4.2.notebook December 04, 2014 4.2 Introduction to Functions Are all rectangles squares? Are all squares rectangles? Relations and Functions are related in the same way that rectangles and squares are. Nov 3010:50 AM A function has each of its x-values (domain) corresponding to exactly one yvalue (range). So, all functions are relations, but not all relations are functions! Nov 301:13 PM 1 4.2.notebook December 04, 2014 Which of these relations are functions? 3 1 2 2 1 2 1 3 4 3 2 1 4 1 2 4 3 Nov 301:16 PM Which one of these relations are functions? {(4, 2), (5, 4), (0, 0), (8, 4)} {(1, 6), (8, 9), (1, 4), (3, 10)} Nov 301:21 PM 2 4.2.notebook December 04, 2014 If you are given a GRAPH, the easiest way to tell whether or not it's a function is to use the VERTICAL LINE TEST. **Hint: Use your pencil/pen/finger as the vertical line... Examples on page 266 & 267 of book... Nov 301:26 PM Function Notation: means the same thing as is read "f of x" Nov 302:05 PM 3 4.2.notebook December 04, 2014 Evaluate the following function: Given Find: Nov 302:09 PM Evaluate the following function: Given Find: Nov 302:13 PM 4 4.2.notebook December 04, 2014 Some problems to try: Page 273 # 5 - 58 down the column Nov 302:15 PM 5
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