1. What is the test used to determine if a relation is a function

To determine if a relation is a function, you can use the vertical line test. Imagine drawing vertical lines on a graph representing the relation. If any vertical line intersects the curve at more than one point, then the relation is not a function. This is because a function can only have one output (y-value) for each input (x-value)! Another important tool is the mapping diagram, where you can visualize the inputs and outputs. If any input corresponds to more than one output, then it’s not a function. It’s a straightforward check that can clarify whether each x-value has a unique y-value, reinforcing the definition of a function.