All details stated in the question, but to clear up, I want to know specifically, if a set of points has a point that is included twice is considered a function.
Is a function still a function if the values are the same? {(1, 1) (8, 8) (1, 1)} (Is that a func.)?
- Posted:
- 3+ months ago by Fatetraitor
- Topics:
- clear, detail, point, question
Details:
Added 3+ months ago:
It seems my first question details were still unclear, so I'll ask this.
F(x)= 2x if x > or = to 0
x if x < or = to 0
Now in an exam, I said this was a function, while the answer said it wasn't. This is because there are two "or equal to signs." What I am looking for is someone who can explain why it is not a function, even though the only over lapping point is (0, 0) and the y values are the same.
Answers (1)
A function is defined as a process that gives one output value for each input value. Two inputs can give the same output, but each input has only one output. Square root is not a function because each input has two output values.
The only way you can return to a point is if the graph makes a loop, which means some inputs have two output values. But the definition requires a process, not just a list of numbers.