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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
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. If there is any such line, the function is not one-to-one.
16 Ιουλ 2024 · To determine if a function is one-to-one, we can use the horizontal line test. The horizontal line test – plain and simple – tells us whether or not the inverse is a function. And for us to determine if the function is one-to-one, then the graph must pass both vertical and horizontal line tests.
Use the Horizontal Line Test to determine whether or not the function y = x 2 graphed below is invertible.
Howto: 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. If there is any such line, determine that the function is not one-to-one.
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.
