A vertical line. Remember that one test to see if a relation is a function is the vertical line test. A vertical line would fail that of course.
Not quite. You can use a vertical line test on the graph of the inverse mapping, OR you can use a horizontal line test on the original graph. The horizontal line test is used in the same way.
A sliding test. The vertical line can meet the graph at at most one point.
Draw a graph of a given curve in the xoy plane. Now draw a vertical line so that it cuts the graph. If the vertical line cuts the graph in more than one ordinate then given graph is not a function. If it cuts the graph at a single ordinate such a graph is a function.(is called vertical line test)
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"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.
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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.
Of the three functions, all three pass the vertical line test. That is, if you draw a vertical line anywhere on the graph that the function is, that line will only pass through the function once. All three are also invertible functions, which means that there is a function that is capable of "undoing" the original function. And because the functions all pass the vertical line test, they are all able to be differentiated.
No, the graph of an oval/ellipse is not a function because it does not pass the vertical line test.
A vertical line. Remember that one test to see if a relation is a function is the vertical line test. A vertical line would fail that of course.
They are all one-to-one as they all pass the vertical line test.
A vertical line can be used to test whether or not a graph is a function.
Y = 5X + 1 Is a line and should pass the vertical line test for functions, so this is a function.
Use the vertical line test...pass a vertical line from left to right across the graph. If you hit the graph more than once at a time, there is x-sharing, and it is not a function.
Not quite. You can use a vertical line test on the graph of the inverse mapping, OR you can use a horizontal line test on the original graph. The horizontal line test is used in the same way.