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Definition
Answer
A piecewise function defined by a constant value for each interval of its domain. Each piece of the graph is a horizontal segment and has one missing endpoint, shown by an open circle.
Answer
A function defined by two or more equations. Each "piece" of the function applies to a different part of its domain.
• Answer
A basic function that is used as a building block for more complicated functions.
Answer
The function f(x) = |x|. It is the most
basic function of the absolute value family of functions, and is used as a building block for more complicated functions.
Answer
The function f(x) = x. It is the most
basic function of the linear family of functions, and is used as a building block for more complicated functions.
Answer
The function f(x) = x?. It is the most
basic function of the quadratic family of functions, and is used as a building block for more complicated functions.

Keywords:
piecewise function
step function
÷: linear parent function
:: absolute value parent function
:: quadratic parent function
•: parent function

1 answer

Here are the definitions aligned with the keywords provided:

  1. Piecewise function

    • A function defined by two or more equations. Each "piece" of the function applies to a different part of its domain.

  2. Step function

    • A piecewise function defined by a constant value for each interval of its domain. Each piece of the graph is a horizontal segment and has one missing endpoint, shown by an open circle.

  3. Parent function (linear)

    • The function f(x) = x. It is the most basic function of the linear family of functions and is used as a building block for more complicated functions.

  4. Parent function (absolute value)

    • The function f(x) = |x|. It is the most basic function of the absolute value family of functions and is used as a building block for more complicated functions.

  5. Parent function (quadratic)

    • The function f(x) = x². It is the most basic function of the quadratic family of functions and is used as a building block for more complicated functions.

  6. Parent function

    • A basic function that is used as a building block for more complicated functions.

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