 0, then x is not in the domain of this function; that is, x is not an acceptable input, and the calculator will indicate an error.