Funktionsplot

A Funktionsplot, also known as a function plot or graph, is a visual representation of a mathematical function. It is created by plotting the output of a function, typically denoted as y or f(x), against its input values, denoted as x. The x-axis represents the independent variable, and the y-axis represents the dependent variable. Each point on the plot corresponds to a specific input-output pair of the function.

Function plots are essential tools in mathematics and science for understanding the behavior of functions. They allow for the identification of key features such as roots (where the function crosses the x-axis), intercepts (where the function crosses the y-axis), turning points (local maxima and minima), asymptotes (lines that the function approaches but never touches), and the overall trend or shape of the function.

By examining the slope of the plot, one can infer information about the rate of change of the function. A steep slope indicates a rapid change, while a shallow slope suggests a slower change. The concavity of the plot reveals whether the rate of change is increasing or decreasing. Various software and tools are available for generating function plots, making them accessible for analysis and visualization in fields ranging from calculus and physics to economics and engineering.