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Khan Academy

Khan Academy: Graphs of Nonlinear Piecewise Functions

For Students 9th - 10th Standards
Given the graph of a nonlinear piecewise function, find its formula.
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Khan Academy

Khan Academy: Domain of Advanced Piecewise Functions

For Students 9th - 10th Standards
Determine the domain of piecewise functions whose assignment rules have different expression types.
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Khan Academy

Khan Academy: Evaluate Piecewise Functions

For Students 9th - 10th
Given the formula of a piecewise function, evaluate it for a specific input.
Activity
Texas Instruments

Texas Instruments: Piecewise Functions

For Teachers 9th - 10th Standards
In this activity, students investigate piecewise functions for continuity and differentiability.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: The Definition of a Function

For Students 9th - 10th Standards
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.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Graphing Functions

For Students 9th - 10th Standards
Detailed math tutorial features notes and examples that take a look at graphing functions including several examples of graphing piecewise functions.
Unknown Type
Khan Academy

Khan Academy: Piecewise Functions Graphs

For Students 9th - 10th
Match the formula of a piecewise function to its graph.
Handout
University of Georgia

University of Georgia: Piecewise Linear Functions

For Students 9th - 10th
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.
Website
Cool Math

Coolmath: Piecewise Functions Review

For Students 9th - 10th Standards
This CoolMath resource reviews functions and the graphing of them.
Activity
Cool Math

Coolmath: Advanced Graphing Piecewise Functions

For Students 9th - 10th Standards
This algebra lesson explains how to graph piecewise defined functions.
Handout
Richland Community College

Richland Community College: Functions

For Students 9th - 10th Standards
Richland Community College gives a definition and examples of a function. Also includes steps to evaluate piecewise functions on a calculator.
Activity
Texas Instruments

Texas Instruments: Recursive and Other Special Functions

For Teachers 9th - 10th Standards
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.
Activity
Texas Instruments

Texas Instruments: Piecewise Functions: Continuous Differentiable

For Teachers 9th - 10th
This activity takes a discontinuous, piecewise defined function and redefines it to make it continuous and differentiable at the point of discontinuity.
Activity
Other

Nlreg: Piecewise Function With Two Segments

For Students 9th - 10th Standards
Contains an example of graphing a piecewise function in a Texas Instruments calculator.
Handout
Purple Math

Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun

For Students 9th - 10th Standards
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.
Activity
Texas Instruments

Texas Instruments: How Americans Got So Jittery

For Teachers 9th - 10th
Students develop piecewise functions to plot the growth of Starbucks and to try and predict where they are going.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Functions

For Students 9th - 10th Standards
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...
Handout
Purple Math

Purplemath: Function Notation & Evaluating at Numbers

For Students 9th - 10th Standards
Presents a lesson on function notation. Includes interactive widget for evaluating functions.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Increasing and Decreasing Functions

For Students 9th - 10th
[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...
Website
Purple Math

Purplemath: General Polynomials

For Students 9th - 10th Standards
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.
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Khan Academy

Khan Academy: Algebra I: Evaluate Step Functions

For Students 9th - 10th
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.
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Khan Academy

Khan Academy: Graph Absolute Value Functions

For Students 9th - 10th Standards
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.
Activity
Texas Instruments

Texas Instruments: Sack Race

For Teachers 9th - 10th
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...
Activity
Texas Instruments

Texas Instruments: Piecewise Defined Functions

For Teachers 9th - 10th
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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