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Mathematics 13 Online
OpenStudy (anonymous):

Vertical line test question for math, Help!?!?(: Use the vertical-line test to determine which graph represents a function.

OpenStudy (anonymous):

OpenStudy (anonymous):

a function can only have 1 y values for every x. so if you can draw a vertical line on the graph of you function and intersect the graph twice there are 2 y values for the x that the line is on. Therefore the graph is not a function. Go though every graph and ask yourself is there any place that you can place a vertical line and hit the graph on 2 points? If so then the graph is not a function. If not so then the graph is a function.

OpenStudy (anonymous):

@freewilly922 Is it the cirlce then?!

OpenStudy (anonymous):

circle

OpenStudy (anonymous):

can't you draw a vertical line through the circle and hit 2 points?|dw:1351474526625:dw|

OpenStudy (anonymous):

Ohhhhh So its the first one?!?!

OpenStudy (anonymous):

The first one is a vertical line. If you place another vertical line right on top of it, how many overlapping points are there?

OpenStudy (anonymous):

1 set of overlapping points?!

OpenStudy (anonymous):

Wait no its the last one

OpenStudy (anonymous):

Because theres isnt any overlapping points right?!?!

OpenStudy (anonymous):

it would be the same as asking how many points in a line= infinite. So a vertical line is not a function. Remember, a vertical line says that at that x value, every y value imaginable is an answer. Not just one. Therefore it can not be a function since there can only be 1 y value for every x value

OpenStudy (anonymous):

Yes the last one is the function, since no matter where you draw a vertical line, you will can only intersect the graph part once and only once.

OpenStudy (anonymous):

Ok sorry wow i really over looked this problem

OpenStudy (anonymous):

@freewilly922 thank you

OpenStudy (anonymous):

The definition of a function is important. So no problems. Make sure you understand what the vert. line test is. You need it later at higher levels of math.

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