Determine whether Rolle's theorem applies to the function shown below on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's theorem. f(x) = x(x- 9)2; [0,9] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are x = (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) O B. Rolle's Theorem does not apply.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.