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What is the Horizontal Line Test? The horizontal line test is a convenient method that can determine if the inverse of a function is also a function. It is possible that the inverse of a function is not a function because it doesn’t pass the vertical line test. So here’s the deal!
The horizontal line test is a simple visual technique that shows if a function is one-to-one. Learn to use it with lots of examples and practice. Skip to content
How To: Given a graph of a function, use the horizontal line test to determine if the graph represents a one-to-one function. Inspect the graph to see if any horizontal line drawn would intersect the curve more than once.
In mathematics, the horizontal line test is a test used to determine whether a function is injective (i.e., one-to-one).
What is the Horizontal Line Test? The HLT is a test that allows you to assess whether or not a function is one-to-one. It consists of drawing horizontal lines at different heights and seeing where they cross the graph of the given function f (x), if they do at all.
May 12, 2021 · In the same way that the Vertical Line Test tells us whether or not a graph is a function, the Horizontal Line Test tells us whether or not a function is one-to-one. The graph below passes the Horizontal Line Test because a horizontal line cannot intersect it more than once.
The horizontal line test determines whether a function is one-to-one (Figure \(\PageIndex{2}\)). Horizontal Line Test A function \(f\) is one-to-one if and only if every horizontal line intersects the graph of \(f\) no more than once.
The Horizontal line test is a simple way to see if a function is one-to-one (that is, it has exactly y-value corresponding with every x-value, or dependent value for every independent value). If a function passes the Horizontal line test, it has an inverse function.
Inverse Functions: Horizontal Line Test for Invertibility. A function f is invertible if and only if no horizontal straight line intersects its graph more than once. Example #1: Use the Horizontal Line Test to determine whether or not the function y = x2 graphed below is invertible.
To determine if a function is one-to-one, we can use the horizontal line test. Note: Another way to think about a function that is one-to-one is the following: Two different input values always result in 2 different output values.
