Asked by Scott
How do you know if a relation is a function?
Answers
Answered by
MathMate
The most important property is that it should satisfy the vertical line test.
This means that if it is possible to draw a vertical line through some point on the graph of the relation such that it intersects the graph at more than one point, it is NOT a function.
Mathematically, it means that every element in the domain is mapped by the relation to one single value in the range.
Example of relations that are <i>not</i> functions:
y=&sqrt(x)
y=arcsin(x)
Examples of functions:
y=x
y=x²
all polynomials
y=sin(x)
y=e<sup>x</sup>
This means that if it is possible to draw a vertical line through some point on the graph of the relation such that it intersects the graph at more than one point, it is NOT a function.
Mathematically, it means that every element in the domain is mapped by the relation to one single value in the range.
Example of relations that are <i>not</i> functions:
y=&sqrt(x)
y=arcsin(x)
Examples of functions:
y=x
y=x²
all polynomials
y=sin(x)
y=e<sup>x</sup>
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.