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Unformatted text preview: c circlecopyrt Kendra Kilmer January 4, 2012 Section 1.1 - Four Ways to Represent a Function 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? 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. If the correspondence is a function we use the notation f ( x ) read f of x . Ordered pairs of the form ( x , y ) can be written as ( x , f ( x )) . Example 2: Find the domain and range of each function in Example 1. 1 c circlecopyrt Kendra Kilmer January 4, 2012 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....
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- Fall '08