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Unformatted text preview: y = x 2 . If x > 1 , then f ( x ) = 2 x +1 , so the part of the graph to the right of x = 1 coincides with the line y = 2 x + 1 . EXAMPLE: Sketch the graph of the function f ( x ) =  x  . Solution: Recall that f ( x ) = { x if x x if x < Using the same method as in the previous example, we note that the graph of f coincides with the line y = x to the right of the yaxis and coincides with the line y =x to the left of the yaxis. EXAMPLES: 2 EXAMPLE: Which of the following are graphs of functions? Solution: (a) and (b) are graphs of functions, (c) and (d) are not. 3 4...
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This note was uploaded on 02/26/2012 for the course MATH 8650 taught by Professor Kiryltsishchanka during the Spring '12 term at NYU.
 Spring '12
 KIRYLTSISHCHANKA
 Calculus, Algebra

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