CalcNotes0208-page8

CalcNotes0208-page8 - (Section 2.8: Continuity) 2.8.8...

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(Section 2.8: Continuity) 2.8.8 Example 7 Let fx () = 1 ± x 2 . What is the graph of y = ? y = ± x 2 ² y 2 = 1 ± x 2 y ³ 0 ² x 2 + y 2 = 1 y ³ 0 The graph is the upper half of the unit circle centered at the origin, including the points ± 1, 0 and . (Figure 2.8.j) What are the “continuity intervals” here? When giving what we will call the “continuity intervals ” of a function, we give the most complete possible answer to the question, “Where is the function continuous?” We include brackets where appropriate. For the first two functions in
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This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.

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