MAT 210 Study Guide - Final Guide: Real Number, Marginal Cost, If And Only If
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MAT 210 Full Course Notes
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Mat 210 - lecture 1 - introduction and limits: numerical & graphical viewpoints. Natural numbers (1, 2, 3, 4, ) Integers (-2, -1, 0, 1, 2, 3, 4, ) Rational numbers ( m/n - expressed as quotient) Real numbers (every number, fills up number line) or boldface. Vertical line test: x-value is to exactly one y-value. Graphically: ( x, y ) ; ( x, f (x) ) Analytically: f (x) = x2 + x + 1. Mat 210 - lecture 2 - limits and continuity. A discontinuity is a break in the graph. All other points are continuous, unless more than one discontinuity is present. F ( x ) is continuous at a. F ( x ) as the limit of x as it approaches a exists. F ( x ) as the limit of x as it approaches a = f ( a ) Every polynomial function is continuous for all real numbers.