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Piecewise Functions - Math is Fun
https://www.mathsisfun.com/sets/functions-piecewise.html
Piecewise Functions. A Function Can be in Pieces. We can create functions that behave differently based on the input (x) value. A function made up of 3 pieces. Example: Imagine a function. when x is less than 2, it gives x2, when x is exactly 2 it gives 6. when x is more than 2 and less than or equal to 6 it gives the line 10−x. It looks like this:
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Introduction to piecewise functions | Algebra (video) - Khan Academy
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:absolute-value-piecewise-functions/x2f8bb11595b61c86:piecewise-functions/v/piecewise-function-example
AboutTranscript. A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f (x) where f (x) = -9 when -9 < x ≤ -5, f (x) = 6 when -5 < x ≤ -1, and f (x) = -7 when -1.
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Piecewise Functions - Definition, Graph, and Examples
https://www.storyofmathematics.com/piecewise-functions/
Piecewise function definition. A piecewise function is a function that is defined by different formulas or functions for each given interval. It’s also in the name: piece. The function is defined by pieces of functions for each part of the domain. 2x, for x > 0. 1, for x = 0. -2x, for x < 0.
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Piecewise Function - How to Graph? Examples, Evaluating
https://www.cuemath.com/calculus/piecewise-function/
A piecewise defined function (which is also known as a piecewise function) is a function that has different definitions over different intervals of inputs. An example of a piecewise function is \(f(x)=\left\{\begin{array}{ll} 2x-3 & \text { if } x<-2 \\ -|x|+5 & \text { if }-2 \leq x<3 \\ x^2-2 & \text { if } x \geq 3 \end{array}\right.\).
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Piecewise - Wikipedia
https://en.wikipedia.org/wiki/Piecewise
In mathematics, a piecewise-defined function (also called a piecewise function, a hybrid function, or definition by cases) is a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain.
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Piecewise functions - Math.net
https://www.math.net/piecewise-functions
A piecewise function is made up of two or more functions, each defined on a specific domain. Piecewise functions follow the following format: f (x) =. -x, x < 0. 0, x = 0. x, x > 0. The piecewise function above is the absolute value function. As …
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Piecewise Functions | Brilliant Math & Science Wiki
https://brilliant.org/wiki/piecewise-functions/
Piecewise functions are functions that have multiple pieces, or sections. They are defined piece by piece, with various functions defining each interval. Piecewise functions can be split into as many pieces as necessary. Each piece behaves differently based on the input function for that interval. Pieces may be single points, lines, or curves.
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Page 2.7: Piecewise Defined Functions - Mathematics LibreTexts
https://math.libretexts.org/Courses/Queens_College/Preparing_for_Calculus_Bootcamp/02%3A_Day_2/2.07%3A_Piecewise_Defined_Functions
Piecewise defined functions are used in many real-world phenomena (e.g. postal rates and income tax formulas) are modeled by such functions. It is important that we are familiar with them and know how to evaluate them. Consider the absolute value function \ (f (x)=\left|x\right|\).
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Piecewise Functions – Math Hints
https://mathhints.com/advanced-algebra/piecewise-functions/
Piecewise functions (or piece-wise functions) are just what they are named: pieces of different functions (sub-functions) all on one graph. The easiest way to think of them is if you drew more than one function on a graph, and you just erased parts of the functions where they aren’t supposed to be (along the $ x$’s).
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Define and Write Piecewise Functions | Intermediate Algebra
https://courses.lumenlearning.com/intermediatealgebra/chapter/read-define-and-write-piecewise-functions/
A piecewise function is a function where more than one formula is used to define the output over different pieces of the domain. We use piecewise functions to describe situations where a rule or relationship changes as the input value crosses certain “boundaries.”
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