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Piecewise Functions | Cobb Learning, Slides of Pre-Calculus

Texas A&M University (A&M)Pre-Calculus

Interpret a piecewise function and define it according to its pieces. A piecewise function is defined according to its domain. The domain of two different ...

Typology: Slides

2022/2023

Uploaded on 03/01/2023

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Vocabulary
PiecewiseFunction afunctionmadeupof 2or
moreotherfunctions.Thedomainsofthe
functionsarerestrictedsothattheydonot
overlap.
PiecewiseFunctions
F.IF.7b Graphsquareroot,cuberoot,andpiecewisedefined
functions,includingstepfunctionsandabsolutevaluefunctions.
F.BF.1 Writeafunctionthatdescribesarelationshipbetweentwo
quantities
F.BF.1c Composefunctions.
WhatamIlearningtoday?
Howtoevaluate,graph,andwriteapiecewise
function
HowwillIshowthatIlearnedit?
Interpretapiecewisefunctionanddefineit
accordingtoitspieces
A piecewise function is defined according to
its domain.
The domain of two different "pieces" cannot
overlap.
If the transition point of two pieces is
evaluated to be the same for either piece,
the function is "continuous".
pf3
pf4

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Download Piecewise Functions | Cobb Learning and more Slides Pre-Calculus in PDF only on Docsity!

Vocabulary Piecewise Function a function made up of 2 or more other functions. The domains of the functions are restricted so that they do not overlap. Piecewise Functions F.IF.7b Graph square root, cube root, and piecewisedefined functions, including step functions and absolute value functions. F.BF.1 Write a function that describes a relationship between two quantities F.BF.1c Compose functions. What am I learning today? How to evaluate, graph, and write a piecewise function How will I show that I learned it? Interpret a piecewise function and define it according to its pieces A piecewise function is defined according to its domain. The domain of two different "pieces" cannot overlap. If the transition point of two pieces is evaluated to be the same for either piece, the function is "continuous".

Evaluating a Piece-Wise Function Step 1: Determine which part of the function includes the given value. Step 2: Plug value into this expression and solve. Ex. A

f(-3) = f(0) =

f(2) = f(5) =

Continuous? Ex. B f(-3) = f(-2) = f(0) = f(2) = Continuous? Ex. C f(-3) = f(-2) = f(0) = f(1) = Continuous?

Writing equations for piecewise graphs

  1. Identify your transition points.
  2. Write an equation for each piece.
  3. Put pieces in order from left to right. Write an equation for the following graph. Write an equation for the following graph.