1. Yes, it is a function.
Explanation: Each input (x-value) in the set {10, 7, 0, 11, 14, 8} maps to exactly one output (y-value) in the set {5, 2}. No x-value is repeated with a different y-value.
2. No, it is not a function.
Explanation: The input value 5 maps to two different output values, 6 and 4. A function requires each input to map to exactly one output.
3. [B] and [D]
Explanation: Graph [B] fails the vertical line test because a vertical line can intersect the graph at more than one point (e.g., at x=0, it intersects at two points). Graph [D] also fails the vertical line test because any vertical line within the circle's diameter will intersect the graph at two points. Graphs [A] and [C] pass the vertical line test, so they are functions.
Parent Tip: Review the logic above to help your child master the concept of relations and functions worksheet.
