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Mathematics 16 Online
OpenStudy (anonymous):

Is x=2 a function? Why or why not?

jimthompson5910 (jim_thompson5910):

Can you name me two points that lie on x = 2?

OpenStudy (anonymous):

1,2

jimthompson5910 (jim_thompson5910):

(1,2) is a point on this line?

OpenStudy (anonymous):

(1,2) (2,2)

jimthompson5910 (jim_thompson5910):

Those points lie on y = 2 since the y coordinates are both 2

OpenStudy (anonymous):

Ugh...I was thinking it's a horizontal line. y=2 When I put it in calculator it looked that way.

jimthompson5910 (jim_thompson5910):

The original equation is x = 2 correct?

OpenStudy (anonymous):

Yes

jimthompson5910 (jim_thompson5910):

So two points could be (2,3) and (2,5)

jimthompson5910 (jim_thompson5910):

Notice how x = 2 maps to y = 3 AND y = 5 at the same time

OpenStudy (anonymous):

Yes

jimthompson5910 (jim_thompson5910):

A function has each allowed x map to ONLY ONE y value So this is NOT a function

OpenStudy (anonymous):

Only on output?

jimthompson5910 (jim_thompson5910):

yes, one input ---> one output means it's a function

jimthompson5910 (jim_thompson5910):

If you have one input ---> more than one output...then it fails to be a function

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