DiffCalculus: August 27, 2012

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Transcript of DiffCalculus: August 27, 2012

Page 1: DiffCalculus: August 27, 2012

1. Piecewise Defined FunctionSketch the graph of the following functions:

1. y = -2,

2. f(x) = 2x, (-2, 3]

3. g(x) = -(3/2)x + 1,

Week 4

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2. Answers.

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3. Definition

Piecewise function is a function that is defined piecewise, that is, f(x) is given by different expressions on various intervals.

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4. Examples

Sketch the following function. Find domain and range.

Domain:

Range:

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4. Examples

Sketch the following function. Find domain and range.

Domain:

Range:

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4. Examples

Sketch the following function. Find domain and range.

Domain:

Range:

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4. Examples

Sketch the following function. Find domain and range.

Domain:

Range:

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4. Examples

Sketch the following function. Find domain and range.

Domain:

Range:

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4. Examples

Sketch the following function. Find domain and range.

Domain:

Range:

R

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4. Examples

Sketch the following function. Find domain and range.

Domain:

Range:

R

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6. Homework

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