CalcNotes0208-page15

CalcNotes0208-page15 - (Section 2.8: Continuity) 2.8.15...

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(Section 2.8: Continuity) 2.8.15 PART H: THE INTERMEDIATE VALUE THEOREM (IVT) Example 13 Examine the graph of fx () = x 2 on the x -interval 0, 2 ± ² ³ ´ . (Figure 2.8.n) f 0 = 0 , and f 2 = 4 . Observe that every function value between 0 and 4 is taken on by f at some x -value in 0, 2 ± ² ³ ´ . This is guaranteed by the fact that f is continuous on 0, 2 ± ² ³ ´ . More generally … The Intermediate Value Theorem (IVT): Informal Statement If a function f is continuous on a closed interval a , b ± ² ³ ´ , then f takes on every real value between fa and fb
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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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