piecewise defined function | Introduction to piecewise functions

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piecewise defined function	0.86	0.9	7082	70	26
piecewise	0.57	0.5	1114	27	9
defined	0.77	1	2236	2	7
function	1.37	0.2	3693	11	8

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Introduction to piecewise functions | Algebra (video) - Khan Academy
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https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:absolute-value-piecewise-functions/x2f8bb11595b61c86:piecewise-functions/v/piecewise-function-example

WEBA 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-Defined Functions | College Algebra - Lumen Learning
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https://courses.lumenlearning.com/waymakercollegealgebra/chapter/piecewise-defined-functions/

WEBA piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain. We use piecewise functions to describe situations in which a rule or relationship changes as …

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Page 2.7: Piecewise Defined Functions - Mathematics LibreTexts
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https://math.libretexts.org/Courses/Queens_College/Preparing_for_Calculus_Bootcamp/02%3A_Day_2/2.07%3A_Piecewise_Defined_Functions

WEBPiecewise 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 is Fun
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https://www.mathsisfun.com/sets/functions-piecewise.html

WEBA 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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4.1: Piecewise-Defined Functions - Mathematics LibreTexts
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https://math.libretexts.org/Bookshelves/Algebra/Intermediate_Algebra_(Arnold)/04%3A_Absolute_Value_Functions/4.01%3A_Piecewise-Defined_Functions

WEBPiecewise functions are a favorite of engineers. Let’s look at an example. Example \ (\PageIndex {2}\) Suppose that a battery provides no voltage to a circuit when a switch is open. Then, starting at time \ (t = 0\), the switch is closed and the battery provides a constant 5 volts from that time forward.

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Piecewise Functions | Brilliant Math & Science Wiki
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https://brilliant.org/wiki/piecewise-functions/

WEBPiecewise functions are functions that have multiple pieces, or sections. They are defined piece by piece, with various functions defining each interval. Contents. Introduction. Evaluating Piecewise Functions. Graphing Piecewise Functions. Introduction. Piecewise functions can be split into as many pieces as necessary.

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4.6: Piecewise-defined Functions - Mathematics LibreTexts
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https://math.libretexts.org/Bookshelves/Algebra/College_Algebra_and_Trigonometry_(Beveridge)/04%3A_Functions/406%3A_Piecewisedefined_Functions

WEBIn a situation such as this, it is helpful to use what is known as a piecewise defined function - a function that is defined in pieces. In the above example of a piecewise defined function, we see that the y y values for the negative values of x x are defined differently than the y y values for the positive values of x x.

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Piecewise - Wikipedia
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https://en.wikipedia.org/wiki/Piecewise-defined_function

WEBIn mathematics, a piecewise-defined function (also called a piecewise function, a hybrid function, or definition by cases) is a function whose domain is partitioned into several intervals ("subdomains") on which the function may be defined differently.

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Worked example: graphing piecewise functions - Khan Academy
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https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:absolute-value-piecewise-functions/x2f8bb11595b61c86:piecewise-functions/v/graphing-piecewise-function

WEBA piecewise function is a function that is defined in separate "pieces" or intervals. For each region or interval, the function may have a different equation or rule that describes it. We can graph a piecewise function by graphing each individual piece.

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Worked example: evaluating piecewise functions - Khan Academy
khanacademy.org

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:absolute-value-piecewise-functions/x2f8bb11595b61c86:piecewise-functions/v/evaluating-piecewise-functions-example

WEBA piecewise function is a function that is defined in separate "pieces" or intervals. For each region or interval, the function may have a different equation or rule that describes it. We can evaluate piecewise functions (find the value of the function) by using their formulas or their graphs. Questions. Tips & Thanks.

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