what is a function on a graph

As we have seen in examples above, we can represent a function using a graph. We use cookies to make wikiHow great. For these definitions we will use [latex]x[/latex] as the input variable and [latex]y=f\left(x\right)[/latex] as the output variable. The graph of the cubic polynomial on the real line. Unless you're working with imaginary numbers, you cannot have. This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness. In the case of functions of two variables, that is functions whose domain consists of pairs (x, y), the graph usually refers to the set of ordered triples (x, y, z) where f(x, y) = z, instead of the pairs ((x, y), z) as in the definition above. In mathematics, the graph of a function f is the set of ordered pairs (x, y), where f(x) = y. ( A graph represents a function only if every vertical line intersects the graph in at most one point. : R {\displaystyle f} x f Learn more... A graph of a function is a visual representation of a function's behavior on an x-y plane. There is a corresponding notion of a graph on a fibre bundle called a section. n G Find 2/3 of that value. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/2\/21\/Graph-a-Function-Step-1-Version-2.jpg\/v4-460px-Graph-a-Function-Step-1-Version-2.jpg","bigUrl":"\/images\/thumb\/2\/21\/Graph-a-Function-Step-1-Version-2.jpg\/aid4064428-v4-728px-Graph-a-Function-Step-1-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"