1. **State the problem:** Determine if each set of ordered pairs, graph points, tables, and mapping diagrams represent functions. --- ### Part A: Ordered pairs A function assigns exactly one output (y) for each input (x). 1) {(10, 9), (-2, -16), (-6, 7), (5, 8), (8, -16), (-11, 9)} - All x-values are unique. - **Function** 2) {(-7, 4), (-8, 3), (-7, 7), (-20, 8), (5, 9), (3, 1), (2, 6)} - x = -7 repeats with different y (4 and 7). - **Not a function** 3) {(-13, 4), (7, -15), (-13, 9), (6, -12), (-18, 0)} - x = -13 repeats with different y (4 and 9). - **Not a function** 4) {(15, -3), (-6, 9), (-3, 0), (-1, 16)} - All x-values unique. - **Function** 5) {(-4, 3), (5, -9), (11, 4), (9, 6), (5, -3), (8, -9), (1, 4)} - x = 5 repeats with different y (-9 and -3). - **Not a function** 6) {(12, -18), (15, 1), (12, 5), (0, 9), (-5, -17)} - x = 12 repeats with different y (-18 and 5). - **Not a function** 7) {(6, 0), (-12, -16), (-6, 10), (20, -7)} - All x-values unique. - **Function** 8) {(-2, -4), (-8, 3), (-7, -4), (-2, -8), (11, 8), (9, -4)} - x = -2 repeats with different y (-4 and -8). - **Not a function** --- ### Part B: Graph points Check if each x-value appears once. Graph 1: Points at (-6,9), (-4,5), (-2,3), (2,9), (4,5), (6,1), (8,9) - All x unique. - **Function** Graph 2: Points at (-12,14), (-8,12), (-4,4), (0,6), (4,2), (8,6), (12,8), (16,1) - All x unique. - **Function** Graph 3: Points at (-10,4), (-8,8), (-4,0), (0,9), (4,1), (8,4), (12,2) - All x unique. - **Function** --- ### Part C: Tables Check if x-values repeat with different y. 1) x: -12, -10, 0, 5, 8, 15 all unique - **Function** 2) x: 9, -20, -6, -17, 9, 11 - x=9 repeats with y=-18 and y=17 - **Not a function** 3) x: 4, 1, 4, 16, 10, -19 - x=4 repeats with y=-20 and y=-14 - **Not a function** 4) x: -15, -11, -14, -9, -1, -5 all unique - **Function** 5) x: 2, 3, 6, 7, 18, 20 all unique - **Function** 6) x: -13, -3, 12, 17, -3, 0 - x=-3 repeats with y=7 and y=14 - **Not a function** --- ### Part D: Domain and Range Mapping Diagrams A function maps each domain element to exactly one range element. 1) Each domain value maps to one range value. - **Function** 2) Each domain value maps to one range value. - **Function** 3) Each domain value maps to one range value. - **Function** 4) Domain value 9 maps to two range values (8 and 9). - **Not Function** 5) Each domain value maps to one range value. - **Function** 6) Each domain value maps to one range value. - **Function** 7) Each domain value maps to one range value. - **Function** 8) Domain value 0 maps to one range value. - **Function** --- **Summary:** - Part A: Functions: 1,4,7; Not functions: 2,3,5,6,8 - Part B: All functions - Part C: Functions: 1,4,5; Not functions: 2,3,6 - Part D: Functions: 1,2,3,5,6,7,8; Not function: 4 Final answers are clearly stated for each item.