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How To: Given a graph, use the vertical line test to determine if the graph represents a function. Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, determine that the graph does not represent a function.
27 Σεπ 2020 · The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis. Locations on the coordinate plane are described as ordered pairs.
21 Νοε 2023 · Learn about the y-axis and x-axis on a graph. Understand what the range of a graph is, how to find the range of a graph, and what a scale is.
25 Οκτ 2024 · Graphs of functions are visual representations of how one quantity depends on another. In simple terms, a graph shows the relationship between two variables: one variable is usually on the horizontal axis (called the x-axis), and the other is on the vertical axis (called the y-axis). For example, if you have a function like y = 2x + 1, the ...
To determine the domain of f, we must project all points on the graph of f onto the x-axis. This projection is indicated by the red “shadow” (or thicker line style if you are viewing this in black and white) shown on the x-axis in Figure \(\PageIndex{12}\)(b). Two important points need to be made about this “shadow” or projection.
Draw a vertical line cutting through the graph of a relation, and then observe the points of intersections. The vertical line test supports the definition of a function. That is, every [latex]x[/latex]-value of a function must be paired to a single [latex]y[/latex]-value.