Provide an appropriate response.Use the Intermediate Value Theorem to prove that 7x3 + 9x2 - 6x - 5 = 0 has a solution between -2 and -1.

What will be an ideal response?


Let f(x) = 7x3 + 9x2 - 6x - 5 and let y0 = 0. f(-2) = -13 and f(-1) = 3. Since f is continuous on  and since y0 = 0 is between f(-2) and f(-1), by the Intermediate Value Theorem, there exists a c in the interval (-2 , -1) with the property that f(c) = 0. Such a c is a solution to the equation 

Mathematics

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A. - 
B. - 
C.
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A. x-intercepts: (-5, 0), (5, 0);
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