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 provided

A
B
C
D

Answer 1

I think it’s D hope it helps! 1

Answer 2

Answer: Choice D

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

This is another way of saying that for any input x, there is exactly one output y. If you had a vertical line cross through a curve at multiple points, then this would mean that x input produces multiple y outputs, and we won't have a function. A function must produce one output whatever the input is (assuming the input is in the domain of course).