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Section 2.1.1 Piecewise Functions & Continuity. A piecewise function is a function that uses different rules for different parts of its domain.

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Presentation on theme: "Section 2.1.1 Piecewise Functions & Continuity. A piecewise function is a function that uses different rules for different parts of its domain."— Presentation transcript:

1 Section 2.1.1 Piecewise Functions & Continuity

2 A piecewise function is a function that uses different rules for different parts of its domain.

3 A transition point (or joint point) is the x-value where the function rule changes. Open Circle ? or Closed Circle ?

4

5 a) Find f(2) b) Evaluate the function for x = 5 c) Find f(3). Evaluate the function for x = 3

6 Calculator method: Separate each expression and use division to represent the domain.

7 Calculator method: Separate each expression and use division to represent the domain.

8 Layman’s Description: A function is continuous if the graph can be drawn without lifting the pencil from the paper. Continuity

9 Assignment Pg 63 #2-7 TO 2-14


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