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No. A function must have no more than 1 y-value for each x-value. A vertical line has an infinite number of y-values at a single x-value.

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Q: Is vertical line a function
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Continue Learning about Algebra

What do you call a function whose graph is a non-vertical line?

It is a function. If the graph contains at least two points on the same vertical line, then it is not a function. This is called the vertical line test.


A function will always be a vertical line?

A function can never be a vertical line, because it then fails the definition of a function: every x value outputs only 1 y value. The vertical line test will determine if a relation is a function. If a vertical line intersects the graph of the function at more than one place, it is not a function.


Can a one to one function not be a function?

"y = f(x) is a function if it passes the vertical line test. It is a 1-1 function if it passes both the vertical line test and the horizontal line test. " - In order to be a one-to-one function, it first has to BE a function and pass the vertical line test. For example, a relation on a graph like a circle that does not pass the vertical line test is not function nor one-to-one.


Does a sideways parabola represent a function?

No, it does not. You can tell if something is a function or not by using the vertical line test. If there is more than one point at any vertical line, it is not a function.


How do you use a vertical line test to determine if a graph represents a function?

A vertical test line is useful because, by definition, a function has one and only one result value for each input value. If you can find a vertical line that intersects the curve of the line, then it is not a function. A simple example is a circle.