Asked by Britney
Does the following set of ordered pairs represent a function?
(-1, 3) (0, 3) (1, 3)
I think yes, it is a function, but I'm not sure.
(-1, 3) (0, 3) (1, 3)
I think yes, it is a function, but I'm not sure.
Answers
Answered by
John
You are correct.
If you plot these points you will have a horizontal line crossing the y-axis at 3.
If you do the vertical line test, It will only touch one part of the graph; therefore it is a function.
It is okay to have different values of x map to the same value of y.
However, if this was reversed,
(3, -1), (3,0), (3,1) It would not be a function. These would be graphed in a straight vertical line passing through the x-axis at 3. It would not pass the vertical line test.
If you plot these points you will have a horizontal line crossing the y-axis at 3.
If you do the vertical line test, It will only touch one part of the graph; therefore it is a function.
It is okay to have different values of x map to the same value of y.
However, if this was reversed,
(3, -1), (3,0), (3,1) It would not be a function. These would be graphed in a straight vertical line passing through the x-axis at 3. It would not pass the vertical line test.
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