How To Graph A Piecewise-Defined Function Precalculus Study.Com

About Piecewise Defined

A piecewise function is a function whose domain is partitioned into several intervals on which the function may be defined differently. Learn about the notation, examples, continuity, differentiability and applications of piecewise functions in mathematics.

Learn what piecewise functions are and how to evaluate, graph, and interpret them. See examples of piecewise functions in real-life situations and practice problems.

Learn how to write and graph piecewise functions, which are functions with more than one formula for different domains. See examples of absolute value, museum cost, and polynomial functions.

Learn how to create and graph functions that behave differently based on the input value. See examples of piecewise functions, such as the absolute value function and the floor function, and how to find their values.

Note that piecewise defined functions are not rescricted to 3 formulas, they may contain 2 or more. Example 9292PageIndex1092 A museum charges 5 per person for a guided tour with a group of 1 to 9 people, or a fixed 50 fee for 10 or more people in the group. Set up a function relating the number of people, 92n92, to the cost, 92C92.

A piecewise function is defined differently for different inputs and hence it has multiple piecesshapes in its graph. Learn more about piecewise function along with its graph and how to evaluate them. Grade. KG. 1st. 2nd. 3rd. 4th. 5th. 6th. 7th. 8th. Algebra 1. Algebra 2. Geometry. Pre-Calculus. Calculus. Pricing. Events.

A piecewise function is a function that is defined differently over different intervals of its domain. Instead of using a single equation for all inputs, it assigns distinct expressions to specific intervals. Piecewise Function. The general piecewise function can be written mathematically as

Learn what piecewise functions are, how to evaluate and graph them, and see examples of common piecewise functions such as absolute value and sign functions. Explore the definition, properties, and applications of piecewise functions with Brilliant.

Graph a piecewise-defined function. Interpret the graph of a piecewise-defined function. Let's Get Started Graphing Piecewise-Defined Functions. Sometimes, we come across a function that requires more than one formula in order to obtain the given output. For example, consider the absolute value function latexf92leftx92rightxlatex.

A piecewise-defined function is a function which uses a combination of equations over the intervals of its domain. Also called a piecewise function, or a split-definition function. Remember, the domain is the set of all possible x-coordinates used to create a graph.