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Exam Review Solutions Chapter 3: Chapter 4: Chapter 5: 1. B 2. C 3. a) i) Function; the elements in the first column are all different. ii) Domain: {1, 3, 5, 7, …}; that is, all positive odd numbers; range: {3, 6, 9, 12, …};that is, all positive multiples of 3 Representations may vary. For example, as a set of ordered pairs: {(1, 3), (3, 6), (5, 9), (7, 12)} Linear function; a constant change of 2 in a results in a constant change of 3 in b. iii) Dependent variable: b; independent variable: a; rate of change: 3 2 b) i) Function; the graph passes the vertical line test. ii) Domain: –3 ≤ x ≤ 9, Range: 1 ≤ y ≤ 5 Representations may vary. For example, A straight line through the points in this table of values: Linear function; the points lie on a straight line iii) Dependent variable: y; independent variable: x; rate of change- 1 3 c) i) Not a function; some ordered pairs have the same first element. 4. a) A negative profit indicates a loss. When 5 T-shirts have been sold, a profit is made. b) I did not connect the points because it makes no sense to sell a fraction of a T-shirt. c) Domain: {0, 1, 2, 3, 4, 5, 6, …}, all whole numbers; Range: {–20, –15, –10, –5, 0, 5, 10, …}, all multiples of 5 greater than or equal to –20 The graph could be extended to the right as more T-shirts are sold. The graph cannot be extended to the left because the number of T-shirts sold cannot be negative. The domain is restricted to whole numbers. The range is restricted to multiples of 5, greater than or equal to –20. d) $5/shirt; the profit made on the sale of each T-shirt e) i) $300 ii) 69 Chapter 6: Chapter 7: