'Piecewise defined function' presentation slideshows

Graphing a Piecewise Defined Function

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College Algebra Chapter 2 Functions and Graphs

College Algebra Chapter 2 Functions and Graphs. Section 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions. 1. Test for Symmetry 2. Identify Even and Odd Functions 3. Graph Piecewise-Defined Functions 4. Investigate Increasing, Decreasing, and Constant Behavior of a Function

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Revisiting the Function at the Shopping Junction

Revisiting the Function at the Shopping Junction Yojana Sharma. Function -----------idea of dependence. A picnic or a barbecue is a function of the weather.

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Session 11

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Class Opener:

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2.2 An Introduction to Functions

2.2 An Introduction to Functions. Definitions:. 1) Any set of ordered pairs ( x , y ) is called a relation. 2) A function is a relation such that for every first coordinate x in the ordered pair there is only one 2 nd coordinate y. i.e. No repetition in the first coordinate.

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3.2 Graphs of Functions

3.2 Graphs of Functions. Objectives: Determine whether a graph represents a function. Analyze graphs to determine domain and range, local maxima and minima, inflection points, and intervals where they are increasing, decreasing, concave up, and concave down. Graph parametric equations.

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FUNCTIONS

FUNCTIONS. GRAPHS OF FUNCTIONS; PIECEWISE DEFINED FUNCTIONS; ABSOLUTE VALUE FUNCTION; GREATEST INTEGER FUNCTION. sketch the graph of a function; determine the domain and range of a function from its graph; and identify whether a relation is a function or

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Chapter 2 Functions and Graphs

Chapter 2 Functions and Graphs. Section 2 Elementary Functions: Graphs and Transformations. Learning Objectives for Section 2.2. Elementary Functions; Graphs and Transformations. The student will become familiar with a beginning library of elementary functions.

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1.6 Step and Piecewise Functions

1.6 Step and Piecewise Functions. Objective. To identify and graph step and piecewise-defined functions. Step Functions. Functions whose graphs resemble set of stairsteps are known as step functions. The most famous of the step functions is the greatest integer function.

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Chapter 3 Section 4: Library of Functions

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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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Ch 6.1: Definition of Laplace Transform

Ch 6.1: Definition of Laplace Transform. Many practical engineering problems involve mechanical or electrical systems acted upon by discontinuous or impulsive forcing terms. Given a known function K ( s , t ), an integral transform of a function f is a relation of the form.

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

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6 8 1 7

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Section 3.4

Section 3.4. Library of Functions; Piecewise-Defined Functions. THE SQUARE ROOT FUNCTION. The x -intercept is 0. The y -intercept is also 0. The function is neither even nor odd. It is increasing on the interval (0, ?). It has a local minimum of 0 at x = 0. Properties of.

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