A function has a domain.
What is not a function in math graph.
Some types of functions have stricter rules to find out more you can read injective surjective and bijective.
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In the case of functions of two variables that is functions whose domain consists of pairs x y the graph usually refers to the set.
This can be viewed as a function.
There are functions that lead to functions that jump or even lead to be strange graphs.
The concept of the smoothness of a function is formally dealt with in calculus with the notion of continuous function.
A graph or set of points in the plane is a function if no vertical line contains more than one of its points.
1 is this graph a function.
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In mathematics the graph of a function f is the set of ordered pairs x y where f x y in the common case where x and f x are real numbers these pairs are cartesian coordinates of points in two dimensional space and thus form a subset of this plane.
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If it crosses more than once it is still a valid curve but is not a function.
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On a graph the idea of single valued means that no vertical line ever crosses more than one value.
We could write this as y is a function of x which is equal to x plus 1.
Use slider to zoom drag graph to reposition click graph to re center domain.
Try these different functions so you get the idea.
The domain is all x values or inputs of a function and the range is all y values or outputs of a function.
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Other functions have graphs that are very smooth like it happened with f x x 2.
You have seen things like y is equal to x plus 1.
The range is all the values of the graph from down to up.
So it s doing this really really really really wacky thing.
When looking at a graph the domain is all the values of the graph from left to right.
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My examples have just a few values but functions usually work on.
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In fact you have already been dealing with functions.