(Section 2.8: Continuity) 2.8.15 PART H: THE INTERMEDIATE VALUE THEOREM (IVT)Example 13Examine the graph of fx()=x2on the x-interval 0, 2±²³´. (Figure 2.8.n) f0=0, and f2=4. Observe that every function value between 0 and 4 is taken on byfat some x-value in 0, 2±²³´. This is guaranteed by the fact thatfis continuous on 0, 2±²³´. More generally … The Intermediate Value Theorem (IVT): Informal StatementIf a functionfis continuous on a closed interval a,b±²³´, thenftakes on every real value between faand 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.