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Every unput (x value) must have a unique output (y value) for a relation to be considered a function. The vertical line test can be used to determine if a relation is a function. If you can draw a vertical line that goes through a relation more than once it is a function This is a function by the vertical line test: |dw:1435352050788:dw| This is NOT a function by the vertical line test: |dw:1435352079662:dw| It fails the vertical line test, a line can pass through it more than once
Let me know if you follow
correction: If you can draw a vertical line that goes through a relation more than once it is NOT a function
sorry about that
you could graph the points and do this test
graphing would be the safest bet, but you could also consider think about what I wrote: Every input (x value) must have a unique output (y value) for a relation to be considered a function. Ask yourself: -Are there two points with the same x coordinate with a different y coordinate in your relation. -Which point would cause the function to fail the vertical line test?
just to be clear: The graphs I did the vertical test on were as follows, the line I drew on top of them was the test itself: |dw:1435352616053:dw| |dw:1435352637672:dw|
(-4,3) and (-4,5) have the same x value
The pair that is messing up the vertical line is the answer?
Yes. You have to remove one of those.
Not that I know of.