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Graphs of Functions and Relations (2.4) Relation vs. function Domains and ranges Final section in the chapter! POD—SAT Prep SAT #1. Send responses via Navigator. If 0 < x < 1, then which of the following must be true? I. 2x < 2 a. b. c. d. e. I only II only I and II only II and III only I, II, and III II. x – 1 < 0 III. x2 < x POD—SAT Prep SAT #1. Send responses via Navigator. If 0 < x < 1, then which of the following must be true? I. 2x < 2 a. b. c. d. e. I only II only I and II only II and III only I, II, and III II. x – 1 < 0 III. x2 < x POD—SAT Prep SAT #2. Send responses via Navigator. Given 4 percent of (2a + b) is 18, and a is a positive integer, what is the greatest possible value of b. a. b. c. d. e. 450 449 448 43 8 POD—SAT Prep SAT #2. Send responses via Navigator. Given 4 percent of (2a + b) is 18, and a is a positive integer, what is the greatest possible value of b. a. b. c. d. e. 450 449 448 43 8 POD—SAT Prep SAT #3. Send responses via Navigator. If a -3 = 7, then 2a -14 = a. b. c. d. e. -6 -4 2 4 6 POD—SAT Prep SAT #3. Send responses via Navigator. If a -3 = 7, then 2a -14 = a. b. c. d. e. -6 -4 2 4 6 Two key concepts today 1. Does the graph of an equation pass the VLT? 2. What are the possible values for x and y in the graph? Graph y = x2 - 3 What is the name of this type of curve? Is it a function? What is its domain and range? Graph x = y2 - 3 Draft a table using x = -2, 1, 6, and 13. What does it look like? It’s a relation-- is it also a function? Which of these is a function? What do the graphs look like? y x x y Which of these are functions? They are all relations, but two are not functions. Divide into five teams and see what you come up with. The winning team(s) get(s) the Crown o’ Knowledge. y x3 y2 4 x 2x 3y 12 x 7 y x x y 7 Domain and range In your same teams, sketch a graph for each of the following, and put them on the board. A function with domain 2 x 4 and range 1 y 3 A function with domain of all real numbers and range of negative numbers A relation, not a function, with domain 2 x 4 range 1 y 3 Who’s fastest? Who’s most accurate? and Double absolute value What does the graph look like? y x (Take a Chance for the person willing to put this one on the board.)