1. Yes, it is a function. Every vertical line intersects the graph at most once (Vertical Line Test).
2. Yes, it is a function. Every vertical line intersects the graph at most once (Vertical Line Test).
3. No, it is not a function. A vertical line at x=1 intersects the graph at two points, so one input has two outputs.
4. Not a function. The input 0 maps to two different outputs (6 and -6).
5. Yes, it is a function. Each input (1, 2, 3, 4) maps to exactly one output (4). Domain: {1, 2, 3, 4}. Range: {4}.
6. Yes, it is a function. Each input (0, 2, 4) maps to exactly one output. Domain: {0, 2, 4}. Range: {6, -3}.
7. f(3) = 3, f(0) = 0, f(-2) = -2
8. h(3) = 10, h(0) = 7, h(-2) = 5
9. g(3) = 1, g(0) = -2, g(-2) = -4
10. g(3) = 9, g(0) = 0, g(-2) = -6
11. g(3) = 11, g(0) = -1, g(-2) = -9
12. h(3) = 3.6, h(0) = 0, h(-2) = -2.4
Parent Tip: Review the logic above to help your child master the concept of relations and functions worksheet algebra 2.
