This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Lecture 10, part I: Section 1.6 A Library of Functions 1. Linear Function u1D453 ( u1D465 ) = u1D45Au1D465 + u1D44F NOTE: There are two special types of linear functions: Constant Function ( u1D453 ( u1D465 ) = u1D450 ) and Identity Function ( u1D453 ( u1D465 ) = u1D465 ). 2. Square Function u1D453 ( u1D465 ) = u1D465 2 3. Cube Function u1D453 ( u1D465 ) = u1D465 3 4. Square Root Function u1D453 ( u1D465 ) = √ u1D465 5. Reciprocal Function u1D453 ( u1D465 ) = 1 u1D465 6. Absolute Value Function u1D453 ( u1D465 ) = ∣ u1D465 ∣ A piecewisedefined function is defined by different rules on different parts of its domain. Graph a piecewisedefined function 1. Divide the domain of the function into parts. 2. Graph separately each branch of the correspond ing parts of the domain. 3. On each branch of the graph, draw end points as a solid dot ∙ if the interval is closed on that side and as ∘ if it is open. ex. Sketch the graph of u1D453 ( u1D465 ) = ⎧ ⎨ ⎩ u1D465 2 , u1D465 < 1 1 , 1 < u1D465 < 3 u1D465, u1D465 ≥ 3 Lecture 10, part II: Section 1.7Lecture 10, part II: Section 1....
View
Full
Document
This note was uploaded on 12/02/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.
 Spring '08
 GERMAN
 Algebra, Trigonometry

Click to edit the document details