I have a quick question. Is a horizontal line considered as a linear function?

Question

aum · Answer

Any LINE is a linear function.

yanasidlinskiy · Answer

Are you sure? So that means a vertical line is a function too?

aum · Answer

I should qualify my statement: Any LINE is a linear function except a vertical line.

yanasidlinskiy · Answer

Ok. Would this be considered as a function?|dw:1406128292415:dw|

aum · Answer

When I said "line" above I meant a "straight line."

The above graph is NOT a function because it fails the vertical line test.  If I draw a vertical line it intersects the graph at two different points which means one x-value maps into two y-values which is a no no for functions.  For functions, each x-value must map into just one y-value.

yanasidlinskiy · Answer

Alrighty!!:D Thanx soooooo much:D

aum · Answer

You are welcome.