The tan [tangent] function.
When a function has two or more brakes, this is not a continuous function, but it can be a continuous function in some intervals such as the tangent does.
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A vertical line test can be used to determine whether a graph is a function or not. If a vertical line intersects the graph more than once, then the graph is not a function.
Not calculus, but correct. This is known as the vertical line test and is used to teach the basics of defining a function.
if there in 2 or more x's per 1 y
I'm not sure what exactly you're asking about, but if you're asking about the difference between relations and functions, here's the answer.In a relation, a value in the domain may have one or more values in the range. That is, for every x on graph there may be more than one value of y. In terms of word problems and such, x is the independent variable (i.e. time) and y is the dependent variable (i.e. temperature). Basically, if you graph a relation, you can draw a vertical line anywhere on the graph and that line may intersect one or more points on the graph. A circle or a horizontal parabola is a relation, not a function.In a function, for every value in the domain there is only one value in the range. That is, for every value of x there is one and only one value of y. If you draw a vertical line anywhere on the graph of the function, it will only intersect the graph once. If it intersects the graph more than once, then that graph is not a function. An example of a function would be a vertical parabola, a line, or a cubic.Hope that helps.