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. S Butler (Michigan Tech) Chapter 2 Section 3 September 25, 2006 2 / 8
Piecewise Functions Function Machine Domain Notation S Butler (Michigan Tech) Chapter 2 Section 3 September 25, 2006 3 / 8
Step Functions � 3 if x > 2, f ( x ) = 5 if x ≤ 2. S Butler (Michigan Tech) Chapter 2 Section 3 September 25, 2006 4 / 8
Example � 2 if x < 1, g ( x ) = 4 if x > 0. S Butler (Michigan Tech) Chapter 2 Section 3 September 25, 2006 5 / 8
Absolute Value f ( x ) = | x | 6 y 5 4 3 2 1 x -4 -3 -2 -1 0 1 2 3 4 -1 S Butler (Michigan Tech) Chapter 2 Section 3 September 25, 2006 6 / 8 -2
Example f ( x ) = | x 2 − 9 | 10 y 9 8 7 6 5 4 3 2 1 x -4 -3 -2 -1 0 1 2 3 4 -1 S Butler (Michigan Tech) Chapter 2 Section 3 September 25, 2006 7 / 8
Summary Piecewise functions Absolute value functions S Butler (Michigan Tech) Chapter 2 Section 3 September 25, 2006 8 / 8
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