214k views
2 votes
Which graph represents y as a function of x?

Which graph represents y as a function of x?-example-1

1 Answer

5 votes

Answer:

Bottom left.

Explanation:

In order for any of them to be the graph of a function you would need that given a value of x, you get no more than one value of y. Zero is fine, you just picked an x out of the domain.

In layman's terms it means that if you grab a ruler, a piece of paper, a pen, and you scan the graph moving the edge parallel to the y axis (ie, vertically) you are allowed to touch the graph only once. Top right is out. Bottom left is ok, bottom right is not: you have infinite points of contact in there.

Top left would be fine, if it wasn't for x = 1. In there you have two values marked with a solid dot. That makes it not the graph of a function.

User Sydell
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories