Quick Homework Help

# Is it possible for a vertical line to intersect the graph of a function at two different points? Why or why not? ⚑ Flag

by Supernova at June 26, 2010

I am having much difficulty on understanding what this question is asking. Right now, I am on graphing functions in Algebra 2. I am really thankful if you did take the time to respond and explain my question.

Well I'm not positive cause I haven't gotten to graphing functions yet but I think it can cause if it went through the base of the graph then it would go through nearly all of the graph beginning points. I really hope I'm not leading you astray or confusing you. If I'm wrong please forgive me.

Reasonz June 26, 2010

No to be a function a the graph has to pass the vertical line test. A vertical line can only cross a function at one point.This is because a function is a special machine that spits out a unique value of y for every x. Each input can have only one output.Imagine your are a bug crawling along the x axis of a grid. On that grid is a graph. At any point on your gug journey, look left . You see a point on the graph. It might be a function, but how do you tell? Look right. If you can't see any other point on the graph, it's a function. That means the x you stopped on has only one y.If there had been another point on the graph to see, then that x you stopped on would have had two y's that went with it, and that's possible, but we just don't call that graph a functionn.

suehellman June 27, 2010

its not possible with a function because for a function to be a function, there can only be one output for each x value. if theres more than one, then it cant be called a function.

Car...los... July 02, 2010