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Khan Academy
Khan Academy: Graphs of Nonlinear Piecewise Functions
Given the graph of a nonlinear piecewise function, find its formula.
Khan Academy
Khan Academy: Domain of Advanced Piecewise Functions
Determine the domain of piecewise functions whose assignment rules have different expression types.
Khan Academy
Khan Academy: Evaluate Piecewise Functions
Given the formula of a piecewise function, evaluate it for a specific input.
Texas Instruments
Texas Instruments: Piecewise Functions
In this activity, students investigate piecewise functions for continuity and differentiability.
Paul Dawkins
Paul's Online Notes: Algebra: The Definition of a Function
Detailed math tutorial features definitions and examples that take a look at relations and functions, function notation, the domain and range of a function, and piecewise functions.
Paul Dawkins
Paul's Online Notes: Algebra: Graphing Functions
Detailed math tutorial features notes and examples that take a look at graphing functions including several examples of graphing piecewise functions.
Khan Academy
Khan Academy: Piecewise Functions Graphs
Match the formula of a piecewise function to its graph.
University of Georgia
University of Georgia: Piecewise Linear Functions
Piecewise linear functions are presented with examples and definitions. See how piecewise functions are applied to real-world situations through an example with income taxes.
Cool Math
Coolmath: Piecewise Functions Review
This CoolMath resource reviews functions and the graphing of them.
Cool Math
Coolmath: Advanced Graphing Piecewise Functions
This algebra lesson explains how to graph piecewise defined functions.
Richland Community College
Richland Community College: Functions
Richland Community College gives a definition and examples of a function. Also includes steps to evaluate piecewise functions on a calculator.
Texas Instruments
Texas Instruments: Recursive and Other Special Functions
This set of questions includes problems on recursive sequences, piecewise and step functions, and translations of functions. Questions are multiple choice, true/false, and short answer with solutions included.
Texas Instruments
Texas Instruments: Piecewise Functions: Continuous Differentiable
This activity takes a discontinuous, piecewise defined function and redefines it to make it continuous and differentiable at the point of discontinuity.
Other
Nlreg: Piecewise Function With Two Segments
Contains an example of graphing a piecewise function in a Texas Instruments calculator.
Purple Math
Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun
This resource provides an overview of graphing, giving examples of general polynomial, radical, rational, and piecewise functions. Also includes advice on common mistakes made by students.
Texas Instruments
Texas Instruments: How Americans Got So Jittery
Students develop piecewise functions to plot the growth of Starbucks and to try and predict where they are going.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Functions
The tutorial explores functions from the numerical, algebraic, and geometric viewpoints. Students learn about the concepts through class notes, examples, and practice problems. Topics include domain and piecewise functions. Quizzes are...
Purple Math
Purplemath: Function Notation & Evaluating at Numbers
Presents a lesson on function notation. Includes interactive widget for evaluating functions.
CK-12 Foundation
Ck 12: Analysis: Increasing and Decreasing Functions
[Free Registration/Login may be required to access all resource tools.] Identification of increasing and decreasing intervals of discrete and non-discrete functions. Students examine guided notes, review guided practice, watch...
Purple Math
Purplemath: General Polynomials
Confused about graphing or just need a refresher? This explanation focuses on graphing higher-power polynomials along with radical functions, rational functions, and piecewise functions. Plenty of examples are included.
Khan Academy
Khan Academy: Algebra I: Evaluate Step Functions
Given the graph of a step function, find the function's outputs for given specific inputs. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Graph Absolute Value Functions
Graph absolute value functions like f(x)=|x+3|+2. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Texas Instruments
Texas Instruments: Sack Race
The primary focus should be on slope as rate of change and piecewise functions. This activity allows exploration of multiple types of slope; i.e., positive slope, negative slope, or zero slope for students to build their understanding of...
Texas Instruments
Texas Instruments: Piecewise Defined Functions
Learn how to graph a piecewise defined function on the TI-89 graphing calculator. Precise keystroke instructions and calculator screenprints are included in this lesson plan and student activity page.
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