Two ways to determine whether the relation is a function is use a mapping diagram or use a vertical line test.
The vertical line test: Imagine a very large family of vertical lines. If any of the lines intersect with the graph of the relation under consideration at more than a single point then the relation is not a function. (Because a function assigns just one value in the range to a given point in the domain.)
You can use the vertical line test to determine if a relation is a function. It's pretty simple: if there is any part of the graph where there are more than one of the same x-values for different y-values (ex. (3,2), (3,5), and (3,9)), the relation is not a function
A function can only have one output for any given input. This means that any x value you choose cannot have multiple corresponding y values. The vertical line test involves looking at a graph and drawing vertical lines over it. If any of the vertical lines you have drawn touch the graph of the function more than once, then the graph does not represent a function.
This graph fails the vertical line test at x = 3This graph is not the graph of a function.
The horizontal line test is used to determine whether a function is one-to-one and if it had a inverse.
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Two ways to determine whether the relation is a function is use a mapping diagram or use a vertical line test.
IF 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.
suspension
suspension
Horizonatal line test is a test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one. A one-to-one function is a function where every element of the range correspons to exactly one element of the domain. Vertical line test is a test used to determine if a function is a function or relation. If you can put a vertical line through graph and it only hits the graph once, then it is a function. If it hits more than once, then it is a relation.
Kidney function tests help to determine if the kidneys are performing their tasks adequately.
automatic guilty
Test it with Benedict's solution.
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.