## Write A Piecewise Defined Function

Sometimes, we come across a function that requires more than one formula in order to obtain the given output.And this is how we write write a piecewise defined function it: The Domain (all the values that can go into the function) is all Real Numbers up to and including 6,." However, there can be other rules that are more elaborate.Some functions have simple rules, like "for every x, return x².For example, in the toolkit functions, we introduced the absolute value function [latex]f\left(x\right)=|x|[/latex] Write a piecewise function given an application.Write piecewise defined functions.A function made up of 3 pieces.” Piecewise Functions A Function Can be in Pieces.Functions assign outputs to inputs.We use piecewise functions to describe situations where a rule or relationship changes as the input value crosses certain “boundaries.Graph piecewise-defined functions.A piecewise function is a function where more than one formula is used to define the output over different pieces of the domain.

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