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Learn what the horizontal line test is and how it can help you check if the inverse of a function is a function. See examples of functions that pass the test!
- Vertical Line Test
The vertical line test supports the definition of a...
- Vertical Line Test
A horizontal line is a straight, flat line that goes from left to right. Given a function (i.e. from the real numbers to the real numbers), we can decide if it is injective by looking at horizontal lines that intersect the function's graph.
A graph passes the horizontal test if every horizontal line crosses, or intersects it, at one or fewer points. If the graph passes the test, it is a one-to-one function – every specific input corresponds to exactly one output.
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.
12 Μαΐ 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 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.
This precalculus video tutorial explains how to determine if a graph has an inverse function using the horizontal line test. If it passes the test, the func...
