The horizontal line test is a simple, visual way to tell if your function has an inverse function. It’s useful because it tells us whether a function is one-to-one or not.

If the horizontal line intersects the graph of a function in all places at exactly one point, then the given function has an inverse that is also a function. We say this function passes the horizontal …

In mathematics, the horizontal line test is a test used to determine whether a function is injective (i.e., one-to-one). [1] A horizontal line is a straight, flat line that goes from left to right.

What Is the Horizontal Line Test? The horizontal line test checks if a function is one-to-one. A one-to-one function has only one x-value for each y-value. If a horizontal line passes through a …

The horizontal line test tells you if a function is one-to-one. It’s also a way to tell you if a function has an inverse. Graph A on the left is one to one (injective), because it passes a horizontal line …

We typically construct graphs with the domain values along the horizontal axis and the range values along the vertical axis. This is because the domain values (e.g. x) are independent and …

Jul 3, 2025 · The Horizontal Line Test is a method used in mathematics to determine whether a function is one-to-one (injective). A function is considered one-to-one if it never assigns the …

The horizontal line test is a useful tool in determining if a function is one-to-one without having to explicitly solve for the function’s inverse. It provides a visual representation of the function’s …

Aug 12, 2025 · Understanding a mathematical function is a foundational skill in algebra, often visualized on the familiar Cartesian coordinate system. A crucial question often arises when …

To determine if a function is one-to-one, we can use the horizontal line test. Another way to think about a function that is one-to-one is the following: Two different input values always result in …