96,500 views
41 votes
41 votes
Kelly used the vertical line test to determine whether or not the curve that she

had been given is a function. After conducting the vertical line test, Kelly
determined that the curve is a function. Which of the following choices
represents the result of Kelly's vertical line test?
A. All vertical lines intersected the curve at exactly 2 points.
B. One vertical line intersected the curve at exactly 2 points.
C. One vertical line intersected the curve at exactly 1 point, while
another vertical line intersected the curve at exactly 2 points.
OD. All vertical lines intersected the curve at exactly 1 point.

User Michael Rodrigues
by
3.2k points

1 Answer

6 votes
6 votes

Answer: Choice D

All vertical lines intersected the curve at exactly 1 point.

===========================================================

Step-by-step explanation:

If there is a case when a single vertical line crosses 2 or more points on the curve, then it will not be a function. In this situation, it is said that the curve fails the vertical line test.

Passing the vertical line test means that every vertical line passes through exactly one point on the curve. Each x input leads to exactly one output. If such a situation happens, then we have a function.

Since Kelly concluded that the curve is a function, this means the curve passed the vertical line test, and it points us to choice D as the answer.

User Milovan
by
2.6k points