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Home > CALC > Chapter 4 > Lesson 4.5.1 > Problem 4-162

4-162.

State the conditions of the Intermediate Value Theorem: 'Since f(x) is continuous on the closed domain [−1, 0]...

Prove the thesis of the IVT: ... and f(−1) < 0 and f(0) > 0, there must be a value c, on −1 < c < 0, such that f(c) = 0.

Check your work: x3 = −0.739

x3 and the actual root should be very close.