Functions and Relations Worksheet featuring graphs and problems to determine if relations are functions and evaluate functions.

A worksheet titled "Functions and Relations Worksheet" with three graphs and six problems involving functions, relations, and evaluations.

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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 (e.g., y=1 and y=-1), failing the Vertical Line Test.
4. Not a function. The input 0 has two different outputs (6 and -6).
5. Yes, it is a function. Each input (1, 2, 3, 4) has exactly one output (all are 4). Domain: {1, 2, 3, 4}. Range: {4}.
6. Yes, it is a function. Each input (0, 2, 4) has exactly one output. Domain: {0, 2, 4}. Range: {-3, 6}.
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

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