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Unformatted text preview: c circlecopyrt Kendra Kilmer January 20, 2009 Section 2.1  Functions Example 1: Sketch a graph for each of the following equations: a) 2 x + y = 8 b) x 2 + y 2 = 1 c) y = x 2 + 1 Which of the above are functions? 1 c circlecopyrt Kendra Kilmer January 20, 2009 Definition: A function is a rule that assigns to each element x in the domain exactly element in the range. The is the set of all values of the independent variable (typically x ) that produce real values for the dependent variable (typically y ). The is the set of all possible y values as x varies throughout the domain. Example 2: Find the domain and range of each function in Example 1. Vertical Line Test: An equation defines a if each vertical line in the coordinate system passes through at most one point on the graph of the equation. Example 3: Determine whether each is a function of x . a) 4 22424 2 4 b) 2 44 2 4224 c)2424 2 4 2 4 2 c circlecopyrt Kendra Kilmer January 20, 2009 Function Notation: If the correspondence is a function we use the notation...
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This note was uploaded on 03/27/2012 for the course MATH 142 taught by Professor Drost during the Fall '08 term at Texas A&M.
 Fall '08
 Drost
 Equations

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