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The Intermediate Value Theorem is sometimes used to prove that roots exist. For example, is a continuous function. Given f(2) = −4 and f(3) = 1, does f(x) have a root somewhere between x = 2 and x = 3? Why or why not? Homework Help ✎

Is it possible to move from y = –4 to y = 1 without passing through y = 0?

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Click on the link to the right to view the full version of the eTool: Calc 2-82 HW eTool