'Piecewise defined functions' diaporamas de présentation

MATH 141

MATH 141. Chapter 1: Graphs and Functions (Review). Distance Formula. 1.1. Example: Find distance between (-1,4) and (-4,-2). Answer: 6.71. Midpoint Formula. Example: Find the midpoint from P 1(-5,5) to P 2(-3,1). Answer: (-4,3). y. ( x , y ). r. ( h , k ). x. 1.2.

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Graphs of Functions

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Splash Screen

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AP Calculus Notes

AP Calculus Notes. Section 1.2 9/5/07. Objectives. Students will be able to identify the domain and range of a function using its graph or equation. Students will be able to recognize even functions and odd functions using equations and graphs.

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Section 2.3 Piecewise Defined Functions

Section 2.3 Piecewise Defined Functions. Piecewise Defined Functions- when a function uses different formulas on different parts of its domain. Piecewise Defined Functions- when a function uses different formulas on different parts of its domain. An example:.

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Ma123: Spring 2003 Sections 001-003

Ma123: Spring 2003 Sections 001-003. Dr. Paul Eakin: Instructor www.msc.uky.edu/paul Jessica Virgin: Recitation Leader . Principal Course Features. 4 tests: 3 midterm and final Each test 100 points 90 from uniform exam (curved) 10 from homework (not curved) 50 points instructor grade

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Chapter 2 Linear Functions and Equations

Chapter 2 Linear Functions and Equations. More Modeling with Functions. 2.4. Model data with a linear function Evaluate and graph piecewise-defined functions Evaluate and graph the greatest integer function Use direct variation to solve problems. Modeling with Linear Functions.

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MATH 1314

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4 th EDITION

College Algebra & Trigonometry and Precalculus. 4 th EDITION. 2.6. Graphs of Basic functions. Continuity The Identity, Squaring, and Cubing Functions The Square Root and Cube Root Functions The Absolute Function Piecewise-Defined Functions The Relation x = y 2.

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CCSS

Content Standards F.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.

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Lecture 4

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Lecture 4

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Piecewise-Defined Functions

Piecewise-Defined Functions. Lesson 2.5. Piecewise Defined Functions. Consider a function defined differently for different parts of the domain (the x values) Consider what the table of values looks like. Piecewise Defined Functions. Use Diamond 0 for the ? sign.

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Welcome to another new day of:

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EX) Sketch the Piecewise-Defined Function BY HAND

A Piecewise-Defined Function is:. A function defined in pieces for certain x-values. EX) Sketch the Piecewise-Defined Function BY HAND. For each function, start at the domain and work your way up/down. Note: f(x) is not connected at x = 1.

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2.3 Analyzing Graphs of Functions

2.3 Analyzing Graphs of Functions. Graph of a Function set of ordered pairs. Look at the graph of p. 201. Find domain range f(-1) f(2). Vertical Line Test. If a vertical line intersects the graph more than once, the graph is not a function. Zeros of a Function: x values when .

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What do you know about writing absolute value functions as piecewise-defined functions?

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Functions and Their Properties

Functions and Their Properties. Def: Function, Domain and Range

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Functions and Their Properties

Functions and Their Properties. Def: Function, Domain and Range

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Piecewise-defined Functions

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