Chapter 2 Section 3 MA1032 Data, Functions & Graphs Sidney - - PowerPoint PPT Presentation

Chapter 2 Section 3

MA1032 Data, Functions & Graphs Sidney Butler

Michigan Technological University

September 25, 2006

S Butler (Michigan Tech) Chapter 2 Section 3 September 25, 2006 1 / 8

Example

A wholesale carpet company sells a certain brand of carpet for $9 per square yard for the first 100 square yards purchased. The price drops to $7 per square yard after the first 100 square yards have been purchased. Let x be the number of square yards of carpet to be purchased. Find a formula in terms of x for the function that gives the cost of purchasing up to 200 square yards of carpet.

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Piecewise Functions

Function Machine Domain Notation

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Step Functions

f (x) =

• 3

if x > 2, 5 if x ≤ 2.

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Example

g(x) =

• 2

if x < 1, 4 if x > 0.

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Absolute Value

f (x) = |x|

• 4
• 3
• 2
• 1

1 2 3 4

• 2
• 1

1 2 3 4 5 6

x y

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Example

f (x) = |x2 − 9|

• 4
• 3
• 2
• 1

1 2 3 4

• 1

1 2 3 4 5 6 7 8 9 10

x y

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Summary

Piecewise functions Absolute value functions

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