Question

Relate a vertical line test to understanding functions.

a.
Each horizontal line drawn through the graph will intersect a function in only one location
c.
Each vertical line drawn through the graph will intersect a relation in only one location
b.
Each vertical line drawn through the graph will intersect a function in many locations
d.
Each vertical line drawn through the graph will intersect a function in only one location


Please select the best answer from the choices provid

Answer 1

The correct answer is option D.

d. Each vertical line drawn through the graph will intersect a function in only one location.

The vertical line test is a fundamental concept in understanding functions. It states that if every vertical line intersects the graph of a relation (set of points) at most once, then the relation is a function. In the context of the given options:

a. This statement is true for the horizontal line test, not the vertical line test.

b. This contradicts the vertical line test, as each vertical line should intersect a function at most once.

c. This describes a property of relations, not specifically functions.

d. This accurately describes the vertical line test, stating that for a graph to represent a function, every vertical line must intersect it at most once.