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Name _________________ Date_________________ 4.1 Day 3 Notes Is it a function? Using the vertical line test and table to determine the answer: The vertical line test is a visual way to determine if a graph is a function or not: You draw a vertical line and if it only passes through a point once, it is a function. 1. A function? Yes or No 3. A function? Yes or No 2. A function? Yes 4. A function? Yes or or No No Now you try: 5. A function? Yes or No 6. A function? Yes or No 7. A function? Yes or No 8. A function? Yes or No You can also determine if a graph is a function by looking at the domain and range; a function can only have one output (y) for each unique input (x): 1. A function? Yes x -2 -1 0 1 2 or y -3 -1 1 3 5 No 2. A function? Yes x -2 -1 0 1 2 or y 2 1 0 -1 -2 No 3. A function? Yes x -2 -2 -3 -3 -1 or No 4. A function? Yes y 2 1 0 -1 -2 or x 5 6 7 8 9 No y 2 1 0 -1 2 Now you try: 5. A function? Yes x 4 3 2 1 0 No 6. A function? Yes y 3 2 1 0 3 7. A function? Yes x 10 9 8 7 6 or x 6 7 8 9 6 or y 20 18 16 14 12 No No y 4 5 6 7 4 8. A function? Yes x 2 3 4 5 6 or y 9 9 9 9 9 or No