vertical line test
[vertical line test|vertical line test] The vertical line test is used to determine which graphs represent functions by checking if any vertical line intersects the graph more than once.
Definition
vertical line test The vertical line test is used to determine which graphs represent functions by checking if any vertical line intersects the graph more than once. It ensures that each input corresponds to exactly one output, as demonstrated in the exercises where graphs pass the test at x = 1 and x = 2.
Mechanism
vertical line test is a method to determine if a relation is a function. A vertical line is drawn across the graph; if it intersects the graph at only one point for every x-value, the relation is a function. The test confirms that each input (x-value) has exactly one output (y-value).
Effects
vertical line test The vertical line test determines if a graph represents a function by checking for relations that are functions. It is used in exercises to identify which graphs show such relations.