Are Plotted Points a Function?

Sophia Al-Mansoor
Sophia Al-Mansoor
• • 7 min read

A Set of Points in the Plane Is the Graph of a Function Graph of a Function an Algebraic Curve in the Euclidean Plane Is the Set of the Points Whose...

Are Plotted Points a Function?

A set of points in the plane is the graph of a function

graph of a function
An algebraic curve in the Euclidean plane is the set of the points whose coordinates are the solutions of a bivariate polynomial equation p(x, y) = 0. This equation is often called the implicit equation of the curve, in contrast to the curves that are the graph of a function defining explicitly y as a function of x.
› wiki › Algebraic_curve
if and only if no vertical line intersects the graph in more than one point. ... The graph of the equation y2 = x + 5 is shown below.

How do you know if a data point is a function?

Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function.

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How do you know if the graph is 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, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

Sophia Al-Mansoor

Sophia Al-Mansoor

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Sophia analyzes international trade, startup ecosystems, retail transformation, and supply chain logistics for modern digital publications.