Provide an appropriate response.Use the Intermediate Value Theorem to prove that 2x3 - 7x2 - 9x + 4 = 0 has a solution between 4 and 5.

What will be an ideal response?


Let f(x) = 2x3 - 7x2 - 9+ 4 and let y0 = 0. f(4) = -16 and f(5) = 34. Since f is continuous on  and since y0 = 0 is between f(4) and f(5), by the Intermediate Value Theorem, there exists a c in the interval (4 , 5) with the property that f(c) = 0. Such a c is a solution to the equation 

Mathematics

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