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  1. 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!

  2. 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

  3. In mathematics, the horizontal line test is a test used to determine whether a function is injective (i.e., one-to-one).

  4. 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.

  5. 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.

  6. 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.

  7. Feb 11, 2018 · 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 function is a one to one function....

  8. 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.

  9. 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.

  10. Use the Horizontal Line Test to determine whether or not the function y = x2 graphed below is invertible. Solution #1: For the first graph of y = x2, any line drawn above the origin will intersect the graph of f twice. Therefore, f is not invertible. Example #2:

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